A124901 Smallest order of any nonsolvable transitive Galois group for a polynomial of degree n.

60, 60, 168, 168, 504, 60, 660, 60, 5616, 168, 60, 336, 4080, 180, 60822550204416000, 60, 168, 1320, 10200960, 120, 300, 5616, 1512, 168, 4420880996869850977271808000000, 60

Offset

5,1

Comments

These transitive groups are in MAGMA classification respectively:

a(5)=5T4, a(6)=6T12, a(7)=7T5, a(8)=8T37, a(9)=9T27,

a(10)=10T6, a(11)=11T5, a(12)=12T33, a(13)=13T7, a(14)=14T10,

a(15)=15T5, a(16)=16T713, a(17)=17T6, a(18)=18T90, a(19)=19T7,

a(20)=20T15, a(21)=21T14, a(22)=22T13, a(23)=23T4,

a(24)=24T201, a(25)=25T29, a(26)=26T39, a(27)=27T390,

a(28)=28T32, a(29)=28T7, a(30)=30T9.

Links

Table of n, a(n) for n=5..30.

Example

a(8)=336 because nonsolvable Galois group PGL(2,7)=L(8) has order 336.

Crossrefs

Cf. A124900, A186772.

Sequence in context: A283531 A051713 A060225 * A298688 A247437 A266916

Adjacent sequences: A124898 A124899 A124900 * A124902 A124903 A124904

Keyword

nonn

Author

Artur Jasinski, Nov 12 2006

Extensions

a(4) corrected and a(11)-a(30) by Artur Jasinski, Feb 26 2011

Status

approved