Documentation

HexConway.PrimitiveProofs.S1_0

C(2, 15) has a generator of order 32767.

C(2, 11) has a generator of order 2047.

C(2, 13) has a generator of order 8191.

theorem Hex.Conway.primitive_281_4 :
Primitive 281 4 supportedEntry_281_4 [2, 3, 5, 7, 13, 47, 3037] [5, 1, 1, 1, 1, 1, 1]

C(281, 4) has a generator of order 6234839520.

theorem Hex.Conway.primitive_191_4 :
Primitive 191 4 supportedEntry_191_4 [2, 3, 5, 17, 19, 29, 37] [8, 1, 1, 1, 1, 1, 1]

C(191, 4) has a generator of order 1330863360.

theorem Hex.Conway.primitive_263_4 :
Primitive 263 4 supportedEntry_263_4 [2, 3, 5, 11, 131, 6917] [5, 1, 1, 1, 1, 1]

C(263, 4) has a generator of order 4784350560.

theorem Hex.Conway.primitive_83_4 :
Primitive 83 4 supportedEntry_83_4 [2, 3, 5, 7, 13, 41, 53] [4, 1, 1, 1, 1, 1, 1]

C(83, 4) has a generator of order 47458320.

theorem Hex.Conway.primitive_137_4 :
Primitive 137 4 supportedEntry_137_4 [2, 3, 5, 17, 23, 1877] [5, 1, 1, 1, 1, 1]

C(137, 4) has a generator of order 352275360.

C(167, 4) has a generator of order 777796320.

C(223, 4) has a generator of order 2472973440.

C(251, 4) has a generator of order 3969126000.

C(67, 4) has a generator of order 20151120.

C(109, 4) has a generator of order 141158160.

C(163, 4) has a generator of order 705911760.

C(47, 4) has a generator of order 4879680.

C(101, 4) has a generator of order 104060400.

C(37, 4) has a generator of order 1874160.

C(61, 4) has a generator of order 13845840.

theorem Hex.Conway.primitive_547_3 :
Primitive 547 3 supportedEntry_547_3 [2, 3, 7, 13, 163, 613] [1, 2, 1, 1, 1, 1]

C(547, 3) has a generator of order 163667322.

C(811, 3) has a generator of order 533411730.

theorem Hex.Conway.primitive_947_3 :
Primitive 947 3 supportedEntry_947_3 [2, 7, 11, 43, 277, 463] [1, 1, 1, 1, 1, 1]

C(947, 3) has a generator of order 849278122.

C(23, 4) has a generator of order 279840.

C(11, 5) has a generator of order 161050.

C(373, 3) has a generator of order 51895116.