View Full Version : Number Theory
- Fermat's Last Theorem (FLT)
- Goldbach conjecture
- Pi-Sigma hybrid series
- prime numbers searching
- How do we define division?
- Prime Number Distribution Solved?
- Pi r^2 /3
- a curious paradox
- fermat test
- Perfect Numbers
- Fermat Last Theorem look-alike
- undifined 1/0 ?!!!
- New prime series?
- what is zero
- Prove sqrt(6) is irrational
- other ways of counting
- Unique numbers and Infinity
- Real primes as complex composites
- A query that has only got two different prime factors
- Help with theoretical maths
- Proving Gregory's formula
- Partition by primes
- A new prime serie?
- Trying to track down a Partition theorem
- a new prime number!
- Fourier analysis of the prime distribution
- Divisibility Testing
- taking the logarithm of the euler product
- Greatest integer divides p^4 -1
- Computational Number Theory ?!?
- Decimal fractions and the numer 1
- Poincare Conjecture - Solved?
- The Goldbuch's conjecture is right,the prove as follow
- x/0 = x
- The distributive law
- Simple proof, just using the axioms
- Help with a proof.
- Another proof I have a question about
- x * 0=0
- GCD question
- Prime Geometry
- Is 1 a prime number?
- perfect square???
- Algebraic closure of finite field
- Order relation question
- growth of functions
- Has Any One solved Fermats Last Theorem ??
- Defining things by induction
- homework help
- using a balance with 5 weights
- multiplication=addition
- Proof of the formula for the nth derivative of a product
- Pi(x) function solved?....
- Irrational Numbers
- Curious Inequality
- about an identity by Euler...
- Base 0 numbers?
- P[sup]c2[/sup] + 4
- More about Pi(x) and its derivatives...
- inverse chinese remainder theorem
- Cuasi-exact Integral equation for Pi(x)/x**2
- Help with prime factorization proof
- Equivalence Relations
- more about chinese theorem
- a partial solution to the Goldbach Conjecture
- Recursive square roots
- "Extended" Fermat's last theorem.
- Integers Modulo
- Brain teaser?
- Proof of Wilson's Theorem
- Rademacher formula
- Largest n had been factored
- what do you think?
- No problem
- How do you show...
- A poem on the zeta function
- continued fractions
- I don't get this..
- The smallest real number?
- Integral equation for Pi(2**x)/2**2t and its solutions.
- Arxiv.org similar webpages?...
- validity of a proof
- "Factoring" of addition?
- Stuk with simple problem-Help!
- infinite product
- Why 10?
- Good Book?
- Integers Modulo n
- How to solve an exponential ciphers?
- Sums of digits of Perfect Squares
- Square Cubes
- (n^4) + 4 is composite ?
- Some theorems regarding decimal representations
- Some theorem regarding rational numbers
- Fractional Series which approach the square roots of prime numbers.
- Reducing to Pell's equation.
- Nice Identity
- "sum of digits" equation
- challenge problem from class
- Power Tower Help Please.
- modular math problem
- Smallest Number
- Anyone try this.
- The Poincare Conjecture *Kinda long*
- Ancient Fermat's proof?
- Proof of n/7, n=1,2,3,4,5,6
- 7-million digit prime number discovered
- Proof: Numbers with repeating blocks of digits are rational
- Is the number of twin primes really infinite?
- partitions...
- Laplace Transform - How was it created?
- modular math problem
- in need of direction
- tables in -5
- inquisitive minds
- oh i love these brain exercises!
- some more brain exercises!
- Integral equation of second kind and prime number counting function
- lcm
- Pythagoras
- New member = lotsa ?'s
- seeking direction...
- mod
- please help... almost done with them...
- Prime Factorial Conjecture
- modulos
- Any Relationship?
- No same factor theory inference by hey.like
- Mods that will rack your brain...
- A real Challenge!
- Number Base Comparisons
- please help, almost finished...
- Problem...
- Prove that an integer with digits '1' is not a perfect square.
- Basic Divisibility
- Sum of Digits Always Nine
- ebooks ?
- What does e look like?
- proof
- Moebius function
- Number theory questions
- monotone convergence theory
- Prime double pairs.
- The smallest prime
- Generating function
- Distinct Islands in the Matrix
- Dirichlet series inversion?...
- Dirichlet series inversion..
- How to solve Pell's equation
- number of terms in a series
- Questions in number theory...
- Dirichlet series inversion and prime number coutnign function...
- Problems with Riemann function...
- prime numbers function
- generating prime numbers
- How to determine the base of a Number given a problem?
- question on mu(x) function
- [MUST READ] This forum is not for homework or any textbook-style questions.
- Hmmm... recurring numbers...
- Request for an equation
- Fermat
- 2*p>n?
- Arithmetic-geometric mean inequality
- strange pattern in exponents
- interesting problem with possible solution
- Ulam's theory reborn?
- Induction problem
- Congruences, Fermats Little Theorm
- Number theroy and Cryptography??
- Proof- triangles
- Integral representation of Pi(x)/x^4
- I need a proof for this binomial property.
- Finding primes given a condition
- Efficiency: prime test vs prime generator
- Pi doesnt have reapting random digits
- Less notorious, but still important numbers
- Prime divisors of factorials
- prove property of diophantine equation
- Generators of Modular Prime Systems
- An Algorithm to find a Prime Decompisition
- Generator redefined more rigorously
- Help expanding pi square
- A primality test for Fermat numbers faster than Pépin's test ?
- Prime factorization
- Division theory..and Prime Number theory..
- Fundamental Thm of Arithemetic
- Proving with GCD and LCM
- Reimann's Critical Line
- Number of possible electoral college ties
- Pythagorean Triples
- Logical Question-very Good
- what is this formula I found?
- Rather basic question - I think
- Sequences and series.....
- RSA help please
- a=x^b mod p, solvable?
- a part of Kollatz problem
- Multiplication (powers) of fractions
- frustrated
- phi(x)
- series
- P-adic number
- Diophantine equations
- Question about prime numbers
- Modulo arithmetic (?) question
- Proof that 1/2 +2/3 + 3/4...does not equal a whole number
- Two questions
- Is it possible to multiply by 'undefined'?
- Im new
- .333333333333*3 = 1?
- curiosity
- Curse of the Bambino
- Need some help on a proof!
- polynomials (mod p)
- remodularization? help?
- system of linear congruences
- x^2 + 1 == 0 (mod 5^3).
- Triangular numbers and Recursive Series
- Generalized Pell Equation and Primes
- Multiplication of numbers in a grid by vector manipulation
- System of linear congruences... Help, please!
- Perfect squares
- Beginner Books?
- collatz problem
- Merseinne Primes
- infinetely many primes of the form 3n+1
- Re: homogenous polynomials
- Representing a permutation, and a curiosity
- How does that evaluate 1??
- headache about Kollatz algorythm
- Can someone help me with this sum
- I have discovered a formula for PI(x)
- Can any real number....
- Fermat's last theorem
- Number definition
- Infinity
- catalan numbers
- Diophantine Equation
- 2 biquadratic residue mod p
- real roots?
- A trick to calculate Pi(a) for any a?..
- Factoring Pattern for ax^2 + bx + c
- Another Integral for PI(x)
- Isomorphism
- Multiples of 9
- Different factorizations of p^n
- Normal Numbers
- The GIMPS project has found a new Mersenne prime number: M42.
- Prime Numbers
- Multiplication of integers
- A big sum
- Is infinity even or odd?
- A question on infinities.....
- Question on Graph theory
- Absurdity of Cantor's Diagonal Slash
- The way of finding primes
- Quick question regarding Fermat
- Help me about loop invariant of LCM..
- infinity / 0
- Summation of S(N)?
- Dirichlet series....
- prime pairs
- Russell's and Frege's Definition of Number
- a *simple* question on zeta
- legendre symbol proof for (-5/p)
- question about finding last digits of numbers
- Cool thing
- Generalization of FLT
- find remainders
- finding integers
- need desparate help on this question concerning finding a positive integer
- Question on Pi!
- Irrational digits countably infinite?
- How to calculate a zero of the Reimann zeta function?
- What is the closest we have come to...
- Curiosity help...
- Normal numbers
- binary quadratic forms
- series formula
- Generalized Pell Numbers
- simple ( ? ) congruence
- Calculating values of the zeta function
- Area under a helix
- bit strings & Graph theory
- Importance of zero
- Triangular numbers, T(An +B), that equal (Cn+D)*(En+F) for all n
- Odd or Even
- origin of numbers
- curves intersecting at the origin
- congruence help
- finding solutions
- please help me with this!!
