MathDB

ARO 2011 11-7

Source:

April 28, 2011

modular arithmeticalgebrapolynomialcalculusintegrationnumber theory proposednumber theory

Problem Statement

Let

P(a)

be the largest prime positive divisor of

a^2 + 1

. Prove that exist infinitely many positive integers

a, b, c

such that

P(a)=P(b)=P(c)

.
A. Golovanov