Recent content by Aditya89

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    Undergrad Solve k^2-1=a^2+b^2: Find Positive Ints

    You can see that Orthodontist's solution is also one of these.
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    Undergrad Solve k^2-1=a^2+b^2: Find Positive Ints

    The solution Here's the solution. We have: k^2-a^2=b^2-1 (k+a)(k-a)=b^2+1 Then choose b such that b is even. This implies b^2+1 is odd. If b^2+1 is a prime, then put k+a=b^2+1 and k-a=1. You will get k&a. If b^2+1 is not a prime, then choose k+a and k-a as its two odd factors. Solving...
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    Graduate What are the fundamental constants that govern the properties of our universe?

    Hey, I read about arbitrary elements sometime ago. Could anybody tell me what affects the values of these? And I also read that some say that the values of these are fine-tuned by the Creator. What is the general take on that?
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    Graduate Is $\forall p,q,r \in \mathbb{N}$ Satisfiable?

    Excuse me, but how {1,1/2,1} is a subset of {0,1/2,1} in the above example?
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    Graduate Is e^pi Rational? - Research Progress

    Is e^pi rational? I seem to have heard from one of my tacher that research was going. How far we have gone?
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    Graduate How Can We Prove That Pi Is Irrational Using Geometrical and Series Methods?

    Hey thanks For that!
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    Simple Algebra Problem: Finding the Product of Consecutive Even Integers

    One more way. x^2+2x=(x+1)^2-1. So, (x+1)^2=49 So, x+1=(+/-)7
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    What is x when y equals 10 in the equation y = log x?

    y=log x means 10^y=x. So, y=10 means x=10^10
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    Graduate How Can We Prove That Pi Is Irrational Using Geometrical and Series Methods?

    Hey guys, how do you prove that 'pi' is irrational? I think that it is related to infinite series? Is there any geometrical method?
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    Undergrad Prime Number Multiplication: Is Result Always Prime?

    Hey guys, u know how Euclid proved that primes r infinite. Now knowing that primes r infinite, if we take some primes p1, p2, p3,...,pn then will p1*p2*...*pn(+/-)1 always be prime?
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    Graduate Proving b>(m+1)^2 for Perfect Square Conditions

    Hey does anybody know how to create mathematical symbols while posting?
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    Graduate Proving b>(m+1)^2 for Perfect Square Conditions

    Sorry for the confusion! Sorry, a*b= k^2, k belongs to the naturals. Not that a*b=a. Really sorry! Thanks for the hint, Shmoe! I may be clser to the solution by an another method. I'll let you know if I get it. BTW, TPT is "to prove that". :wink:
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    Undergrad Euler's Method of proving primes r infinite

    Hey thanks Shmoe! Could you explain Dirichlet's statement(What's an analagous sum?) and proof, please? Aditya
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    Undergrad The Diagonal Method: Proving Sets are Infinite

    Oh! I'm sorry for saying reals & rationals! It's integers and rationals! And why do you count only one proof?
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    Undergrad Euler's Method of proving primes r infinite

    I somewhere read that Euler proved that primes are infinite by proving that the series 1/2 +1/3 + 1/5 +... diverges. Can anybody tell the proof? Aditya