- Homomorphisms
- 0^0 = 1?
- Ring laws
- Root sequence question
- Expressing natural numbers
- sum of primes
- 3.73205080756887729352744634.....
- Help about properties of Pell numbers
- ordenation of the complex number and its consequences
- step function
- 2^n+1 = m^2
- Factoring Mersenne and other numbers using tri-math
- Square Root of Sum of Squares
- A VERY interesting Fermat-like sequence: A_n=4^3^n+2^3^n+1
- irrational numbers
- RSA-200 Factored
- Question about Infinity...
- lots of adding
- 0/0??
- Andrew Wiles proved wrong?
- Where to Find Original Manuscript of Proof of Taniyama Shimura Conjecture???
- Prime Numbers in the Diophantine equation q=(n^2+1)/p and p is Prime
- Great Number theory notes
- Looking for Base 12
- The Fibonacci Sequence
- The definition of congruency.
- proving a number is divisible by 48
- quick questions about modular arithmetic
- gcd proof
- Midterm Practice: Find the last digit of a number
- Recursive Series Problem
- what's the probability of R in C?
- Proof of Riemann Hypothesis?
- Congruences
- new to induction, stuck on a proof and i need some help
- remainders
- more trouble with induction
- Is -1 a prime number?
- is this true?
- Riemann Hypothesis
- how to find all solutions of Pell equation
- Quaternions
- Curious about a pattern to prime products.
- A simple permutation question... or not so simple...
- Question about quadratic residues
- Square root of 2....
- Asymptotic formula for Mertens function
- Alsings hypothesis of integers bigger than 2
- Why is gcd important in number theory?
- Riemann Hypothesis and Primes
- Equation in Z
- Why is 1 not considered a prime number?
- Pi(x) function in number theory solved...
- Deutsch's algorithm and p(n)
- Simple solution of FLT?
- Mahler Height
- General solution to Pell-like equation y^2 + 2x^2 = n^2
- congruence problem
- Proof of Golbach's conjecture and the twin prime conjecture
- Quick notation+statement verification
- need help in factoring algorithms
- need help to solve this type of equation
- A thread for learning RSA algorithm
- Prime products...
- Fermat’s Last Theorem: A one-operation proof
- integers mod p
- A formula of prime numbers for interval (q; (q+1)^2), where q is prime number.
- Plynomial to matrix conversion
- Fermat's Last Theorem, proof by Andrew Wiles
- Dedekind's Axiom
- An elliptical constant
- Hadamard Product
- Zeroes
- Pi in Base 16 - special formula
- Base N to Base N Conversion
- ???
- need help to solve this equation
- an integral expression for Pi(x)....
- Puzzle: Name that Theorem
- zeroes at the end of a FACTORIAL
- Congruencies
- Non-integral bases?
- Evaluation of a number-theoretical sum
- About Euler's totient function
- Good Number theory book?
- A Steep towards a formula for Pi(x)
- How to solve this eqution
- An strategy to prove Riemann hypothesis..
- primes in 4n+1/3
- Representation of Rational Numbers by Formulas
- Yet another formula for pi(x)
- Are Riemann hypothesis and Goldbach conjecture related?...
- Seiving for Primes
- Questions on number theory..
- Design algorithm problem
- Beal conjecture
- relation to Non-Recursive formulas for K(n) and K(2n)
- Magical Fibonacci Array
- A proof of RH using quantum physics...:)
- Proof of Fermat's Little Theorem
- The product of all irrationals
- Congruent equality - how to prove?
- divisors
- n^3-n
- Find all n^3-n = d^2+d
- a^3+b^3+c^3>=3abc
- A formula of prime numbers for interval (q; (q+1)^2)
- Prime-free sequence problems
- Prime number counting function with error O(x^e)
- new math problem book
- solution needed 4 a very good problem!
- God, I hate Number Theory Proofs
- Proof help
- Quick Clarification
- Prime counting function-- no error.
- N elevators serving M floors most efficiently
- Beginning Number Theory
- 1= .9999999999999999999.........
- Fibonacci Phi - The Golden Ratio
- (a^m^2 + 1) | (a^n^2 - 1) ???
- easy big square w/0 calculator
- recursive formula for zeta function of positive even integers
- *|*Interesting Limit Set*|*
- Binary numbers and gcd/lcm
- A quick one
- A proof of Riemann hypothesis (but of course the snobbish journals don,t want...
- nCk is a natural number
- Notation: ln_2(k)?
- 3 Problems
- Epstein Zeta function...
- Interesting problem from my analysis class
- Twin Primes
- Why is i^i a real number?
- Could Riemann Hypothesis be completely false?...
- The Riemann Hypothesis
- RSA640 factored
- plotting pi on number line?
- Any Good Literature or Books on Number Theory
- help me
- a good problem
- Help please
- Irrational numbers question.
- Any Cryptographers out there?
- Bounding pi(n)?
- Canter's method
- A good problem
- Euler's Method of proving primes r infinite
- Properties of Composites Composed of Two Odd Prime Factors
- Properties of Composites Composed of Two Odd Prime Factors
- Properties of Composites Composed of Two Odd Prime Factors
- Properties of Composites Composed of Two Odd Prime Factors
- Partition Function
- Quick questions~
- combinetrics
- continuing series
- a tricky one
- Congruences of (x^n-2) and its factors
- Practical pseudoprimality testing
- Induction
- see this
- what is this sequence?
- 2 elevators problem, gcd
- number theory
- FLT-Solution for prime values of "n".
- game theory
- Infinite primes using Quadratic Residues
- Fourier complex series for Pi(x)
- First attempt at a proof...
- Geometric rotation of (a + bi)
- Non integer square roots and pi = irrational?
- M43: GIMPS project has found a new Mersenne prime
- cryptography
- Interesting Question
- Factors of the form N^2 - 3N +1
- division by seven
- Fermat's last theorem.
- Generating Functions!
- Coding Theory Homework Question
- coding theory & cryptography books
- towers of integers and divisibilty by 11
- Question on the mod operator.
- Help with ECDSA (crypto)
- ? about .999..=1
- Numbers
- Sine Waves and Primes
- Sine Waves and Primes
- Space Complexity of Number-theoretic Algorithms
- Meta Math! by Gregory Chaitin
- Algorithmic complexity of primes
- number theory book
- Combinatoric Problems, need help
- perfect square
- cryptography questions
- a^2 + b^2 = c^3
- A $1,000,000 Question
- Composite numbers and squares from recursive series
- N=a^2+b^2+c^2
- A "problem" like Fermat's Last "Theorem"
- Other "primes"
- Measurments of Pi
- primitive roots
- roots and order of an integer
- Negligible function question.
- Multiplication
- any solution?
- Curious identity?..
- Difference tables
- Snyder's number
- "Intuitive" Number theory:
- Proof for nonexistence of a prime counting function?
- Riemann Zeta Function?
- Lebesgue integral of a_p
- evaluation of inverse transform:
- Article: Prime Numbers Get Hitched
- index arithmetic
- last digits of 3^999
- inference of even or odd from the number of divisors?
- proposition 36 of book IX in the elements
- HIlbert-Polya conjecture...¿proof or RH?
- Amc 12b #20
- New Conjecture
- ? about Godel's incomplete theorm
- What,s the meaning of this expression?..
- the Riemann Hypothesis
- Charasteristic prime function...
- primes as roots of same function..
- irreducible polynomials
- Wilson theorem and formulas for pi(x)
- x² + y² = 1 (mod p)
- euler product and Goldbach conjecture..
- Factors of triangular numbers forming arithmetic series
- True or False?
- Another (candidate) test of primality of Mersenne number
- Encryption question
- Undecidability and truth
- If you knew Pi(x) for every number...
- Smallest 'm'
- perfect numbers beside 6 in mod6.
- Any conclusions about the gaps between p and p^2?
- Mathematics behind Rubik's Cube?
- Relate Mersenne Primes To Sq Triangular Nos.
- Relate Mersenne Primes To Sq Triangular Nos.
- Which formula for solving first common point?
- Problem I Found
- divine proportion?
- A diophantine equation
- Probability Question
- help : greatest common factor
- Bruijn Newmann Constant...
- Hadamard product and "density" of zeros inside the critical strip..
- A trick to proof RH using asymptotic Analysis...
- Twin Primes of the form (8n+5,8n+7)
- Sums of Squares
- Modular cube roots
- binomial coefficient modulo a prime
- sum is unique?
- What is so special about 3(mod4)?
- binomial coefficient modulo 2^n
- A fast and easy proof of PNT?..
