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A177192 Primes p such that p^p ends in p and p is not congruent to 1 (mod 10). 0
5, 193, 499, 557, 1249, 1693, 4999, 7057, 31249, 49999, 52057, 54193, 56249, 79193, 281249, 829193, 952057, 4531249, 4999999, 8281249, 8704193, 17077057, 39954193, 54577057, 63281249, 64954193, 904577057, 2154577057, 3092077057, 3958704193 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

A proper subset of A052228.

LINKS

Table of n, a(n) for n=1..30.

Eric Weisstein's World of Mathematics, Automorphic Number.

Index entries for sequences related to automorphic numbers

Index entries for sequences related to final digits of numbers

MATHEMATICA

fQ[n_] := PowerMod[n, n, 10^Floor[Log[10, n] + 1]] == n; p = 2; lst = {}; While[p < 10^12, If[ Mod[p, 10] != 1 && fQ@p, AppendTo[lst, p]; Print@p]; p = NextPrime@p]; lst

CROSSREFS

Cf. A003226, A007185, A016090, A052228.

Sequence in context: A086124 A211505 A198485 * A100760 A240702 A240639

Adjacent sequences:  A177189 A177190 A177191 * A177193 A177194 A177195

KEYWORD

base,nonn

AUTHOR

Jonathan Vos Post and Robert G. Wilson v, May 04 2010

STATUS

approved

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Last modified August 19 18:30 EDT 2022. Contains 356229 sequences. (Running on oeis4.)