Proper noun
Prouhet-Tarry-Escott problem
(mathematics) The problem of finding two disjoint sets A and B of n integers each, such that
∑
a
∈
A
a
i
=
∑
b
∈
B
b
i
{\displaystyle \sum _{a\in A}a^{i}=\sum _{b\in B}b^{i}}
for each integer i from 1 to a given k.