- Prime pattern
- Isolation by bisection
- Berry Conjecture
- A Fibonacci type sequence
- A Factorization Algorithm
- Arithmetic Progression
- Random Number Generator
- "Correspondence" principle?..
- Number Theory Text
- Prime Number Gaps
- 32n + 3 = 0 mod p formula for n
- "primes" as Energy levels...(eigenvalues of a certain operator)
- An elementary problem equivalent to the Riemann hypothesis
- any one can find this answer
- Circle Method...
- Chebyshev function...
- Trigonometric series...
- Recursive Trees (from GED)
- ab ≡ 0 (mod N)
- Finding small primes (fast determanistic tests)
- Congruence...
- unattainable score!
- unattainable score!
- Differential equation for Pi(x)..
- Question Regarding Goldbach's Conjecture
- Pocklington's Criterion?
- lim sup of difference of primes
- Please double-check me! (easy, important?)
- MObius transform sum...
- Beyond PNT..
- Something i didn't know about polynomials
- Birthday Minimum to cover all 365 days...
- Question about "primes"...
- Question about Proofs
- induction proof notation
- Integral involving Pi(x)
- vonMangoldt formula
- ? about .999~=1
- Random Number Generator, Lottery, and duplicats
- Elementary Proof
- k-th "Twin prime"...
- solving x^{n}+a=mod(b)
- Riemann Prime Counting Function
- Simple question regarding formulae for power series
- Problem of paired sums from two sets of numbers
- sopfr function and cycles
- Prime "spiral"?..
- More primes..
- How fast?...
- Primorial: asymptotics and bounds
- Legendre's conjecture?
- If "Twin prime conjecture" fails...
- Congruence Question !!
- Checking Primes
- An inequality involving phi() and pi()
- Quick question about Pi
- Factorization Algorithm II
- Primorials and the Next Prime
- Muddled Equations
- Quadratic congruences with prime modulus
- Learning congruences
- Randomness and probability
- Primorial, (n#)
- Algebraic Number Theory
- Cramér model
- Construct for a Base a Factorization Algorithm
- Question about congruences and orders
- Polynoms
- Polynomial Multiplication with NTT
- An Integer Function Puzzle
- Another Base a Factorization Method
- Hints that a dynamical system may lie behind the distribution of primes
- A quick question on coefficient of binomial expansion
- Newton (iterative) method to solve a diophantine equation
- Floor[3^(3^x)]
- A "real" number definition involving Bruijn-Newmann constant..
- A Non-negative Power Puzzle
- Number Theory Question
- FLT for n=3 ( proving by the other way)
- LLT numbers
- Question related to Pell's Equation
- Euclidean rings
- Another Euclidean ring
- Linear Spike Method
- finding integer points...
- MOdular Hypergeometric Sieve and Parallel Processing
- Lucas-Lehmer Test With Polynomials
- Cyclotomic polynomials and primitive roots of unity
- Randomness of digits of irrational numbers.
- Parametric representation
- divisibility of n by 6
- Hiding small numbers in a huge number?
- non archimedean norm
- simple question on squares of rationals...
- Fibonacci Rectangles and Triangular Numbers
- One more elementary question, on square roots..
- Fintely generated ideals
- Free abelian group proof help
- stationarity theory
- Wythoff' array and Wechsler's Sequence
- Goodbye, Fermat’s theorem!
- Ramsey 2879
- Roots of unity proof
- Inverses for units
- approximate evaluation of this series (exponential sum)
- Very easy question
- How fast??
- A Divisibility Puzzle
- Fibonacci limit
- triplets and quaternions
- Polyform series
- Help with Fibonacci Identity
- [SOLVED] A different approach to prime numbers
- Interesting lemma
- [SOLVED] infinite set of coprimes
- Most rapidly convergent reciprocal prime series equal to 1
- diophantine equations
- binary string gradients
- sum of 4 squares and Riemann zeros
- 11^8 = a Fibonacci Problem
- Dirichlet series
- n-reciprocity
- Sequence of circumscribed Cartesian coordinates
- Series of superimposed regular polygons
- Simple Question - It's been a while since College
- uniform distributed modulo 1, exp factor
- primitive roots.
- Simple Prime Numbers Questions
- PRNG vs CSPRNG
- does gcd(n, n+1)=1?
- Sequence of ratios of primes and integers
- Simple permutations proof
- divisibility problem cant use module just induction
- To little time to find them
- Total number of zeros.
- Is it true for all n, Natural number?
- Proving asymptotics to sequences
- reducing numbers
- 'Euler criterion' for cube roots?
- Newton method and f(x)=0mod(p)
- A conjecture about Dirichlet series.
- cosπ/n+cos3π/n+cos5π/n+.....+cos(2n-1)π/n
- can we find using rule and...
- please complete series
- Circle method for Laplace transform.
- A little stumped on a number theory question
- greatest lower bound
- Is this product convergent...
- A Question to Trouble Even the Best of You
- Can this sum be made??
- Is the distribution of "almost-primes" known.
- Easy Questions, Difficult Answers
- more than a simple coincidence??
- Intermediate Value Theorem for Polynomials
- Weierstrass theorems and primes.
- GRE Practice Test Questions
- Sequence: Periodic or Not?
- Proof that sum of 3 roots of rationals is rational etc
- An apparent paradox??
- Series of Primes
- calculating pi
- Find Solutions- Number Theory
- im soooooo close to solving this problem (Rings)
- Spacing of Riemann's Zeros
- Mellin-Perron inverse transform.
- a question that should use pigeon hole principle.
- multiplication of primitive roots
- But..is really so easy? (Möbius inversion)
- Please i need help with Base Mathematics
- base mathematics
- Ramanujan Misterious PI formula..
- Permu-Combi
- Riemann Zeros and Harmonic Frequencies
- sum over primes..
- asymptotic behaviour of functions..
- News on Riemann Hypothesis
- A new Perfect number formula
- Continued fractions for (ir)rationals
- Beilinson's regulator map
- Basic Number Theory
- Solving a System of Congruences with A Changing Modulus
- Fun Divisibility Problem
- does this expression make sense.
- the sum over primes involving powers of 10
- Growth rate
- integer roots of curves.
- A formula related to multiplicative order
- A conjecture on Cesaro summation and primes.
- Dirichlet Generating function and Poles.
- smoothly populated lattices
- continued fractions
- Zeta function of Polynomial
- Solve formulas containing the floor function
- Double check -- this is prime, yes?
- fooledbyprimes
- Tringular Number Identity
- Subtract The Exponents, Get 3
- twin prime acceleration!!!!
- Fermat's equation.
- Ideal Number
- Certain product sequences and their factors
- Difficult Proof
- Question on a form of the Euler constant
- 'Pseudocubality' -- fast tests for large possible-cubes
- Fermat's Last theorem
- On Riemann Hypothesis
- Construction of a cyclic sequence re the Golden Ratio
- Guessing Number-Generating Algorithm
- Solve This
- Multiplicative order
- number question
- 5 and 7
- Series Name?
- Arithmetic Series and Triangular Numbers
- Creating an Optimizer - What is the correct Math Model or formula to use ?
- Gaussian Integers and Pythagorean Triplets
- Skewes' number (sort of)
- Minimal prime tuplets
- Problem
- number theory proof?
- Proving that cube root 7 is irrational
- Numbers with a prime factor > sqrt
- Software that outputs a general polynomial formula for a finite series
- Phi is irrational
- Congurence
- Recursive Series Equality
- Sequence and divisibility
- arithmetic progressions
- last two digits of 2^999
- infinite primes?
- Help for Number Theory problem
- Help for another trouble
- Prime numbers and divisibility
- String and Riemann?
- New recursive series identity
- Semiprime test
- find the highest power of 2 dividing n!
- Proving a Diophantine equation.
- a question about the solution of linear equation
- a conjecture for the solutions of linear equations
- Best Website for Induction
- Eulers and Fermats Theorems Help
- Difficlut problem
- Induction Question
- permutations
- Another on recurrence sequences
- Congruences with fractions
- Tate Twist
- Proof: divisibility of 5
- Proof: integers divisibility property
- measure theory and number theory?
- Riemanns hypothesis
- decoding some prime number conjectures
- The limit of a factoring algorithm
- GCD question`
- Repeating Decimals
- A new twist on twisted prismatic rings
- Number Theory Symbol
- The solution of one very old problem.
- Strange Incredible Identity
- proves that...
