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 A216480 Primitive non-solvable numbers: orders of non-solvable groups such that all groups with order a proper divisor of that order are solvable. 1
 60, 168, 504, 1092, 2448, 5616, 6072, 9828, 25308, 28224, 32736, 39732, 51888, 74412, 150348, 194472, 285852, 456288, 546312, 612468, 721392, 1024128, 1285608, 1934868, 2097024, 2165292, 2328648, 2588772, 3594432, 3822588, 5544672, 5848428, 6324552, 7174332, 8487168, 9095592 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Primitive elements of A056866; consequently, each term is divisible by 4 and either 3 or 5. That is, numbers n such that n is in A056866, but no smaller m dividing n is in A056866. - Charles R Greathouse IV, May 09 2018 LINKS Charles R Greathouse IV, Table of n, a(n) for n = 1..10000 FORMULA a(n) ~ kn^3 log^3 n, where k = 27/8. - Charles R Greathouse IV, Sep 11 2012 PROG (PARI) list(lim)={     my(v=List([5616]), t);     forprime(p=2, log(lim)\log(8)+2,         listput(v, (4^p-1)<1 && p%5<4, listput(v, p^2\2*p))     );     vecsort(select(n->n<=lim, Vec(v))) }; CROSSREFS Cf. A056866. Sequence in context: A330584 A330586 A119630 * A257146 A291549 A259946 Adjacent sequences:  A216477 A216478 A216479 * A216481 A216482 A216483 KEYWORD nonn,nice AUTHOR Charles R Greathouse IV, Sep 11 2012 STATUS approved

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Last modified September 18 06:05 EDT 2020. Contains 337166 sequences. (Running on oeis4.)