MathDB
2007 prime numbers

Source: Russian 2007

August 22, 2007
number theoryprime numbersnumber theory proposed

Problem Statement

Determine if there exist prime numbers p1,p2,...,p2007 p_{1},p_{2},...,p_{2007} such that p_{2}|p_{1}^{2}\minus{}1,p_{3}|p_{2}^{2}\minus{}1,...,p_{1}|p_{2007}^{2}\minus{}1.