Does the Riemann Hypothesis Follow from the Prime Number Theorem?

  • Level: High School 
  • Thread starter Thread starter mustang19
  • Start date Start date
  • Tags Tags
    Function Zeta function
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
Sign up Log in
1 reply · 1K views
mustang19
Messages
75
Reaction score
4
There are fewer primes for larger n. The n^1/2 just makes the larger n have less impact on the result. So the riemann hypothesis follows from pnt. Does this make any sense to you?
 
Mathematics news on Phys.org

Discussion

Similar threads

Undergrad What is the inequality for prime numbers in the Prime Number Theorem proof?
  • PsychonautQQ
  • · Replies 9 ·
  • General Math
Replies
9
High School How does the Riemann Hypothesis/Riemann Zeta function even work?
  • Beyond3D
  • · Replies 18 ·
  • Topology and Analysis
Replies
18
Resources for 18yo Students: Prime Number Theorem
  • matqkks
  • · Replies 8 ·
  • General Math
Replies
8
Undergrad Resources for teaching the prime number theorem to 18-year-olds
  • matqkks
  • · Replies 1 ·
  • General Math
Replies
1
Undergrad Prime number theorem: asymptotic behavior of π(n) and Li(n)
  • DaTario
  • · Replies 12 ·
  • Set Theory, Logic, Probability, Statistics
Replies
12
Graduate Is this a route to the prime number theorem?
  • arivero
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate How can the prime number theorem be used to understand this proof?
  • ~Death~
  • · Replies 1 ·
  • Linear and Abstract Algebra
Replies
1
Graduate Prime Number Theorem and Its Expansion: A Puzzling Equation
  • autobot.d
  • · Replies 1 ·
  • Calculus
Replies
1
Graduate Prime Number Theorem: Proving Equivalence of $P(x)$ and $Li(x)$
  • peteryellow
  • · Replies 6 ·
  • Linear and Abstract Algebra
Replies
6
Graduate Why doesn't the saddle point method give a simple proof of the prime number theorem?
  • eljose
  • · Replies 13 ·
  • Linear and Abstract Algebra
Replies
13