MathDB

2

Part of 2021 JBMO TST - Turkey

Problems(1)

x is a non-integer rational number, x^n+(x+1)^n is an integer

Source: 2021 Turkey JBMO TST P2

5/23/2021
For which positive integers nn, one can find a non-integer rational number xx such that xn+(x+1)nx^n+(x+1)^n is an integer?
number theory solvedTurkey