Mathematical and Physical Journal
for High Schools
Issued by the MATFUND Foundation
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# Problem C. 1273. (February 2015)

C. 1273. Prove that $\displaystyle 3^{4n}+4\cdot 7^{4k}$ is divisible by 5 for all $\displaystyle n,k\in \mathbb{N}$.

(5 pont)

Deadline expired on March 10, 2015.

### Statistics:

 144 students sent a solution. 5 points: 54 students. 4 points: 45 students. 3 points: 37 students. 2 points: 5 students. 1 point: 1 student. 0 point: 2 students.

Problems in Mathematics of KöMaL, February 2015