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A206041 Values of the difference d for 7 primes in arithmetic progression with the minimal start sequence {7 + j*d}, j = 0 to 6. 8
150, 2760, 3450, 9150, 14190, 20040, 21240, 63600, 76710, 117420, 122340, 134250, 184470, 184620, 189690, 237060, 274830, 312000, 337530, 379410, 477630, 498900, 514740, 678750, 707850, 1014540, 1168530, 1180080, 1234530, 1251690, 1263480, 1523520, 1690590 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

The computations were done without any assumptions on the form of d.

All terms are multiples of 30. - Zak Seidov, Jan 07 2014

LINKS

Sameen Ahmed Khan, Table of n, a(n) for n = 1..10000

S. A. Khan, Primes in Geometric-Arithmetic Progression, arXiv preprint arXiv:1203.2083, 2012. - From N. J. A. Sloane, Sep 15 2012

EXAMPLE

d = 150 then {7, 7 + 1*150, 7 + 2*150, 7 + 3*150, 7 + 4*150, 7 + 5*150, + 7 + 6*150} = {7, 157, 307, 457, 607, 757, 907} which is 7 primes in arithmetic progression.

MATHEMATICA

a = 7; t = {}; Do[If[PrimeQ[{a, a + d, a + 2*d, a + 3*d, a + 4*d, a + 5*d, a + 6*d}] == {True, True, True, True, True, True, True}, AppendTo[t, d]], {d, 200000}]; t

CROSSREFS

Cf. A040976, A206037, A206038, A206039, A206040, A206042, A206043, A206044, A206045.

Sequence in context: A184673 A184665 A088361 * A151607 A135968 A135969

Adjacent sequences:  A206038 A206039 A206040 * A206042 A206043 A206044

KEYWORD

nonn

AUTHOR

Sameen Ahmed Khan, Feb 03 2012

STATUS

approved

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Last modified May 22 20:08 EDT 2017. Contains 286906 sequences.