A064899 Numbers that are of the form pq where p and q are distinct primes that are the orders of non-Abelian groups.

6, 10, 14, 21, 22, 26, 34, 38, 39, 46, 55, 57, 58, 62, 74, 82, 86, 93, 94, 106, 111, 118, 122, 129, 134, 142, 146, 155, 158, 166, 178, 183, 194, 201, 202, 203, 205, 206, 214, 218, 219, 226, 237, 253, 254, 262, 274, 278, 291, 298, 301, 302, 305, 309, 314, 326

Offset: 1

Author

Patrick De Geest, Oct 13 2001

Keywords

• nonn

Links

• T. D. Noe, Table of n, a(n) for n = 1..1000
• Index entries for sequences related to groups

Crossrefs

This is the intersection of sequences A060652 and A006881.

Cf. A001358, A064900-A064911.

Programs

PARI

is(n)=my(f=factor(n)); f[,2]==[1,1]~ && f[2,1]%f[1,1]==1 \\ Charles R Greathouse IV, Oct 22 2015

PARI

list(lim)=my(v=List()); forprime(q=3,lim\2,forprime(p=2,min(lim\q,q-1), if(q%p==1, listput(v,p*q)))); Set(v) \\ Charles R Greathouse IV, Oct 22 2015

Extensions

Definition corrected by Franklin T. Adams-Watters, Oct 09 2006