A307477 SanD-122 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 122.

39999899, 62999939, 82999919, 96951989, 98487989, 99397619, 137249999, 137363999, 140990999, 141374879, 149999879, 151257989, 154788989, 171151889, 178873889, 181374959, 187054979, 196689989, 197399999, 197415389, 197474489, 199596479, 199924919, 199972379, 212114999, 216794399, 217024979

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 = 6. See cross-references for other k and related sequences, in particular the main entry A307479.

Links

Table of n, a(n) for n=1..27.

Prog

(PARI) print_A307477(N, d=122)=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: A172539 A198809 A181727 * A218390 A186617 A186960

Adjacent sequences: A307474 A307475 A307476 * A307478 A307479 A307480

Keyword

nonn,base

Author

M. F. Hasler, Apr 09 2019

Status

approved