# 163

This number is a prime.

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The smallest prime *p*whose

*p*th power

*p*

^{p}contains a pandigital substring: 163

^{163}= 38599...(5941863207)...95547. Note that π(163) is a semiprime with larger prime factor 19 which is the smallest prime

*q*whose

*q*th power

*q*

^{q}is pandigital, and that the concatenations 16319 and 19163 are also primes. [Beedassy]

Submitted: 2009-07-15 05:08:50; Last Modified: 2009-12-21 02:07:06.

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