The Riemann Hypothesis states that:

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:

Remove each number that is divisible by a square number (not including 1^2)

With the following numbers, write all of their prime factors.

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.

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: ThatsAGoodOne349

201 - 300: spotify95

301 - 400:

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

**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: ThatsAGoodOne349

201 - 300: spotify95

301 - 400:

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**