A307476 SanD-104 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 104.

7601249, 8774897, 12199907, 12648659, 12913739, 14141249, 16061657, 16120397, 16394999, 17016407, 18624899, 18920249, 19441907, 19633847, 19822889, 19891049, 19893647, 19922237, 19943117, 19973117, 19994657, 19997147, 21662819, 21818747, 21885779, 22067999, 23511647, 23659907, 23864147

Offset

1,1

Comments

SanD-d primes exist only for d = 14 + 18*k, k = -1/2, 0, 1, 2, 3, ...

This is the sequence for k = 5. See cross-references for other k and related sequences, in particular the main entry A307479.

Links

Table of n, a(n) for n=1..29.

Prog

(PARI) print_A307476(N, d=104)=forprime(p=2, , isprime(p+d)&&sumdigits(p*(p+d))==d&&!print1(p, ", ")&&!N--&&break)

Crossrefs

Cf. A307471 - A307478 (d = 14+18k, k=0..7), A307479 (any d: main entry), A307480 (smallest prime for given d).

Cf. A000040 (primes), A007953 (sum of digits).

Sequence in context: A102334 A043668 A205168 * A237156 A233605 A204803

Adjacent sequences: A307473 A307474 A307475 * A307477 A307478 A307479

Keyword

nonn,base

Author

M. F. Hasler, Apr 09 2019

Status

approved