[seqfan] Re: "What primes P have P^P containing the string 'P' assubstring'?"

[Robert G. Wilson v]

Jonathan,

    Maybe a better sequence would be those Primes which are not a substring 
of P^P.

Bob.

--------------------------------------------------
From: "Jonathan Post" <jvospost3 at gmail.com>
Sent: Monday, April 26, 2010 4:07 PM
To: "JM Bergot" <thekingfishb at yahoo.ca>; "Sequence Fanatics Discussion list" 
<seqfan at list.seqfan.eu>
Subject: [seqfan] "What primes P have P^P containing the string 'P' 
assubstring'?"

> JM Bergot asked me in an email: "What primes P have P^P containing the
> string 'P' as substring'?"
>
> 5^5 = 3125 has "5" as substring.
>
> 11^11 = 285311670611 has two substrings of "11"
>
> 17^17 = 827240261886336764177  has "17" as 3rd and 2nd digit from 
> right-hand.
>
> 19^19 = 1978419655660313589123979 has a "19" as its left end, and another 
> later.
>
> 31^31 = 17069174130723235958610643029059314756044734431
>
> has a "31" at right-hand end, and a second to the left a ways.
>
> A051674 (n-th prime)^(n-th prime).
>
> Is there a sequence in there, base and prime related, struggling to be
> interesting to anyone on seqfans?
>
> Eventually, all P^P are pandigital.  But not "normal." Right?
>
> Best,
>
> Jonathan Vos Post
>
>
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