A227283 - OEIS

The OEIS is supported by the many generous donors to the OEIS Foundation.

A227283

First primes of arithmetic progressions of 8 primes each with the common difference 210.

199, 409, 619, 881, 3499, 3709, 10627, 10859, 11069, 30097, 31583, 120661, 120737, 153319, 182537, 471089, 487391, 564973, 565183, 825991, 1010747, 1280623, 1288607, 1288817, 1302281, 1302491, 1395209, 1982599, 2358841, 2359051, 2439571, 3161017, 3600521

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

The minimal possible difference in an AP-k is conjectured to be k# for all k > 7.

LINKS

Sameen Ahmed Khan, Table of n, a(n) for n = 1..150

MATHEMATICA

Clear[p]; d = 210; ap8p = {}; Do[If[PrimeQ[{p, p + d, p + 2*d, p + 3*d, p + 4*d, p + 5*d, p + 6*d, p + 7*d}] == {True, True, True, True, True, True, True, True}, AppendTo[ap8p, p]], {p, 3, 3000000, 2}]; ap8p

Select[Prime[Range[260000]], AllTrue[NestList[#+210&, #, 7], PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 03 2018 *)

CROSSREFS

Cf. A001359, A023241, A023271, A094220, A156204, A227281, A227282, A227284, A227285, A227286.

Sequence in context: A004946 A157955 A033168 * A269325 A227284 A140632

Adjacent sequences: A227280 A227281 A227282 * A227284 A227285 A227286

KEYWORD

nonn

AUTHOR

Sameen Ahmed Khan, Jul 05 2013

STATUS

approved