David Hilbert’s Sixteenth Problem is an important open problem in mathematics. Good luck!
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”
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.”