A062336 - OEIS

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A062336

Primes whose sum of digits is a multiple of 7.

7, 43, 59, 61, 149, 151, 167, 223, 239, 241, 257, 293, 313, 331, 347, 383, 419, 421, 491, 509, 563, 601, 617, 653, 743, 761, 941, 1033, 1049, 1051, 1123, 1193, 1213, 1229, 1231, 1283, 1303, 1319, 1321, 1373, 1409, 1427, 1481, 1553, 1571, 1607, 1733

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OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n = 1..1000

EXAMPLE

419 is a prime with sum of digits = 14, hence belongs to the sequence.

MATHEMATICA

Select[Prime[Range[300]], Divisible[Total[IntegerDigits[#]], 7]&] (* Harvey P. Dale, Jun 27 2021 *)

PROG

(PARI) isok(n) = isprime(n) && sumdigits(n) % 7 == 0 \\ Harry J. Smith, Aug 05 2009

(Magma) [ p: p in PrimesUpTo(100000) | &+Intseq(p) mod 7 eq 0 ]; // Vincenzo Librandi, Apr 02 2011