MathDB

Find all n tuples of positive integers

Source:

December 31, 2011

number theory unsolvednumber theory

Problem Statement

Let

n > 1

be a positive integer. Find all

n

-tuples

(a_1 , a_2 ,\ldots, a_n )

of positive integers which are pairwise distinct, pairwise coprime, and such that for each

i

in the range

1 \le i \le n

(a_1 + a_2 + \ldots + a_n )|(a_1^i + a_2^i + \ldots + a_n^i )