- is 19 = x^2 mod p solvable? p=68659
- integer solutions
- Table as a function of x and y
- I made the following conjecture
- Prove a^2 + b^2 = 3(s^2 + t^2) implies both a and b must are divisible by 3
- Counting partitions with two givens
- Help with a proof
- De Moivre's Theorum and Double-Angle Formulas
- Partitioning problem
- infinity subtracted from infinity is undefined.
- Problem Dealing with Digit Cycles
- Derivation of Euler's formula for phi(m)
- 2^k + n (mod p)
- Proof Questions!
- [SOLVED] cubic reciprocity?
- Conjecture
- Value of finite sum
- x^y=y^x
- [SOLVED] elliptic curve
- Help with a proof
- Goldbach's Conjecture (Theorem??)
- Fermat's Theorm extension
- 196-Algorithm (palindromic numbers)
- real number set and countablity
- Selberg Delange method and Mertens function.
- conjecture about Dirichlet series.
- Logical Systems+new Principles+attempt To Solve Collatz Conjecture
- Mathematics
- Conjecture re form x^2 + Mxy + y^2
- Pascals Triangle Manipulation...
- [SOLVED] Set of n+1 integers from 2n
- do +0 and -0 make sence?
- Relations?!
- Help with a proof
- Number Theory & Abstract Algebra
- Number Theory?
- Number Theory?
- asymptotic expansion for Mertens function
- How is this a contradiction?
- Books on Number theory
- Conjugate and Inverse Quaternions
- Modular arithmetic
- Parallel discrete logs (continues: modular arithmetic)
- modular algorithm question
- simple problem... 3x = 1 (mod 16), find all possible values of x mod 16
- New Mersenne numbers conjecture
- Multiplying Large Numbers
- Cesaro summability and Mertens function
- Density of forms x^2+y^3, x^2+y^4, ...
- Using Quadratic formula in other fields
- Direct Image Sheaf
- Proof subset????
- exponential sum
- Graph, degree, vertex...
- Hamming Distance
- textbook?
- A Puzzle
- primitive root !
- Reverse Partition grouping problem
- Induction Proof
- Arithmetic tables...?!?
- Venn Diagram proof?
- Choose subset of n+1 from 2n set
- Euler, phi and division
- Heapsort?!
- questions about twin prime numbers
- help to solve this please ? .. integer problem
- Prove that phi(a^n - 1) is divisible by n
- Prove that a^t = -1 (mod p^k) for....
- Fourier Series
- Infinite Sum Question (q-harmonic?)
- Is Godel's incompletness theorem complete?
- series property
- product sum relation
- Zeros between [a, b]
- there exists one number N
- Lebesgue measure and scale freedom
- Lebesgue measure and scale freedom
- easy math quesiton
- Germain primes
- Palindromic Number Question
- A question about gcd
- Reducing Number of Multiplications in a Loop
- Exponential bound for Euler's zeta function?
- Fast pseudoprime tests
- extraneous roots
- (n-1)! is divisible by n
- [((n-1)/2)!]^2 = -(-1)^[(n-1)/2] (mod n)
- Decryption of a text.
- Chinese Remainder Theorem
- Integer Factorization Algorithm
- please help.
- Proof....
- What is Probabilistic number theory , could we rely on it ?
- divisibility problem
- Ulam Spiral
- RIemann-Weyl formula and application
- Conjecture re Fibonacci numbers
- Oilers' product? help please.
- Abundant Numbers
- 2 questions about numbers
- Show multiplicative order is multiplicative (told this was easy but I can't see it)
- Ramanujan amazing formula
- What does this equation mean to you?
- Primitive roots - annoying problem
- Program for graphing Riemann zeta function
- Why not randomness for primes' distribution?
- The dumb conjecture of the day
- Prime gaps
- Quadratic Nonresidues
- a nice problem
- 1/a + 1/b + 1/c = 1
- Cyclic quadratic residues
- hello
- number theoretical theta function
- Simple notation question
- Pascal Triangle & Its Applications.
- functions
- how long before digits repeat
- Sum of primes < n
- primes to 1
- Iteration of Euler's phi function
- structure of numbers (part1)
- goldbach conjecture proof
- Sum of squares
- Weil's Conjectures and Grothendieck's "Standard Conjectures"
- Very clever and difficult number theory puzzle (with generalization)
- Ancient Vocabulary
- Prime Numbers
- For lack of a better word, Modifiers.
- Radicals and 2^11-1
- Prim numbers formula
- Riemann Hypothesis
- Reasons why infinity hasn't been implemented into modern math
- Prime factorization of rationals
- Euler's theorem as primality test?
- Totient Function and phi(n)==phi(2n) for odd n
- cryptography help
- Barry Mazur's current BAMS article
- Simple prime/GCD proof question...
- Testing Abundant Number Formula?
- Phi
- prove (n^5 - n) is divisible by 5 by induction
- the great math problems
- Divisible by a square
- Why is the number e special?
- Properties of the Absolute Value
- Unique Factorization Theorem
- Question about large powers and small numerical values without using a calculator
- project
- summation involving von Mangoldt function
- Dissected Number Law
- Primes (sorry)
- How to formalize
- Is it possible to find function that describes irrational things?
- Fermat's Last Theorem Case 1
- Fermat's theorem
- Random Numbers
- Unsigned Stirling numbers of the first kind
- empirical proof of a conjecture
- The converse and proving whether or not the converse holds
- Would Gauss still make his comment today?
- Optimization Problem
- divisors
- Integers reachable by ax + by + 30xy
- explicit formulae for L-function
- riemann zeta function
- An inquiry into whether or not 1000009 is a prime number
- Question about p-adic number
- Collatz Conjecture
- weak form of Dirichlet's theorem
- rational ^ sqrt(5) = rational ?
- derivation of nth fibonacci term
- Practical applications of number theory?
- Primality proving for 'near-powers'
- TWO new Mersenne primes?
- Incommensurable Proof
- Seeking a Proof of Incommensurability
- Binomial theorum, when k is a multiple of x
- difference of square no.s
- Computing the Möbius function
- Prove This
- Question on Graph
- Question on Binary tree
- Three conjectures looking for a proof ! 100Euro reward !
- more on riemann zeta function
- Need help proving Order of a formula
- Connes Trace
- continued fractions and nested radicals
- Factoring numbers mentally
- riemann hypothesis
- Unsolvable exponental?
- Logic Paradox (Need Help)
- what is the flaw with this proof?
- synthetic division
- solving Congruences
- Prime Numbers
- riemann zeta function
- proof for divisability tests
- Gilbreath's Conjecture
- Sum of product
- Counting pseudoprimes
- Resummation of the Harmonic series!
- quadratic form
- exponential sums and congruences
- Number Theory advice
- Euler product regularization
- Using vectors to represent integers
- Where is the flaw in this proof?
- Number Theory: Wilson's Theorem
- Help me figure out this algorithm
- derivation of e
- Equation problem
- Divisibility and Congruence problem
- any help?
- Harmonic function
- Prime number theorem
- partioning natural numbers
- mobius function
- Product Identity
- quadratic numbers
- Euler phi function
- prime numbers use
- Linear congruence
- Funcitonal equation for Selberg Zeta
- Story behind imaginary numbers
- stronger Goldbach-related conjecture
- Imaginary Zeros of Zeta Function
- Carmichael number
- Edouard Lucas. Théorie des Nombres. Help with his unpublished Second Volume
- Pi in binary
- Plotting Pythagorean triples in a polar form
- identity of Zeta function
- equation
- Riemann Zeta zeros
- subfields of a field
- irreducible polynomial, cyclic group
- Chance of random walk returning to origin
- Prime number puzzle
- Mobius Inversion, finite subgroup
- Where Fibonacci numbers surpass prime numbers
- 3D mirror inverted numbers
- zeta function in the critical strip
- i need help to prove this theory
- Error terms in Taylor Series
- Algorithmic Complexity and Big-Oh notation
- Rule of division by 23.
- Divisor function
- Roots of -1
- Does divisibility apply to imaginary numbers?
- Novel constant
- Why 30 is the largest integer such that none of its....?
- Proof: Basis Representation Theorem
- Euclidean alg
- odds that two numbers are coprime
- Primitive root modulo n
- is e^ix multivalued, roots of unity, etc
- An arithmetic series of primes
- Is 0.999...=1 an Error in Math?
- Riemann Zeta Function
- numbers puzzle....
- Relatively prime numbers
- p-adic field
- Modular Arithematic-see if my answer is correct
- Fast primality test for small numbers
- Converting rational number to a new base.
- Characters
- Does (2^n) mod 3 = 0 exist?
- Combining residue classes
- Iterating general commutative operations
- Is this proof of riemann hypothesis?
