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%I #8 May 08 2023 15:03:31
%S 5,29,193,557,751,3307,4999,7499,16693,20807,31249,59999,60443,79193,
%T 812501,918751,5422943,46295807,55781249,74218751,78281249,89218751,
%U 89999999,282922943,316295807,674218751,1583704193,3824218751,3958704193,4092077057,6342077057,8324218751,31666295807,47779577057,64478795807,66666295807,75000000001
%N Primes p such that p^s ends with p, where s is sum of the digits of p.
%H Max Alekseyev, <a href="/A171267/b171267.txt">Table of n, a(n) for n = 1..107</a>
%e 1583704193^(1+5+8+3+7+0+4+1+9+3)=1583704193 (mod 10^10) so 1583704193 is
%e in the sequence.
%e It is interesting that each of the four numbers 751^(7+5+1), 751^(7*5*1),
%e 751^pi(751) and 751^prime(751) ends with 751.
%t Do[n=Prime[m];a=IntegerDigits[n];If[PowerMod[n,Apply[Plus,a],10^Length[a]]
%t ==n,Print[n]],{m,100000000}]
%Y Cf. A171268, A153427, A153428.
%K base,nonn
%O 1,1
%A _Farideh Firoozbakht_, Apr 28 2010
%E Terms a(28) onward from _Max Alekseyev_, Aug 18 2013
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