

A100419


Numbers n such that 30*n+{1,7,13,17,19,23,29} are all prime.


2



89, 6627, 18674, 223949, 229269, 240007, 267356, 606681, 638454, 771496, 951060, 1068030, 1150693, 1254839, 1688923, 1920084, 2413577, 2433289, 2649414, 3053398, 3080572, 3337444, 3586658, 3604256, 3830335, 4137166
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,1


COMMENTS

Values are 5 mod 7.


LINKS

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


MATHEMATICA

Select[Range[42*10^5], AllTrue[30#+{1, 7, 13, 17, 19, 23, 29}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Mar 10 2018 *)


PROG

(MAGMA) [ n: n in [5..70000000 by 7]  forall{ q: q in [1, 7, 13, 17, 19, 23, 29]  IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011


CROSSREFS

Cf. A005776, A007775, A076205, A100418, A100420A100423.
Sequence in context: A017752 A282478 A264323 * A328355 A264135 A264020
Adjacent sequences: A100416 A100417 A100418 * A100420 A100421 A100422


KEYWORD

easy,nonn


AUTHOR

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


EXTENSIONS

Edited by Don Reble, Nov 17 2005


STATUS

approved



