MathDB
2^{m-1} can be divided by 127m without residue

Source: VAIMO 1, German Pre-TST 2009

July 16, 2011
number theory unsolvednumber theory

Problem Statement

Let p>7p > 7 be a prime which leaves residue 1 when divided by 6. Let m=2p−1,m=2^p-1, then prove 2m−1−12^{m-1}-1 can be divided by 127m127m without residue.
Back to ProblemsView on AoPS