A076205 Numbers n such that 30*n+{1,7,11,13,17,19,23,29} are all composite.

360, 523, 654, 941, 1020, 1047, 1064, 1136, 1188, 1213, 1264, 1280, 1343, 1355, 1445, 1477, 1515, 1526, 1530, 1533, 1582, 1623, 1652, 1693, 1842, 1900, 1960, 2018, 2039, 2129, 2208, 2280, 2309, 2332, 2406, 2413, 2440, 2499, 2539, 2622, 2633, 2650, 2657

Offset

1,1

References

H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 141.

Links

Klaus Brockhaus, Table of n, a(n) for n = 1..6829 (terms < 100000)

Mathematica

Select[Range[3000], AllTrue[30#+{1, 7, 11, 13, 17, 19, 23, 29}, CompositeQ]&] (* Harvey P. Dale, Jan 06 2022 *)

Prog

(PARI) {cav(mx)= local(wp=[1, 7, 11, 13, 17, 19, 23, 29], v=[], i, j, m); for(k=1, mx, i=k*30; j=1; m=1; while(m&&(j<9), m=!isprime(i+wp[j]); j+=1); if(m, v=concat(v, k))); return(v)}
(Magma) [ n: n in [0..3000] | forall{ q: q in [1, 7, 11, 13, 17, 19, 23, 29] | not IsPrime(30*n+q) } ]; // Klaus Brockhaus, Feb 24 2011

Crossrefs

Cf. A005776, A007775, A100418-A100423.

Sequence in context: A072414 A163569 A063067 * A048978 A056502 A056492

Adjacent sequences: A076202 A076203 A076204 * A076206 A076207 A076208

Keyword

easy,nonn

Author

Donald S. McDonald, Nov 02 2002

Extensions

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

Edited by Don Reble, Nov 17 2005

Edited by N. J. A. Sloane, Sep 14 2008 at the suggestion of R. J. Mathar

Status

approved