A100420 - OEIS

A100420

Numbers n such that 30*n+{1,7,11,17,19,23,29} are all prime.

22621, 103205, 149125, 237794, 288467, 321451, 364921, 373370, 404002, 851099, 985933, 1106235, 1594044, 1696874, 1780265, 1824421, 1851756, 2249881, 3112939, 3257538, 3397608, 3601651, 3747356, 4347340, 4710990, 4886284

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OFFSET

1,1

COMMENTS

Values are 4 mod 7.

In each case, the 7 primes are necessarily consecutive. See the comment in A100418. - Peter Munn, Sep 06 2023

LINKS

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

MATHEMATICA

Select[Range[5000000], And@@PrimeQ[30 #+{1, 7, 11, 17, 19, 23, 29}]&] (* Harvey P. Dale, Mar 06 2011 *)

PROG

(Magma) [ n: n in [4..70000000 by 7] | forall{ q: q in [1, 7, 11, 17, 19, 23, 29] | IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011

CROSSREFS

Cf. A005776, A007775, A076205, A100418, A100419, A100421-A100423.

Sequence in context: A153770 A235067 A233856 * A271444 A335397 A251789

Adjacent sequences: A100417 A100418 A100419 * A100421 A100422 A100423

KEYWORD

easy,nonn

AUTHOR

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

EXTENSIONS

Edited by Don Reble, Nov 17 2005

STATUS

approved