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 A124900 Largest order of any solvable transitive Galois group for an irreducible polynomial of degree n. 3
 1, 2, 6, 24, 20, 72, 42, 1152, 1296, 800, 110, 82944, 156, 3528, 155520, 7962624, 272, 2239488, 342, 159252480, 11757312, 225280, 506, 13759414272, 64000000, 1277952, 13060694016, 192631799808, 812, 48372940800 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS These transitive groups are in classification of MAGMA: a(1)=1T1,a(2)=2T1,a(3)=3T2,a(4)=4T5,a(5)=5T3,a(6)=6T13, a(7)=7T4,a(8)=8T47,a(9)=9T31,a(10)=10T33,a(11)=11T4, a(12)=12T294,a(13)=13T6,a(14)=14T45,a(15)=15T87, a(16)=16T1947,a(17)=17T5,a(18)=18T945,a(19)=19T6, a(20)=20T1067,a(21)=21T142,a(22)=22T37,a(23)=23T5, a(24)=24T24921,a(25)=25T179,a(26)=26T79,a(27)=27T2372, a(28)=28T1773,a(29)=29T6,a(30)=30T5358. Conjecture: The sequence a(prime(n)), which begins 2, 6, 20, 42, 110, 156, 272, 342, 506, 812, increases without bound. It appears that a(prime(n)) may equal prime(n)(prime(n)-1), which is A036689. - Artur Jasinski, Feb 26 2011 LINKS Table of n, a(n) for n=1..30. EXAMPLE a(9)=1296 because solvable Galois group T9_31 (in MAGMA's list) has order 1296 CROSSREFS Cf. A099732, A124901, A186772. Sequence in context: A363962 A319544 A354833 * A068819 A060068 A099732 Adjacent sequences: A124897 A124898 A124899 * A124901 A124902 A124903 KEYWORD nonn AUTHOR Artur Jasinski, Nov 12 2006 EXTENSIONS a(11)-a(30) from Artur Jasinski, Feb 26 2011 STATUS approved

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Last modified June 22 03:16 EDT 2024. Contains 373561 sequences. (Running on oeis4.)