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 A100418 Numbers n such that 30*n+{1,11,13,17,19,23,29} are all prime. 6
 49, 34083, 41545, 48713, 140609, 524027, 616812, 855281, 1314397, 1324750, 1636152, 2281293, 2927134, 3401412, 3605413, 4989341, 5212221, 5284979, 5406303, 5645269, 6141254, 6342728, 7231434, 7347697, 7637329, 8027068 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Values are 0 mod 7. LINKS MATHEMATICA Select[Range[803*10^4], AllTrue[30#+{1, 11, 13, 17, 19, 23, 29}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jun 11 2019 *) PROG (PARI) {pav7(mx)= local(wp=[1, 11, 13, 17, 19, 23, 29], v=[], i, j, m); for(k=1, mx, i=k*30; j=1; m=1; while(m&&(j<8), m=isprime(i+wp[j]); j+=1); if(m, v=concat(v, k))); return(v)} (MAGMA) [ n: n in [0..70000000 by 7] | forall{ q: q in [1, 11, 13, 17, 19, 23, 29] | IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011 CROSSREFS Cf. A005776, A007775, A076205, A100419-A100423. Sequence in context: A319941 A210819 A173171 * A239169 A134725 A203499 Adjacent sequences:  A100415 A100416 A100417 * A100419 A100420 A100421 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 January 18 13:55 EST 2020. Contains 331010 sequences. (Running on oeis4.)