- points on an unit circle over finite field
- Grander than the Riemann Hypothesis
- Clock Design for Zeta Zeros Mechanic Calculator
- Can an integer always be represented through the multiplication of 2 or more integers
- Next line in the sequence...
- Irrational Numbers
- Characteristic value of Fibonacci Sequences
- prime algorhithms
- How do I prove my result?
- Silly question, could use some assistance
- Are primes just "random"?
- Most Unreliable Technique in the World to compute pi
- Order of 3 modulo a Mersenne prime
- Some help with a continued fraction?
- factors of product of n distinct primes
- prime numbers problem
- Divisibility & congruences
- Distribution of primes
- An Elementary Proof Of Both The Beal Conjecture And Fermat's Last Theorem.
- Andrew Wiles proof.
- Can we "reach" all the irrationals?
- (a^n)-1
- Is there a proof for this?
- Reachability and cheap calculation
- proof
- Integer tuples with equal L1 and L2 norms
- sum of distinct primes
- Rational values of hypergeometric function
- Need books/articles with proofs of polygonal number theorem
- Proof for Rieman Hypothesis
- congruence
- [(2*(n^2)+1] MUST be divisible by 3
- a^3 + b^3 = c^3 where a, b, c, are sides of a triangle?
- real value
- Bounds on pi(x) without the RH?
- Prime Number Conundrum
- an small question about RSA algorithm
- general form of prime no.s
- shocked by a Ramanujan identity
- prime number algorithm
- n congruent 3 mod 4
- Did Selberg proved RH ??
- asymptotic expansion
- musical algorithm
- Transcendence
- no idea how to solve this
- Playing around with imag. numbers.
- sum over primes (conjecture)
- unknown primes less than largest known prime?
- recursively defined numbers, need to show they are non-decreasing
- constructible root from cubic polynomial
- getting phi of a large number
- Proof a number is irrational
- expansion for the prime counting function
- what is the meaning of this expression ?
- integer-valued function
- coloring graphs
- The Probabilistic argument
- Hardy-Voronoi formula from Poisson summation
- congruences
- Poisson distribution and binomial distribution questions
- 'factor'yse this
- Conjecture on primes (not mine=)
- A prime generator I discovered
- can magma do this?
- Density of primes between square numbers
- zeta function over primes
- Result similar to Gaussian Sums.
- geometric representation of composite numbers
- Unsolved Problems in Computational/Algorithmic Number Theory/Cryptography
- Possible convergence of prime series
- smoothed sums
- Average minimum tries for prime factorization
- Number of prime factors
- A conjecture about sums of uniquely valued primes
- remainder of the product of the relatively prime numbers
- euler's polynomial proof
- Is that an algebraic number?
- 2 Questions
- explicit formulae for L-function
- Proofs of impossibility
- are prime fractals, or have a fractal geometry ??
- Conjecture for prime pairs of difference two
- ideal classes in the ring of integers in quadratic number fields
- Prove 5 is not a member of the sequence
- proof for non constant polynomial function
- Describe all n such that 3 devides n2^n+1
- A Mobius sequence
- The Riemann Hypothesis for High School Students
- Riemann proof effect on factoring composites
- plane lattice proof of Leibniz series
- Needed help with algorightm
- What is the formula for this curve?
- Automorphic forms introduction for physicist
- Longest repeated sequence in the prime counting function
- Is set of points (p,q) countable?
- Spectral interpretation of Primes
- a*b = LCM(a,b)*HCF(a,b)
- A non-trivial infinity of zeroes with real part one-half
- Dirichlet's theorem
- Zeta function and summation convergence
- Russian Dolls Matryoshka Approach to Riemann Hypothesis
- The Riemann Hypothesis for High School Students: why proof so difficult
- Are half of all natural numbers even?
- Incomplete gamma function question
- Polylogarithm identity question
- Sequel for my proof for Riemann's hypothesis
- Accurate Proof and varification for Riemann Hypothesis
- the concept of zero
- Number Theory Problem
- fermat primes
- Question about Selberg Zeta.
- Gamma function summation
- definitions of gamma function
- The Riemann Hypothesis for Calculus Students: interesting relative limit behavior
- What to make out of series like 1+2+3+... = -1/12 ?
- Coprime pythagorean quadruples or higher tuples?
- Why doesnt Bertrand's postulate imply Legendre's conjecture?
- Euler constants
- chebyshev function help
- sum of unique powers of 3
- a^(de) == a mod n
- Irreducible Polynomials
- intermediate ratio
- legendre and riemann
- Defining division by zero?
- Pythagorean triplets
- Metareal numbers
- How to prove this theorem
- Pseudoprimes
- perfect square in 2 bases
- Need help with a series
- simple proof check
- ArXiv - I need an endorser!
- matlab
- Help with polygamma function
- construction of lines from points
- How can I compute "r" from: c = g^m * r^N mod N^2
- Find b from a = b^x
- Fundamental Theorem of Arithmetic Problem
- prove...
- Number of Solutions to d(p)
- Square of an Number
- Is this a possibly novel reformulation of the Riemann Hypoythesis?
- a couple of "Infinite Series" questions...
- Landau Notation question
- Simple twin prime generator
- Divisibility question
- has anyone read Ken Conrow's Collatz Conjecture website?
- Partial Summation Question
- Complete Residue problem
- why why why why ??
- On the primality of 2^p+3^q
- Möbius function and prime numbers
- Simple number theory, divisibility
- Infinite product of consecutive odd/even, even/odd ratios
- Polynomial Expansion of a Constant and Variable
- Related to partition theory, ways of representing a number
- Approximating the reals by rationals (Littlewood's Conjecture)
- A seemingly simple combinatorial problem
- Can someone explain zeros and zeta function for Riemann Hypothesis? (Yr13)
- help for zeta functional equation
- RH and Ulam's spiral
- Bernoulli Number's conjeture?
- proof about number theory
- The most accurate integral for the value of pi
- Proving Inequalities
- a floor function derivation
- square root of 1 with mod...how to prove it?
- Polynomial ordering in Maxima or MATLAB
- On Carmichael Numbers
- game thery
- Zeta Function
- The prime numbers distribution in R
- Cycle Length of the Positive Powers of Two Mod Powers of Ten
- Number theory and groups
- divisibility
- Riemann-Siegel Theta Function Approximation
- divisibility of powers of primes
- factorials
- Divisibility Question
- Square pyramidal numbers and Tetrahedral numbers
- mathematics of finance & number theory
- Generalized ZETA function
- Integer Factorization with q < 2p
- I'm curious about a number series...
- Square of the sum = Sum of the cubes
- A Geometric Approach to the Riemann Hypothesis
- Diophantine and coprime solutions x,y
- Alignments of runners
- Modulo arthmetic solve for x^N.....
- Relationship between primitive roots of a prime
- integral equation for Xi-function
- Sequence of 0,1,5 (ANT)
- 2^n-1
- Bezout's theorem
- a good problem
- Number derivative
- The Chinese Remainder Theorem for moduli that aren't relatively prime
- Stirling's approximation proof?
- Product of unique prime factors
- Extension of Bezout's identity
- Why decimal?
- Fermat's little theorem
- proof modolu
- primitive element modulo p
- Hadamard Product for Riemann's Xi Function
- Perfect Numbers
- No greatest integer proof.
- Prove the following is irrational
- A Proof of Fermat's Little Theorem
- Matric adding up to zero
- Elliptic Curves
- Modulo in solving numbers raised to high exponents
- Natural Numbers & the Pythagorean Theorem
- Arbitrary cycle of digits in rational number?
- How to express as a quotient of base n integers
- Consequences of Godel's Theorems
- the 100 % conjecture
- Prime number dividing fractions.
- Multiple of prime p + multiple of (integer<p) = 1 proof?
- The worst case for trial division factorisation of n?
- number theory function
- Large Mersenne primes
- Fast way to find Z value hit or missed
- PHI Function
- Euclidean algorithm Proof
- Number Theory proof linked to decimals
- Prime Number Counting
- Re triangular numbers
- p-adic numbers
- k(m^2-n^2)==2(m^3+n^3-lm)
- Goldbach's Conjecture - Proof (better link)
- For all solutions of n and m that satisfy.
- Greatest common divisor | Relatively prime
- help to get this books
- Why if the sum of a number's digits is divisible by 3, that no. is divisible by 3?
- ax+by=c => gcd(a,b)|c ?
- Every natural number is sum of powers of 2
- Did Paul Cohen "settle" the Continuum Hypothesis?
- Every root of 2 is irrational.
