F. Conjectures Number Theory, Math 413, Fall 1998 A collection of easily stated number theory conjectures which are still open. Each conjecture is stated along with a collection of accessible references. The Riemann Hypothesis Perfect & Mersenne Numbers The Twin Primes Conjecture & Prime Gaps Fermat Numbers Goldbach's Conjecture Catalan's Conjecture Totient Function Conjectures The Collatz ...