A338868 -id:A338868 - cp's OEIS frontend

A338866 Number of twins of prime quadruples < 10^n.

0, 0, 0, 0, 0, 0, 4, 5, 18, 65, 267, 1238, 6196, 33480, 187932, 1095882, 6629232

Offset: 1

Hans H. Brüggemann, Nov 13 2020

Number of twins of prime quadruples with at most n digits. A twin of prime quadruples consists of two prime quadruples with a (minimal) distance of 30.

			For n=7 the a(7)=4 solutions are: [(1006301, 1006303, 1006307, 1006309), (1006331, 1006333, 1006337, 1006339)], [(2594951, 2594953, 2594957, 2594959), (2594981, 2594983, 2594987, 2594989)], [(3919211, 3919213, 3919217, 3919219), (3919241, 3919243, 3919247, 3919249)], [(9600551, 9600553, 9600557, 9600559), (9600581, 9600583, 9600587, 9600589)].

J. Brüggemann, The twins of prime quadruples up to 10^17 [71 MB]. [broken link]
J. Brüggemann, Calculating prime quadruples, its twins, triples and quadruples. [broken link]

Cf. A007530, A059925, A338868.

a(17) corrected by Hans H. Brüggemann, Apr 11 2021

A339189 Numbers k such that {k, k+2, k+6, k+8, k+120, k+122, k+126, k+128} and either (k+30, k+32, k+36, k+38) or (k+90, k+92, k+96, k+98) are all prime.

Original entry on oeis.org

282005261771, 783976940441, 6341220302111, 31007639083781, 32488685841251, 41199341106101, 44686367247161, 62176060129361, 63866000186501, 153678400278581, 186138073442681, 241720684176611, 242151798378311, 425712041296181, 443552579937161, 557863285811471

Offset: 1

Hans H. Brüggemann, Nov 27 2020

nonn

Each term is the initial member of three prime quadruples (A007530) with the smallest possible difference of 120.

J. Brüggemann, The first triples of prime quadruples. [broken link]
J. Brüggemann, Calculating prime quadruples, its twins, triples and quadruples. [broken link]

Cf. A007530, A338868.

cp's OEIS Frontend

A338866 Number of twins of prime quadruples < 10^n.

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