- how about riemann conjecture
- Help deriving integer sequence formula
- Help with proof of theorem related to Fermat's.
- Why is phi(n) always an even number?
- Questions about the basic properties of Integers
- Recursive series for sum of 2 powers
- Proof of Euler's fuction.
- Goldbach and Polignac - Proof
- Principle of Induction and Principle of Well-Ordering
- Subset proof help!
- base representation plz help~
- Equation for Finding Primes?
- proving group commutativity
- number theory and theoretical physics
- How to 'undo' mod, or solve equation with a mod.?
- Common Divisor Proof
- ax≡ay (mod m) iff x≡y (mod m/(a,m))
- GCD in PROOF??
- f(x)≡0 (mod 15) Find all roots mod 15
- Well-ordering theorem
- Zeros of the Zeta Function
- how to tell if something has a common factor
- Linear diophantine equations
- Diophantine
- Why 8 decimal places?
- Question about irrational numbers
- About this strategy to prove Riemann Hypothesis
- Square of the Riemann zeta-function in terms of the divisor summatory function.
- trivial zeros of the Riemann zeta function
- proof in dummit and foote
- [Remember Your Squares] Something I Found
- Euclid's Proof
- What is Riemann zeta function.
- Euler's phi function
- Complete residue system Question
- Prime & Congruences
- Goldbach conjecture variation
- Integral equation for Riesz function
- Wilson's Theorem
- Cryptography / Number Theory
- Congruences and primes
- a proof
- TOO easy integral ?
- Some help with a number theory problem
- "order" of a mod m & quadratic residues
- Primes Paper
- How to Proof?
- Primitive roots & Reduced residue system
- number 9 phenomenon
- Trace formula in noncommutative geometry and the Riemann hypothesis
- degree of polynomial gcd
- Pairwise coprime sets?
- Legendre Symbol (2/p)
- Is there an equation to find roots?
- Euler phi function
- Floor function
- Chinese Remainder Theorem, Solving For Multiplicative Inverses
- Between two powers of an integer there is a power of two
- Primitive Pythagorean Triple
- Beating an old horse .(9) question
- Is this true?
- Irrational numbers in infinite list of integers
- sequence of number
- Period of superposed cyclic integer rows
- Importance of the first 3 primes
- Prove that every natural number is either odd or even
- Divisibility
- Number theory: Binary Quadratic Forms
- Mathematical Induction on rationals
- Inequality proof
- solutions of a diophantine equation
- Arithmetical fucntion and distributions
- Sumfree subsets
- A problem in algebraic number theory
- Primitive Pyth. triples: Solutions of x^2 + y^2 = 2 z^2
- Elliptic Curve y^2 = x^3 +17; show N_p = p
- binary 2^n - 1 divisibility
- Proving that m^270300 = 1 (mod 11113121)
- growth order of function.
- Rational Bases
- finding the base of numbers from a given equation
- On prime differences
- Expansion of Fermat's Little Theorem
- Primes of form 10^k + 1?
- Random Matrix Theory
- Interesting method for prime discovery?
- Fermit's theorem
- Reversing Logarithmic Integral Function
- Prove Wilson's theorem by Lagrange's theorem
- gcd(a,b,c)lcm(a,b,c)=abc => a,b,c relatively prime in pairs
- Induction over the rationals?
- n^3 mod t covers all remainders?
- Is that a Formula???
- Jacobi Symbol Properties
- Multiples of Three
- Prove a = b
- To PI or not to PI challenge. Stern-Brocot
- Solve a Integer equation system
- Conjecture re 32n^2 + 3n
- Is this number algebraic or transcendental?
- Triangular numbers facturable into n*(n+k)
- Simple Number Theory Problem
- Simple Proof of Riemann's Hypothesis
- an introductory course on RH.
- Irrational number approximation by a rational number
- Find the 3rd and 4th K values
- Hamming Code, Parity Matrix
- Coset Decoding
- Pseudorandom integer sequence having at least 15 adjacent differences > 36
- prime divisors of 4n^2+4n-1
- 2 number theory problems
- prime division & repetition period
- Pairs of twin primes
- Background needed to understand number theory research papers.
- continued fraction question
- Quaternions - Meaning and multiplication
- Factorial of 0=1 ?!!
- Finding GCD in Q[sqrt 3]
- Sum of subsets
- finding the pattern
- Quadratic integers help
- 1<2
- Prime congruence series formula
- Sum or upped bound of geometrico-harmonic series
- solutions of a particular equation
- Diophantine equation x^4 - y^4 = 2 z^2
- Dirichlet Inverse
- Domain and countability
- Elegant Solution for the Snooker ball Problem
- Novel Generalization Of Square Triangular Nos?
- is randomness provable?
- goldbach
- congruence of rectangles? please help
- Proof of lcm(a,b)
- factorials of prime numbers? please help
- Giving i a concrete meaning
- is k[x^2,x^3] dedekind?
- want help in my work.
- sequence of integers and arithmetic progressions
- sum of reciprocal of integers
- Quadratic forms with p-adic coefficient
- Twin Prime Conjecture Proof
- Cardinal numbers and Borges
- On the complexity of pi, e
- Quintic/Quartic
- Forbidden Solution
- Rational Numbers
- Hensel's lemma (Understanding it's Proof)
- A proposed Hamiltonian operator for Riemann Hypothesis
- find a function from the limit
- Is the Goldbach Conjecture part of a larger pattern?
- sum over primes asymtotics
- solutions to equations in the padic integers (rationals)
- Prove if a belongs R, then (a^2)^1/2= |a|?
- Why is anything raised to the power zero, one?
- Transcendental Values for sin(Q*pi)
- Elliptic curves
- Decomposition groups of subextensions
- Efficient way to solve basic high school level number theory questions?
- Why is -1*-1=1
- how to prove this congruent proof?
- Simple Proof of Beal's Conjecture
- i^i means WHAT?!?!?!?!?!
- Tensor products in Number theory!
- Revised Simple Proof of the Beal's Conjecture
- Symmetry and Pseudoprimes
- Number of partitions of 2N into N parts
- very simple (Dis)proof of Riemann hypothesis, Goldbach, Polignac, Legendre conjecture
- Irrational+Irrational=Rational (deeper)
- Choosing post grad programme (Arithmetic Combinatorics or Algebraic Number Theory)
- Prime number.
- I apologize if this is old. Thing I found.
- Yet another Goldbach proof...
- the number of ways to express a specific summation
- Pleas, suggest a advanced+serious Number Theory book!
- Mathematical Paradox
- patterns of remainders when dividing x^n/n!
- Divisibility rules using sum of digits
- Explanation of ultimate factorial value in differences between x^n integer series
- Next number in the series
- prime or composite
- Next number
- p1^m1 mod 2^n = p2^m2 mod 2^n
- Linear Combination of Primes
- Prove gcd(m,n)=1 implies gcd(2m+n,2n)=1 (n odd)
- undigned first type stirling number
- Genus 2 Hyperelliptic curves
- Hmm....?
- sum of series
- Diophantine Equation a(3b+1)=c
- Sum of squares?
- Why "modulo m1" and "modulo m2" implies "modulo [m1, m2]"
- Cantor's s(w)et :)
- Interesting note on 2*Pn...
- Selberg-delange method
- Something interesting concerning parity...
- Existance of square number in Power Summation
- Find and Test Primes using the Chinese Remainder Theorem and Binary Search
- quick logic question
- lowest multiple
- Is it possible
- Math Programming Language
- K-th Prime Proofs & Co-Prime Numbers
- the prime number theorem
- Proof of Goldbach,Polignac,Legendre,Sophie Germain conjecture.pdf
- Purpose of the Continued Fraction Factorisation Method
- rational numbers and periodic decimal expansions
- Visualization and Goldbach...
- primegod
- Complex numbers roots
- Arithmetic progression of prime numbers
- Sum of 2 normal numbers still normal?
- Zeta and susy
- Complex number Inerpolation ...
- Is this a route to the prime number theorem?
- is there a way to differentiate between numbers
- Is there a probabilistic approach to number theory conjectures?
- Is it possible to simplify the RH problem?
- Twin Prime Sieve
- In how many ways can I write n as a sum of integers?
- Infinitely many primes in Q[Sqrt(d)]
- multiplying permutations
- RH zeroes as energy levels
- Associates and their Norms
- how does this number system conversion algorithm work?
- perfect square
- Show one ring not isomorphic to the other
- number system with an irrational base
- Playing with Small Natural Numbers Network
- I've never felt dumber: please help me understand Fibonacci identity.
