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A100422 Numbers n such that 30*n+{1,7,11,13,17,23,29} are all prime. 2
1, 53887, 114731, 123306, 139742, 210554, 471745, 480859, 619039, 630862, 858929, 1075873, 1306614, 1714945, 1913514, 2767458, 3014285, 3454137, 3518243, 3699151, 3864512, 3874291, 4274376, 4862362, 4878329, 4937822 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Values are 1 mod 7.

LINKS

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

MAPLE

a:= proc(n) option remember;

      local m;

      if n=1 then 1

      else for m from 30*(a(n-1)+7) by 210

           while not (isprime (m+1) and isprime (m+7) and

                 isprime (m+11) and isprime (m+13) and

                 isprime (m+17) and isprime (m+23) and

                 isprime (m+29))

           do od; m/30

        fi

    end:

seq (a(n), n=1..10);

MATHEMATICA

Select[Range[5000000], And@@PrimeQ/@(30(#)+{1, 7, 11, 13, 17, 23, 29})&]  (* Harvey P. Dale, Feb 23 2011 *)

PROG

(MAGMA) [ n: n in [0..5000000] | forall{ q: q in [1, 7, 11, 13, 17, 23, 29] | IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 23 2011

CROSSREFS

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

Sequence in context: A252035 A099231 A237547 * A099010 A164723 A164720

Adjacent sequences:  A100419 A100420 A100421 * A100423 A100424 A100425

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 December 14 19:27 EST 2019. Contains 329987 sequences. (Running on oeis4.)