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

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