- Congruence Classes
- UFD Questions
- Prime values of integer polynomials
- rounding
- Integral closure
- a question about factoring and factors
- Notion of Congruence
- Prime factorial proof
- Finite subsets of N
- Proof involving surjective/onto and image/preimage of sets
- Goldbach Partitions
- Prime Indices & the Divisors of (p'_n - 1): A Lattice-Related Question
- Frequency of Greatest Integer quotients
- 26 is unique between a square (5^2) and a cube (3^3)
- solving an equation
- Congruence Class Question
- factoring in finite fields
- Frequency of prime numbers?
- Quick Quadratic Field Problem
- continuation of zeta function
- A Tetrahedral Counterpart to Ramanujan-Nagell Trinagular Numbers?
- factoring a surrogate number...please help
- Euler phi property
- The "Tetraktysal Kissing Triangle" (TK_n) & Lower Bounds of Kissing Numbers to D=10
- Unique Factorization
- Relatively Prime Quadratic Integers
- Relationship among LCM, GCD, and coprimes
- factorization and 4
- FORMULA FOR |(Z/p^nZ)^x|
- Sum of Squares, Distinct Primes
- Prime number proof question
- |0|?
- Expended Fermats last theorem
- Perfect number
- recursive series S(n): 8*N*S(n) +1 = square
- DIVISIBILITY CONGRUENCE question
- Prime congruence problem
- Integral domain unit problem
- Coprime numbers
- Question on coprimes
- Mathematical induction....please help me!!!!
- Divisors
- disproof_of_RiemannHypothesis.pdf
- Proof an equation
- Sum of two primes
- Test for Primes
- Help proving gcf(a,b) = gcf(a-b,2b-a)?
- Prime numbers of given form
- A little renewed Disproof of Riemann hypothesis
- Prime factrization theory
- What does Hilbert's Satz 90 mean?
- Observation: A Prime / Mersenne / (Ramanujan) Triangular Number Convolution
- x^4+nY^4 = prime?, etc.
- Can someone tell me what this is called?
- Prove the quadratic formula
- proving a solution exist? (mod p)
- help with 3 proofs (integers/diophantine equations)
- Help with limit proof
- Show 6 divides (n^2+5)n
- Fermat's Last Theorem - Exponent Three
- Physical representation of irrational numbers
- find all solutions to 3^a - 1 = 2b^2 - B.M.O. problem
- could this be a demonstrtion of following lucky strikes?
- Another number sequence type
- Riemann Hypothesis and Quantum Mechanics
- Basis Rep Theorem.
- true randomness
- solve 2^n+3=m^m
- Feigenbaum number in other fundamental constants
- Kummer extensions of p-adics
- Series
- Value of a strange continued fraction
- Relationship between binary quadratic forms and corresponding ideal class
- Simple Proof of Fermat's Last Theorem and Beal's Conjecture
- a/n=a^(1/n)
- Prime Roots
- HELP! Mathematical notation needed for a prime mod 12 pattern
- Difficult Number Theory question
- Mobius inversion formula question
- Prime = 1 or 3 mod 4
- Elliott-Halberstam conjecture and the Riemann Hypothesis
- Digit sums of large numbers
- Solving mod n?
- minimum degree of polynomial time NP complete problem algorithm
- Harmonic series, slowest diverging series?
- Equation in natural number
- Numerical evaluation of this series
- Conjecture: Sophie Germain Triangles & x | 2y^2 + 2y - 3 = z^2
- proof geometrically that QX and QY are the roots
- asymptotic distribution of prime gaps
- New approach to FLT Proof for prime powers of n
- Question about Elliptic curves taken over the algebraic closure of the Rationals
- Ken Ono cracks partition number mystery
- The proof that an odd perfect number does not exist
- probabilistic algorithms vs. deterministic algorithms
- (Not a Proof of) Goldbach's Conjecture
- quick problem?
- Is Fractual Geometry Theory Real?
- The clue to the proof of Riemann hypothesis
- theory of RZF question
- relatively prime and independent confusion
- Elementary published (but possibly flawed) proof of FLT
- proof in reduced residues please help
- quick one: \varphi{(p)}- \varphi{(p-1)}= [\varphi{(\varphi{(p)})}]^3
- Induction
- E8 root system question
- Ken Ono and Hausdorff dimensions
- Finding integer numbers using basic operations
- Number Theory
- OBSERVATION: The #31, The Golden Scale, Prime Counting Function & Partition Numbers
- Significance of calculating non primes in sequence.
- Breaking RSA if you know m^k = 1 mod n
- Square root simplification.
- Inverse image of phi (totient)
- Base of Roman/Greek numbers?
- Number Theory Proof with modulars and polynomials
- Efficiency and the Euclidean Algorithm
- 2*T_x + 1 is Triangular & 3*T_x + 1 is also Triangular
- Ken Ono and Factoring?
- The largest number not in the form of ax+by, with gdc(a,b)=1.
- Can Fractals be "reversed engineered?"
- How to prove (p-1)! = -1 (mod p), p is a prime.
- Euler's number e and Jacob Bernoulli's expression
- So, what is multiplication?
- Probably a dumb question but....
- Conjecture about primes
- i have no knowledge of number theory
- Number of digits in a number?
- Cute formula for pi
- Number theory puzzler
- Roll a 13 using 2 ordinary dice
- Help with a tan(arccos(z)) question
- A Surjective Function for All [R]
- P-adic volume of p-adic circle.
- Fibonacci and lucas series.......
- Integer prime factorization
- Proof that irrational numbers do not exist
- quick question quartic reciprocity
- Approximate ratio
- Eisenstein Series.
- Riemann hypothesis and number theory
- Inverse of b mod n?
- Number suquence similarity
- Möbius inversion and number theory question
- What is this?: SUM(<1..M> X^N)
- number Theory calculators
- power of powers
- ?gcd(x c y , z)
- cryptography knapsack
- cryptography playfAIR
- sequence decode
- Cryptography - modulo arithmetic
- Fonction smaller than iterated logs, but not constant
- Prove an Infinite Series is Irrational
- Powers of integers and factorials
- Question from the proof in euler's forumla
- Sum of prime factors
- Dirichlet Series and L-series
- a cuestion about the Riemann Xi
- Sophie Germain Triangular Numbers: An Explicit (Simple/r) Formula via Pell Numbers
- Sums of Squares
- The square of the Zeta Function
- Visual Prime Pattern identified
- If 1 were congruent number...
- Conjecture: Prime Divisibility & First Differences of Stirling & Eulerian Triangles
- How to prove (p-1)!/1+(p-1)!/2+....+(p-1)!/(p-1) mod p^2
- music of primes
- Help me make a Base 'Pseudo-Pi'
- is 59,649,589,127,497,217 a prime no.?
- Question about Cauchy Theorem to Abelians groups
- completely multiplicative
- zeros of modular forms.
- I would like to argue about (-8)^(1/3) = -2
- Facinating experiment with primes and resulting theory
- Do their exist
- n equals the cube of the sum of its digits
- Mobius inversion?
- Infinite Semi-Pronic Prime Series Appears to Converge
- Question on x^k=b mod m
- Modulus with 3 equations
- A new prime sieve
- Primes between 1 and a limit!!
- Graham's number
- An identity about Gamma and Riemann function
- Congruence Proof
- ethereal primal music
- How to solve the equations with modulo m
- General rule for a confusing series
- Conjectures by Legendre and Brocard made stronger.
- Totient function and distinct primes.
- Sum of Numbers with distinct digiits?!
- e+pi is transcendental
- Where are the irrational numbers?
- Perfect Numbers and their reciprocals.
- writing numbers in statistical way?
- I need help writing a mathematica function.
- Explicit formula
- Mod of binomial expansion
- Imaginary Numbers
- Lattice Point Equidistant Proof
- Sequencing
- continued fractions
- Number of solutions for a congruence p^2
- How many primes needed for the GOLDBACH CONJECTURE?
- modulo operation for polynomials?
- Gauss lemma extension?
- unique factorization domain
- Who Discover That?
- Countable sets
- Pattern to indexes of deletions in a seive.
- Products of disjoint cycles. Explanation please.
- integer factorization given enough primes
- summation of n^2
- number of ways to choose N integers that sum up to X
- infinite number of units
- Dirichlet eta approximate functional equation
- A proposed proof for Legendre's Conjecture -- please help me find the flaw -- thanks
- how is it called this function ??
- k*Lucas_n + 1 is a prime of Lucas Number Index (a Lattice/Partition # Relationship?)
