12347

This number is a prime.

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The smallest 5-digit prime abcde with distinct digits such that a^a+b^b+c^c+d^d+e^e, is prime, i.e., 1^1+2^2+3^3+4^4+7^7=823831. Note that the sum of squares and the sum of cubes of its digits are also primes. [Loungrides]

Submitted: 2013-10-27 18:23:00;   Last Modified: 2018-04-25 10:51:16.
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