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A214629 Primes p such that the sum of the digits plus the product of the digits add to a prime. 2

%I

%S 11,13,19,23,29,31,37,43,53,59,61,73,79,89,97,101,223,263,283,401,409,

%T 443,601,607,809,823,829,883,1013,1019,1031,1033,1039,1051,1091,1093,

%U 1097,1103,1109,1117,1123,1129,1151,1163,1171,1181,1187,1193,1213,1231,1259

%N Primes p such that the sum of the digits plus the product of the digits add to a prime.

%F {p in A000040: A061762(p) in A000040}. - _R. J. Mathar_, Aug 13 2012

%e 11 is in the sequence because A061762(11) = 3 is prime.

%t f[n_] := Module[{in = IntegerDigits[n]}, Times @@ in + Plus @@ in];Select[Prime[Range[300]], PrimeQ[f[#]] &]

%K nonn,base

%O 1,1

%A _Vicente Izquierdo Gomez_, Aug 13 2012

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Last modified August 12 23:19 EDT 2020. Contains 336440 sequences. (Running on oeis4.)