Prime Curios!: 163

163
(another Prime Pages' Curiosity)

Curios:

Index
Keywords
Home
Glossary
The book!
Previous
Next
Random

Curios Search:
Participate:

Mail Editor
Submit Curio
Prime Puzzio
Test Number

Single Curio View: (Seek other curios for this number)

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: 2009-12-20 20:07:06.