MathDB
k^3 - 36k^2 + 51k - 97 is a multiple of 3^2008.

Source: VAIMO 2008, Problem 3

January 3, 2009
number theory unsolvednumber theory

Problem Statement

Prove there is an integer k k for which k^3 \minus{} 36 k^2 \plus{} 51 k \minus{} 97 is a multiple of 32008. 3^{2008.}