Mathematical and Physical Journal
for High Schools
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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.


2 students sent a solution.
1 point:2 students.

Problems in Mathematics of KöMaL, March 2015