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A022013 Initial members of prime octuplets (p, p+6, p+8, p+14, p+18, p+20, p+24, p+26). 32
88793, 284723, 855713, 1146773, 6560993, 69156533, 74266253, 218033723, 261672773, 302542763, 964669613, 1340301863, 1400533223, 1422475913, 1837160183, 1962038783, 2117861723, 2249363093, 2272018733, 2558211563 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All terms are congruent to 173 (modulo 210). - 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[200000]], Union[PrimeQ[# + {6, 8, 14, 18, 20, 24, 26}]] == {True} &] (* Vincenzo Librandi, Sep 30 2015 *)

PROG

(Perl) use ntheory ":all"; say for sieve_prime_cluster(1, 1e10, 6, 8, 14, 18, 20, 24, 26); # Dana Jacobsen, Sep 30 2015

(MAGMA) [p: p in PrimesUpTo(2*10^8) | forall{p+r: r in [6, 8, 14, 18, 20, 24, 26] | IsPrime(p+r)}]; // Vincenzo Librandi, Sep 30 2015

(PARI) forprime(p=2, 1e30, if (isprime(p+6) && isprime(p+8) && isprime(p+14) && isprime(p+18) && isprime(p+20) && isprime(p+24) && isprime(p+26) , print1(p", "))) \\ Altug Alkan, Sep 30 2015

CROSSREFS

A065706 is the union of A022011, A022012 and A022013.

Sequence in context: A022201 A031857 A022548 * A233038 A205835 A237902

Adjacent sequences:  A022010 A022011 A022012 * A022014 A022015 A022016

KEYWORD

nonn

AUTHOR

Warut Roonguthai

STATUS

approved

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Last modified April 19 06:30 EDT 2019. Contains 322237 sequences. (Running on oeis4.)