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A171267 Primes p such that p^s ends with p, where s is sum of the digits of p. 3
5, 29, 193, 557, 751, 3307, 4999, 7499, 16693, 20807, 31249, 59999, 60443, 79193, 812501, 918751, 5422943, 46295807, 55781249, 74218751, 78281249, 89218751, 89999999, 282922943, 316295807, 674218751, 1583704193, 3824218751, 3958704193, 4092077057, 6342077057, 8324218751, 31666295807, 47779577057, 64478795807, 66666295807, 75000000001 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Max Alekseyev, Table of n, a(n) for n = 1..107

EXAMPLE

1583704193^(1+5+8+3+7+0+4+1+9+3)=1583704193 (mod 10^10) so 1583704193 is

in the sequence.

It is interesting that each of the four numbers 751^(7+5+1), 751^(7*5*1),

751^pi(751) and 751^prime(751) ends with 751.

MATHEMATICA

Do[n=Prime[m]; a=IntegerDigits[n]; If[PowerMod[n, Apply[Plus, a], 10^Length[a]]

==n, Print[n]], {m, 100000000}]

CROSSREFS

Cf. A171268, A153427, A153428

Sequence in context: A113713 A142980 A062191 * A258314 A225030 A188143

Adjacent sequences:  A171264 A171265 A171266 * A171268 A171269 A171270

KEYWORD

base,nonn

AUTHOR

Farideh Firoozbakht, Apr 28 2010

EXTENSIONS

Terms a(28) onward from Max Alekseyev, Aug 18 2013

STATUS

approved

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Last modified July 22 16:39 EDT 2019. Contains 325224 sequences. (Running on oeis4.)