|
%I #18 Mar 04 2024 01:15:07
%S 11,101,191,223,227,229,281,313,331,337,359,373,379,397,463,487,557,
%T 577,593,643,683,733,739,757,773,821,863,881,911,937,953,1019,1033,
%U 1091,1109,1123,1129,1181,1213,1231,1259,1277,1291,1303,1321,1381,1433,1439
%N Primes p such that the sum of fifth power of their digits is a prime.
%F If a prime p = abcdef... (each letter being a single digit) then sum = a^5+b^5+... belongs to this sequence if sum is a prime.
%e a(5) = 227 since 2^5+2^5+7^5 = 32+32+16807 = 16871 is a prime.
%t Select[Prime[Range[500]],PrimeQ[Total[IntegerDigits[#]^5]]&] (* _Harvey P. Dale_, May 25 2011 *)
%Y Cf. A046704, A052034, A091366, A091367.
%K nonn,base
%O 1,1
%A _Carmine Suriano_, Sep 02 2010
|
