Problem A. 640. (March 2015)
A. 640. Find all primes \(\displaystyle p\) and positive integers \(\displaystyle n\) for which the numbers \(\displaystyle {(k+1)}^n-2k^n\) (\(\displaystyle k=1,2,\ldots,p\)) form a complete residue system modulo \(\displaystyle p\).
(5 pont)
Deadline expired on April 10, 2015.
Statistics:
2 students sent a solution. 1 point: 2 students.
Problems in Mathematics of KöMaL, March 2015