- p-adic analysis question
- One line function to find n mod 4 (n % 4)
- Nth term of prime number sequence
- Extended Euclidean Algorithm
- proving prime numbers
- A Measure of How un-prime a Number is?
- Infinitley many prime numbers
- Trivial zeros of Zeta Riemann Function
- Evaluating base 10 logs
- challenge from jostpuur
- Algebraic and Transcendental irrational numbers
- Proof or counter example
- Conserving contiguity with a transposed progression
- Interesting pi notation problem
- Sum of digits without regard to place value?
- How many ways to express a prime (= 1 mod 4) into sum of 2 squares ?
- Question about Dirichlet's theorem on arithmetic progressions
- ENA molecular structure related to continued fractions
- Sum of squares of prime factors
- Congruence Solving
- Direct formulae for prime number functions
- New Sieving Method, Goldbach's Conjecture
- how to draw this curve ??
- Approximating an area by rectangles
- divisiblities of 1, 11, 111 ...
- Proof root N is irrational
- Recurrence formula in Pell's equation
- Primes and arithmetic progressions.
- Quantifiers - does this order matter?
- Future of number theory
- How to prove 'infinite primes' kind of problem
- Need help starting a proof about an infinite square grid.
- All Square Numbers Follow a Recursive Series?
- New Points of View on the Selberg Zeta Function
- sine of inverse pi pattern
- Multiplicative order modulo t and t/2.
- Computation of Continued Fractions of irrational numbers
- Sum of first n Fibonacci numbers with respect to n?
- An arithmetic gamma function?
- Short Proof of FLT
- Find a solution for a Pell's equation
- Are the number of operations countable or uncountable?
- Why an odd perfect number, if exists, is not divisble by 3?
- divisibility & factorial?
- Math tricks for everyone
- Selberg Zeta function proof
- Checking weather any positive number is zero or not
- A ring of odd primes
- Proposed Hamiltonian whose zeros are the Square of the imaginary part of Riemann Zero
- The Pellians: Pell's equation and its twin, the negative Pellian
- Complex Beta-expansion
- Rational Convergents to General and Regular Continued Fractions
- Divisibility question; consecutive numbers
- Paradox for the existence of 4,5 and 7 using Brocard's problem
- Theorem of mutations in a numeral sequence
- A question on square residue.
- Properties of the super-golden ratio?
- Finding Primes: A Divisor summatory function
- Number of Primes Between n and 2n
- Brocard's problem.
- Find the sum in this given question...very interesting and analytical
- gcd and lcm
- Is this possible to solve?
- An efficient way to find perfect squares?
- Interesting modular arithmetic problem I found
- Dirichlet's Theorem on Arithmetic Progressions
- derivative of the pi function
- Counting continued fraction numbers
- Fibonacci Primes
- Additive Prime Numbers: Is There Anything Known About them?
- Does doubling the sum of prime factors always lead to 16?
- How do primes come out of Peano arithmetic?
- Pythagorean Triangles with one side equal s and hypothenuse equal 2 s+1
- What puts the analysis in analytic number theory?
- Tricky sequence
- At what point do the sums of the reciprocals converge?
- Irrational Number Phenomenon
- Classic problems about parity property!
- A logical (and simple) explanation for (-1*1=-1)?
- Z[x]/(1-x)/(x^{p-1}+...+x+1) = Z/pZ ?
- Collatz Conjecture - Bouncing Ideas
- Endomorphism ring over an elliptic curve
- physics of Roulette
- 70. anniversary
- Unique sums over combinations
- exponential function question
- GCD of two powers of 2, minus 1
- Is there any way to find the product of prime numbers?
- given c, solution to a-b=c with a,b,c coprimes?
- Baby Step Giant Step
- Make 1+4+...+n^2 perfect square
- Help me prove a simple conjecture (even/odd related)
- Interesting way to define a sequence of Squares
- any 4 from 8 switch permutation
- about the partial sums of divisor functions
- solving modulo equation
- How to prove this?
- New Test for Primes
- The set of all continuous functions...
- Inductive Proof (+linear equation in four variables)
- Cumulative sum of Goldbach Partitions
- Arithmetics in Z
- Show co-prime...
- Solving Systems of Congruences when mods not pairwise relatively prime
- Zeta Function for dummies.
- What is the nature of zero?
- number and base
- Integer solution to exponential diophantine equation
- Proof by induction
- Proof needed
- Programming details on the computation of the Riemann zeta function using Aribas
- quotient
- Peano Axioms and Shoenfield
- Starting learning number theory
- Interesting number theory-related problem.
- Two primes in a Primitive Pythagorean Triangle
- Trivial zeros in the Riemann Zeta function
- Count all even from 1 to n
- Degree of Rational Function Field
- number theory proof.
- Algebraic structure : Group
- Having Trouble Adapting Discrete Mathematics
- Prime Number Related Notation Question
- Riemann Hypothesis equivalence
- Show that sqrt(n!) is irrational
- nth roots of a number
- A question about an infinite product
- proove number inequality
- Need help w/ Fibonnaci and Golden Ratio proof
- Abstract Algebra Proof: Groups....
- Is 0.9 recurring equal to 1?
- riemann zeta functionpole question?
- Questions about Pollard's Rho and Brent's Cycle Finding
- Is a number preceding infinity, finite?
- Found Some Pattern in prime numbers
- Determining groups...not sure how to prove it.
- Collatz Conjecture
- Power series expansion
- Integer values of this expression
- Real Numbers vs Extended Real Numbers
- Recommend a good book on cryptography/steganography
- Further Maths, D1 - Dijkstra's Algorithm!
- continued fraction convergents
- Some real number trivia
- Abstract Algebra Questions.....
- Shrinking down a^b mod m when b is huge and a is irrational?
- What is the difference between "Field" and "Set"?
- variable power as an axis, nonsense? please comment
- one,zero,one,zero...
- Lucky numbers properties
- Partitions with restrictions
- Complete integer compositions, intuitive aspects
- Reducing the operation by using the modulo
- problem about Fermat numbers and order of an element
- prime question
- Inherent negativity of seemingly symmetric finite integer sets
- How to state fundamental theorem of arithmetic in a formal way?
- Splitting apart bases with a power
- Need help explaining what I've done
- problem involving existence of solutions for x^2 = a (mod p)
- arbitrary digit of an exponential number
- Does this polynomial produce only prime numbers?
- Relations between coefficient and exponent of Proth prime [itex]k\cdot 2^n+1[/itex]?
- Is 0 (zero) a convention?
- Would someone tell me about the importance of number theory?
- Necessary But Not Sufficient Check For Addition
- Relationships of the number kind
- Complex numbers...
- Combinatorics question
- 0 divided by 0
- Complex numbers
- Square roots of large numbers
- Certain and Curious Number Sequence
- Whats the best software to calculate very large numbers?
- diophantine equations of the form x^3-dy^3=1
- A Question About How to Show A Relation is Recursive
- Friend's proof that n(0) = 0
- Need program for operating on 200-digited numbers
- Gauss Composition? and a naive composition law
- Nonunique factorization theory
- Transforming a binary vector
- Can we change Euler's Formula?
- Difference in Powers of Odd Primes
- Generating function
- Help with nth partial sum?
- nth term
- Product of a specific sequence of prime number squares
- generating function
- Help with Mobius Inversion in "Riemann's Zeta Function" by Edwards (J to Prime Pi)
- f(x)modg(x)
- Proving (a weaker form of) Bertrand's postulate
- Proving non-existence of integer solutions by reducing mod p
- modulo division with negative power ?
- An approach to the Twin Prime Conjecture
- Any numbers being Complex numbers
- A Question about p-adic numbers
- Connes' trace.. but what is the operator ?¿¿
- Divisible
- Residue field of p-adic integers...
- Question regarding quadratic-like residues in (Z/pZ)[i].
- (another)interesting number theory problem
- Post-office Problem for n>2
- Bounding a prime number based equation
- Asymptotic formula for the sum of log(p)/p
- the average of the real parts of the nontrivial zeros of zeta function
- How to solve for x in 36=X^X?
- Finding x through mod regarding G.C.D
- Counting with composites..... Please advise
- Converting between bases without base 10 mid-step
- <help> loockwood's identity
- ((my) mod n ) congruent to n-1
- How reasonable to assume a prime gap of at least 10 before a pair of Twin Primes?
- Pairwise Relatively Prime Proof
- Is this an induction problem?
- An algebraic proof of Fermat's conjecture
- base changing for transcendental numbers
- Prime Number Algorithm
- fermat's equation solution in Z
- The form of a squared integer
- Ramsey Primes
- Easy algorithms to produce big numbers
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