Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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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.

Statistics:

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

Problems in Mathematics of KöMaL, March 2015