The Riemann Hypothesis states that:
All non-trivial zeroes of the zeta function have real part 1/2
But there is a much easier way to prove it, and win $1,000,000. Here's how:
Write a list of all the natural numbers, not including 1. The following uses all the natural numbers up to 20, not including 1:
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Remove each number that is divisible by a square number (not including 1^2)
2 3 5 6 7 10 11 13 14 15 17 19
With the following numbers, write all of their prime factors.
2-(2) 3-(3) 5-(5) 6-(3,2) 7-(7) 10-(5,2) 11-(11) 13-(13) 14-(7,2) 15-(5,3) 17-(17) 19-(19)
Replace each number that has an odd number of prime factors with the letter A. Replace each number that has an even number of prime factors with the letter B.
A A A B A B A A B B A A
If you can prove that the distribution of As and Bs is statistically random, you will have proved the Riemann Hypothesis, and won $1,000,000 from the Clay Institute (provided the results are published in a paper, you will win the $1,000,000 after two years of your work being scrutinised by mathematicians to make sure it is correct)
Why don't we try and do this?
Find the prime factors of numbers here: https://www.calculatorsoup.com/calculators/math/prime-factors.php
I will find the prime factors of the numbers 2 to 100
2 - 100: Kyx
101 - 200: spotify95
201 - 300: spotify95
301 - 400:Kyx
401 - 500:
Targets (will turn green once reached):
First 1,000 Numbers
First 10,000 Numbers
First 100,000 Numbers
First 1,000,000 Numbers
First 1,000,000,000 Numbers
ALL NUMBERS UP TO INFINITY
Please post your As and Bs below and state which numbers they are for, for example
This is for the numbers 2-20: A A A B A B A A B B A A
EDIT: It should be noted that this will not prove the Reimann hypothesis unless we can do it for all positive numbers, which is impossible using this method. This is designed to have some fun and to get more people interested in mathematics
You can find all our results in one post here: https://quantusinc.forumotion.com/t122-riemann-hypothesis-our-proof-so-far#1294
All non-trivial zeroes of the zeta function have real part 1/2
But there is a much easier way to prove it, and win $1,000,000. Here's how:
Write a list of all the natural numbers, not including 1. The following uses all the natural numbers up to 20, not including 1:
2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Remove each number that is divisible by a square number (not including 1^2)
2 3 5 6 7 10 11 13 14 15 17 19
With the following numbers, write all of their prime factors.
2-(2) 3-(3) 5-(5) 6-(3,2) 7-(7) 10-(5,2) 11-(11) 13-(13) 14-(7,2) 15-(5,3) 17-(17) 19-(19)
Replace each number that has an odd number of prime factors with the letter A. Replace each number that has an even number of prime factors with the letter B.
A A A B A B A A B B A A
If you can prove that the distribution of As and Bs is statistically random, you will have proved the Riemann Hypothesis, and won $1,000,000 from the Clay Institute (provided the results are published in a paper, you will win the $1,000,000 after two years of your work being scrutinised by mathematicians to make sure it is correct)
Why don't we try and do this?
Find the prime factors of numbers here: https://www.calculatorsoup.com/calculators/math/prime-factors.php
I will find the prime factors of the numbers 2 to 100
2 - 100: Kyx
101 - 200: spotify95
201 - 300: spotify95
301 - 400:Kyx
401 - 500:
Targets (will turn green once reached):
First 1,000 Numbers
First 10,000 Numbers
First 100,000 Numbers
First 1,000,000 Numbers
First 1,000,000,000 Numbers
ALL NUMBERS UP TO INFINITY
Please post your As and Bs below and state which numbers they are for, for example
This is for the numbers 2-20: A A A B A B A A B B A A
EDIT: It should be noted that this will not prove the Reimann hypothesis unless we can do it for all positive numbers, which is impossible using this method. This is designed to have some fun and to get more people interested in mathematics
You can find all our results in one post here: https://quantusinc.forumotion.com/t122-riemann-hypothesis-our-proof-so-far#1294
Last edited by Kyx on Wed Apr 18, 2018 2:38 am; edited 5 times in total