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A022012 Initial members of prime octuplets (p, p+2, p+6, p+12, p+14, p+20, p+24, p+26). 33
17, 1277, 113147, 2580647, 20737877, 58208387, 73373537, 76170527, 100658627, 134764997, 137943347, 165531257, 171958667, 224008217, 252277007, 294536147, 309740987, 311725847, 364154027, 408936947 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are congruent to 17 (modulo 30). - Matt C. Anderson, May 26 2015

LINKS

Matt C. Anderson and Dana Jacobsen, Table of n, a(n) for n = 1..10000 [first 1000 terms from Matt C. Anderson]

T. Forbes, Prime k-tuplets

MATHEMATICA

Select[Prime[Range[2 10^9]], Union[PrimeQ[# + {2, 6, 12, 14, 20, 24, 26}]] == {True} &] (* Vincenzo Librandi, Oct 01 2015 *)

PROG

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 1e10, 2, 6, 12, 14, 20, 24, 26); # Dana Jacobsen, Sep 30 2015

(MAGMA) [p: p in PrimesUpTo(4*10^8) | forall{p+r: r in [2, 6, 12, 14, 20, 24, 26] | IsPrime(p+r)}]; // Vincenzo Librandi, Oct 01 2015

(PARI) forprime(p=2, 10^30, if (isprime(p+2) && isprime(p+6) && isprime(p+12) && isprime(p+14) && isprime(p+20) && isprime(p+24) && isprime(p+26), print1(p", "))) \\ Altug Alkan, Oct 01 2015

CROSSREFS

A065706 is the union of A022011, A022012 and A022013.

Sequence in context: A229833 A305872 A172456 * A022546 A268067 A188717

Adjacent sequences:  A022009 A022010 A022011 * A022013 A022014 A022015

KEYWORD

nonn

AUTHOR

Warut Roonguthai

STATUS

approved

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Last modified February 24 00:19 EST 2020. Contains 332195 sequences. (Running on oeis4.)