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 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 0

%I

%S 5129602609,40602028559,69528307577,129007460609,236659873633,

%T 322320688171,371170549153,390581208473,441568239503,651686524243,

%U 761457812389,807722926973,855088513163,855969933859,977398008289,1034360135849,1079253721703

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

%o (PARI) {p = 53; for (k = 1, 10, q = p;

%o while (! isprime (p) ||

%o (q = nextprime (2 + q)) % 13 != 2 ||

%o (q = nextprime (2 + q)) % 13 != 3 ||

%o (q = nextprime (2 + q)) % 13 != 4 ||

%o (q = nextprime (2 + q)) % 13 != 5 ||

%o (q = nextprime (2 + q)) % 13 != 6 ||

%o (q = nextprime (2 + q)) % 13 != 7 ||

%o (q = nextprime (2 + q)) % 13 != 8 ,

%o p = p + 26; q = p); print (p ", ");

%o p = p + 26)};

%Y Cf. A206333.

%K nonn,more

%O 1,1

%A _Zak Seidov_, Oct 24 2020

%E a(11)-a(17) from _Daniel Suteu_, Oct 25 2020

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Last modified May 10 15:34 EDT 2021. Contains 343775 sequences. (Running on oeis4.)