

A100421


Numbers n such that 30*n+{1,7,11,13,19,23,29} are all prime.


1



2, 79, 391701, 505017, 740413, 787187, 933025, 1169863, 1333719, 1406792, 2212261, 2719950, 2962738, 3125992, 3284955, 3384586, 3727271, 3821295, 3861881, 4320864, 4439878, 4764356, 5014865, 5480190, 5879274, 6124442
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OFFSET

1,1


COMMENTS

Values are 2 mod 7.


LINKS

Table of n, a(n) for n=1..26.


MATHEMATICA

Select[Range[7*10^6], AllTrue[30#+{1, 7, 11, 13, 19, 23, 29}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, May 16 2016 *)


PROG

(MAGMA) [ n: n in [2..70000000 by 7]  forall{ q: q in [1, 7, 11, 13, 19, 23, 29]  IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011


CROSSREFS

Cf. A005776, A007775, A076205, A100418A100420, A100422, A100423.
Sequence in context: A113152 A265585 A060051 * A319438 A195000 A073499
Adjacent sequences: A100418 A100419 A100420 * A100422 A100423 A100424


KEYWORD

easy,nonn


AUTHOR

Ferenc Adorjan (fadorjan(AT)freemail.hu), Nov 19 2004


EXTENSIONS

Edited by Don Reble, Nov 17 2005


STATUS

approved



