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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 points)

Deadline expired on 10 February 2016.

Statistics on problem B. 4761.
 123 students sent a solution. 4 points: 79 students. 3 points: 28 students. 2 points: 11 students. 1 point: 2 students. 0 point: 2 students. Unfair, not evaluated: 1 solution.

• Problems in Mathematics of KöMaL, January 2016

•  Támogatóink: Morgan Stanley