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A176905 Primes p such that p^p contains the string 'p' as a substring. 3
5, 11, 17, 19, 31, 37, 41, 43, 53, 59, 61, 71, 73, 79, 83, 97, 101, 103, 127, 131, 151, 173, 191, 193, 227, 233, 251, 263, 269, 271, 293, 313, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 401, 419, 421, 431, 433, 439, 443, 461, 467, 487, 491, 499, 503, 521 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

17^17=827240261886336764"17"7, 19^19="19"784"19"655660313589123979,..

LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..8114 [Computed using the Mma program]

MATHEMATICA

okQ[n_]:=Module[{idn=IntegerDigits[n], len, idp=IntegerDigits[n^n]}, len=Length[idn]; Length[Flatten[Position[Partition[idp, len, 1], idn]]]>=1]; Select[Prime[Range[250]], okQ]

CROSSREFS

Cf. A169753, A169754, A049329.

Sequence in context: A271982 A338239 A179240 * A084088 A314183 A314184

Adjacent sequences:  A176902 A176903 A176904 * A176906 A176907 A176908

KEYWORD

nonn,base

AUTHOR

Harvey P. Dale & Vladimir Joseph Stephan Orlovsky, Apr 28 2010, May 01 2010

STATUS

approved

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Last modified April 19 13:00 EDT 2021. Contains 343114 sequences. (Running on oeis4.)