Mathematical and Physical Journal
for High Schools
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# Problem B. 4761. (January 2016)

B. 4761. Let $\displaystyle n$ be an integer greater than 3. Prove that if each digit occurs exactly once in the base-$\displaystyle n$ representation of an integer then the number cannot be a prime.

Proposed by Z. Halasi, Csobánka

(4 pont)

Deadline expired on February 10, 2016.

### Statistics:

 122 students sent a solution. 4 points: 79 students. 3 points: 28 students. 2 points: 11 students. 1 point: 2 students. 0 point: 2 students.

Problems in Mathematics of KöMaL, January 2016