MathDB

5

Part of 1997 Czech and Slovak Match

Problems(1)

sum of integers is 1492, can sum of 7th powers be 1996,1998?

Source: Czech and Slovak Match 1997 P5

10/1/2017
The sum of several integers (not necessarily distinct) equals 14921492. Decide whether the sum of their seventh powers can equal (a) 19961996; (b) 19981998.
number theoryIntegerSum of powers