A059925 Numbers n such that {n, n+2, n+6, n+8, n+30, n+32, n+36, n+38} are all prime.

1006301, 2594951, 3919211, 9600551, 10531061, 108816311, 131445701, 152370731, 157131641, 179028761, 211950251, 255352211, 267587861, 557458631, 685124351, 724491371, 821357651, 871411361, 1030262081, 1103104361

Offset

1,1

Comments

Each term is the initial member of two prime quadruples (A007530) with the smallest possible difference of 30.

Links

Jud McCranie and Sebastian Petzelberger, Table of n, a(n) for n = 1..10000 (first 1238 terms from Jud McCranie)

J. Brüggemann, The twins of prime quadruples up to 10^17 [71 MB].

D. La Pierre Ballard, Prime Number Quadruplets 30 Apart

Mathematica

Select[Prime[Range[5582*10^4]], AllTrue[#+{2, 6, 8, 30, 32, 36, 38}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 13 2019 *)

Prog

(PARI) is(n)=my(v=[0, 2, 6, 8, 30, 32, 36, 38]); for(i=1, 8, if(!isprime(n+v[i]), return(0))); 1 \\ Charles R Greathouse IV, Jun 18 2013

Crossrefs

Cf. A007530, A256842.

Sequence in context: A250683 A065326 A213904 * A065327 A234035 A330519

Adjacent sequences: A059922 A059923 A059924 * A059926 A059927 A059928

Keyword

nonn

Author

Martin Raab, Mar 03 2001

Extensions

For clarity, replaced definition by a comment from Charles R Greathouse IV. - N. J. A. Sloane, Nov 26 2020

Status

approved