MathDB

exists prime p so that min n such p|2^n-1 is 3^{2013}

Source: KJMO 2013 p4

May 1, 2019

number theoryprime numbersminimumdivides

Problem Statement

Prove that there exists a prime number

p

such that the minimum positive integer

n

such that

p|2^n -1

3^{2013}