Unsolved Problems

Showing 1-3 of 3 problems

Catalan's Conjecture (Mihăilescu's Theorem)

The only solution to $x^p - y^q = 1$ in natural numbers x, y > 0 and p, q > 1 is $3^2 - 2^3 = 1$....

Sums of Two Palindromes

Are a positive proportion of positive integers a sum of two palindromes?...

Covering System with Odd Distinct Moduli

Does there exist a covering system of congruences using only odd distinct moduli?...