There are infinitely many prime numbers along the natural number line…

# Category Archives: Number Theory

## A Brief Analysis of the Collatz Conjecture

Algorithm for the Collatz Conjecture. “In short the Collatz problem is simple enough that anyone can understand it, and yet relates not just to number theory (as described in other answers) but to issues of decidability, chaos, and the foundations of mathematics and of computation. That’s about as good as it gets for a problemContinue reading “A Brief Analysis of the Collatz Conjecture”

## Please vote on the truth of the Collatz conjecture. Thank you! :-)

## Please vote on the truth of the Riemann Hypothesis. Thank you! :-)

## We (mathematicians) have a valid proof of the Riemann Hypothesis that we can celebrate on the great Bernhard Riemann’s 194th birthday, September 17, 2020.

Gauss, Riemann, Hardy, and Hilbert would have been proud of us. Amen! The central ideas behind the proof of the Riemann Hypothesis are deceptively simple. The proof depends on the very important Harmonic Series and the following important fact. For every positive integer, n > 1, there exists a prime number, p, that divides nContinue reading “We (mathematicians) have a valid proof of the Riemann Hypothesis that we can celebrate on the great Bernhard Riemann’s 194th birthday, September 17, 2020.”