A062338 Primes whose sum of digits is a multiple of 4.

13, 17, 31, 53, 71, 79, 97, 103, 107, 211, 233, 251, 277, 349, 367, 389, 431, 439, 457, 479, 503, 521, 547, 569, 587, 619, 659, 673, 677, 691, 701, 709, 727, 839, 853, 857, 907, 929, 947, 983, 1021, 1061, 1069, 1087, 1151, 1201, 1223, 1249, 1289, 1429

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Example

349 is a prime with sum of digits =16=4*4, hence belongs to the sequence.

Maple

filter:= x -> (convert(convert(x, base, 10), `+`) mod 4 = 0) and isprime(x);
A062338:= select(filter, [seq(2*i+1, i=0..1000)]); # Robert Israel, Apr 20 2014

Prog

(Magma) [ p: p in PrimesUpTo(10000) | &+Intseq(p) mod 4 eq 0 ]; /* Vincenzo Librandi, Apr 02 2011 */
(PARI) is(n)=isprime(n) && sumdigits(n)%4==0 \\ Charles R Greathouse IV, Mar 09 2022

Crossrefs

Subsequence of A119449.

Cf. A062336, A062337.

Sequence in context: A129338 A138535 A116671 * A143863 A158571 A176882

Adjacent sequences: A062335 A062336 A062337 * A062339 A062340 A062341

Keyword

nonn,base,easy

Author

Amarnath Murthy, Jun 21 2001

Extensions

Corrected and extended by Larry Reeves (larryr(AT)acm.org), Jul 06 2001

Status

approved