Unsolved problems in Number Theory

The ABC or Masser--Oesterle' Conjecture in Number Theory

Sites related to the Catalan Conjecture, that 8 and 9 are the only consecutive powers.

The Collatz, Syracuse or 3x+1 problem

Goldbach conjectured that every even number is the sum of two primes.

Numbers not known to yield a palindrome under repeated applications of the reverse-decimal-digits--then--add map.

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