Prime Curios!: 163

163
(another Prime Pages' Curiosity)

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The smallest prime p whose pth power p^p contains a pandigital substring: 163¹⁶³ = 38599...(5941863207)... 95547. Note that

(163) is a semiprime with larger prime factor 19 which is the smallest prime q whose qth power q^q is pandigital, and that the concatenations 16319 and 19163 are also primes. [Beedassy]

Submitted: 2009-07-15 00:08:50; Last Modified: 2009-07-15 07:47:48.