A338394 Primes p such that 8 consecutive primes starting with p are congruent mod 13 to {1,2,3,4,5,6,7,8} respectively

5129602609, 40602028559, 69528307577, 129007460609, 236659873633, 322320688171, 371170549153, 390581208473, 441568239503, 651686524243, 761457812389, 807722926973, 855088513163, 855969933859, 977398008289, 1034360135849, 1079253721703

Offset

1,1

Links

Table of n, a(n) for n=1..17.

Prog

(PARI) {p = 53; for (k = 1, 10, q = p;
    while (! isprime (p) ||
    (q = nextprime (2 + q)) % 13 != 2 ||
    (q = nextprime (2 + q)) % 13 != 3 ||
    (q = nextprime (2 + q)) % 13 != 4 ||
    (q = nextprime (2 + q)) % 13 != 5 ||
    (q = nextprime (2 + q)) % 13 != 6 ||
    (q = nextprime (2 + q)) % 13 != 7 ||
    (q = nextprime (2 + q)) % 13 != 8 ,
     p = p + 26; q = p); print (p ", ");
     p = p + 26)};

Crossrefs

Cf. A206333.

Sequence in context: A227799 A216013 A158726 * A017409 A017529 A321497

Adjacent sequences: A338391 A338392 A338393 * A338395 A338396 A338397

Keyword

nonn,more

Author

Zak Seidov, Oct 24 2020

Extensions

a(11)-a(17) from Daniel Suteu, Oct 25 2020

Status

approved