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A052376 Primes followed by a [10,2,10] prime difference pattern of A001223. 5
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified February 18 05:35 EST 2019. Contains 320245 sequences. (Running on oeis4.)