|
|
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.
|
|
LINKS
|
|
|
FORMULA
|
|
|
PROG
|
(PARI) list(lim)={
my(v=List([5616]), t);
forprime(p=2, log(lim)\log(8)+2,
listput(v, (4^p-1)<<p)
);
forprime(p=3, log(2*lim)\log(27)+2,
listput(v, 3^p*(9^p\2))
);
forprime(p=3, log(lim)\log(32)+2,
listput(v, (4^p-1)*(2^p-1)<<(2*p))
);
forprime(p=7, sqrtn(2*lim, 3)+1,
if(p%5>1 && p%5<4, listput(v, p^2\2*p))
);
vecsort(select(n->n<=lim, Vec(v)))
};
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,nice
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|