A052376 Primes followed by a [10,2,10] prime difference pattern of A001223.

409, 1039, 2017, 2719, 3571, 4219, 4231, 4261, 4327, 6079, 6121, 6679, 6781, 8209, 11047, 11149, 11959, 12241, 15277, 19531, 19687, 21577, 21589, 26881, 27529, 28087, 28297, 29389, 30829, 30859, 31069, 32401, 42061, 45307, 47797, 48109

Offset

1,1

Comments

Subsequence of lesser terms of 10-twins (A031928).

Start primes of quadruples consisting of two consecutive 10-twins of prime which are in minimal distance [minD = A052380(10/2) = 12].

First term of this sequence is 409 = A052381(5).

Links

Robert G. Wilson v, Table of n, a(n) for n = 1..1780

Formula

a(n)=p, a prime which begins a [p, p+d, p+D, p+D+d]=[p, p+10, p+12, p+22] prime quadruple.

a(n) = A259025(n)-11. - Robert G. Wilson v, Jul 15 2015

Example

p=1039 begins [1039,1049,1051,1061] prime quadruple with the appropriate difference pattern: [10,2,10]=[d,D-d,d], so d=10, D=12.

Mathematica

{p, q, r, s} = {2, 3, 5, 7}; lst = {}; While[p < 50000, If[ Differences[{p, q, r, s}] == {10, 2, 10}, AppendTo[lst, p]]; {p, q, r, s} = {q, r, s, NextPrime@ s}]; lst (* Robert G. Wilson v, Jul 15 2015 *)

Crossrefs

Cf. A031928, A053323, A052380, A052381, A052377, A052378.

Sequence in context: A213079 A260173 A321151 * A201483 A031601 A107625

Adjacent sequences: A052373 A052374 A052375 * A052377 A052378 A052379

Keyword

nonn

Author

Labos Elemer, Mar 22 2000

Status

approved