A100423 Numbers n such that 30*n+{1,7,11,13,17,19,29} are all prime.

62, 188, 9491, 31982, 38226, 38520, 89459, 168237, 175125, 368248, 471078, 634892, 704416, 803102, 994748, 1436315, 1488857, 1605484, 1842553, 1945824, 2282958, 2465266, 2620715, 2627029, 2705037, 4282305, 5569899, 5914824

Offset

1,1

Comments

Values are 6 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..28.

Mathematica

Select[Range[6*10^6], AllTrue[30#+{1, 7, 11, 13, 17, 19, 29}, PrimeQ]&] (* Requires Mathematica version 10 or later *) (* Harvey P. Dale, Mar 21 2021 *)

Prog

(Magma) [ n: n in [0..6000000] | forall{ q: q in [1, 7, 11, 13, 17, 19, 29] | IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011

Crossrefs

Cf. A005776, A007775, A076205, A100418-A100422.

Sequence in context: A045289 A045274 A045175 * A230007 A318561 A234490

Adjacent sequences: A100420 A100421 A100422 * A100424 A100425 A100426

Keyword

easy,nonn

Author

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

Extensions

Edited by Don Reble, Nov 17 2005

Status

approved