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A100423 Numbers n such that 30*n+{1,7,11,13,17,19,29} are all prime. 7
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 (list; graph; refs; listen; history; text; internal format)
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
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
Sequence in context: A045289 A045274 A045175 * A230007 A318561 A234490
KEYWORD
easy,nonn
AUTHOR
Ferenc Adorjan (fadorjan(AT)freemail.hu), Nov 19 2004
EXTENSIONS
Edited by Don Reble, Nov 17 2005
STATUS
approved

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Last modified July 20 06:45 EDT 2024. Contains 374441 sequences. (Running on oeis4.)