A307475 SanD-86 primes: primes p such that p+d is also prime and sum of digits A007953(p(p+d)) = d, with d = 86.

412253, 547661, 871163, 937661, 982703, 989381, 992363, 996551, 999917, 999953, 1296101, 1297601, 1329863, 1336253, 1337813, 1378253, 1410203, 1608611, 1642211, 1857353, 1894601, 1920101, 1946723, 1972721, 1980863, 2073263, 2095151, 2097311, 2163263, 2226701, 2329763, 2344301, 2366303, 2386313

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 = 4. See cross-references for other k and related sequences, in particular the main entry A307479.

Links

Table of n, a(n) for n=1..34.

Prog

(PARI) print_A307475(N, d=86)=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: A182116 A249405 A237676 * A251828 A256732 A078519

Adjacent sequences: A307472 A307473 A307474 * A307476 A307477 A307478

Keyword

nonn,base

Author

M. F. Hasler, Apr 09 2019

Status

approved