# 23

This number is a prime.

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(23, 29) is the only pair of consecutive double-digit primes p, q, such that the sum of digits of p^5 is equal to q and the sum of digits of q^5 is equal to p, (23^5=6436343 (whose sum of digits is 29) and 29^5=20511149 (whose sum of digits is 23). [Loungrides]
Submitted: 2013-12-20 07:00:54; Last Modified: 2019-03-22 09:00:00.

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