| 18.2.271903514215160479744.2 |
x18 - 3x16 + 8x14 - 12x12 + 11x10 - 5x8 - 2x6 + 2x4 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 2647^{2} \) |
18T883 |
Trivial
|
| 18.2.271903514215160479744.3 |
x18 - 5x16 + 11x14 - 15x12 + 19x10 - 20x8 + 14x6 - 10x4 + 5x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 2647^{2} \) |
18T883 |
Trivial
|
| 18.2.981486058210060140544.1 |
x18 - 2x16 - 3x14 + 9x12 - x10 - 4x8 - 10x6 + 11x4 + x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 151^{2} \) |
18T883 |
Trivial
|
| 18.2.5678874869175838572544.1 |
x18 + 7x16 + 19x14 + 25x12 + 16x10 + x8 - 8x6 - 3x4 + 2x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 12097^{2} \) |
18T883 |
Trivial
|
| 18.2.5678874869175838572544.2 |
x18 + 2x16 + x12 + 5x10 - 5x8 - 23x6 - 15x4 - 2x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 12097^{2} \) |
18T883 |
Trivial
|
| 18.6.5678874869175838572544.2 |
x18 - x16 - 4x14 + 6x12 - 7x10 - 9x8 + 33x6 - 24x4 + 7x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 12097^{2} \) |
18T883 |
Trivial
|
| 18.6.5678874869175838572544.3 |
x18 - 3x16 + 3x14 - 3x12 - 2x10 + 6x8 + 13x6 - 23x4 + 10x2 - 1 |
\( 2^{18}\cdot 23^{6}\cdot 12097^{2} \) |
18T883 |
Trivial
|
| 18.6.6921799028386293612544.1 |
x18 - 4x16 - x14 + 21x12 - 17x10 - 22x8 + 20x6 + 13x4 - 9x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.6.6921799028386293612544.2 |
x18 - 8x16 + 27x14 - 43x12 + 23x10 + 14x8 - 20x6 + 9x4 - x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.2.7885291964701182263296.1 |
x18 + x16 + 6x14 + 10x12 - 4x10 - 12x8 + 6x6 + 2x4 - 5x2 - 1 |
\( 2^{28}\cdot 37^{6}\cdot 107^{2} \) |
18T883 |
Trivial
|
| 18.10.63846808256261401083904.1 |
x18 - 6x17 + 9x16 + 10x15 - 44x14 + 60x13 - 44x12 - 10x11 + 78x10 - 116x9 + 78x8 - 10x7 - 44x6 + 60x5 - 44x4 + 10x3 + 9x2 - 6x + 1 |
\( 2^{18}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.120710371859494211424256.1 |
x18 - 4x16 - 5x15 + 4x14 - 7x13 + 28x12 + 20x11 - 22x10 + 79x9 - 141x8 - 13x7 + 104x6 - 65x5 - 34x4 - 10x3 + x2 + x - 1 |
\( 2^{12}\cdot 11^{2}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.2.148061607341575561805824.1 |
x18 - 6x17 + 17x16 - 24x15 + 13x14 - 12x13 + 22x12 - 10x11 - 4x10 + 62x9 - 85x8 + 74x7 + 39x6 + 38x5 - 41x4 + 12x3 + 2x2 + 10x + 1 |
\( 2^{18}\cdot 37^{8}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.6.148061607341575561805824.1 |
x18 - 2x17 + x16 - 10x15 - 7x14 + 8x13 - 16x12 + 36x11 + 44x10 + 20x9 + 9x8 + 72x7 + 145x6 - 44x5 - 73x4 - 2x3 + 2x2 - 4x - 1 |
\( 2^{18}\cdot 37^{8}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.10.180040394398004750319616.1 |
x18 + x16 - 15x14 + 56x10 - 23x8 - 57x6 + 45x4 - 6x2 - 1 |
\( 2^{18}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|
| 18.10.180040394398004750319616.2 |
x18 - 6x17 + 10x16 + 16x15 - 91x14 + 116x13 + 83x12 - 398x11 + 415x10 + 52x9 - 624x8 + 604x7 - 28x6 - 292x5 + 151x4 + 14x3 - 33x2 + 10x - 1 |
\( 2^{18}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|
| 18.6.180040394398004750319616.2 |
x18 + x16 - 15x14 - 20x12 + 40x10 + 61x8 - x6 - 27x4 - 10x2 - 1 |
\( 2^{18}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|
| 18.2.442995137816722791202816.1 |
x18 + x16 - 3x14 - 8x12 - 2x10 + 15x8 + 9x6 - 7x4 - 6x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.2.442995137816722791202816.2 |
x18 + 8x16 + 25x14 + 45x12 + 53x10 + 56x8 + 40x6 + 9x4 - 3x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.6.442995137816722791202816.2 |
x18 + x16 - x14 - 6x12 - 8x10 + 7x8 + 5x6 - x4 + 2x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.2.442995137816722791202816.3 |
x18 + x16 - 3x14 - 10x12 - 14x10 - 25x8 - 43x6 - 33x4 - 10x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.6.1004313865775629487570944.1 |
x18 - 6x17 + 5x16 + 36x15 - 78x14 - 30x13 + 212x12 - 126x11 - 188x10 + 324x9 - 182x8 - 40x7 + 246x6 - 342x5 + 340x4 - 270x3 + 147x2 - 58x + 13 |
\( 2^{20}\cdot 37^{6}\cdot 139^{4} \) |
18T883 |
Trivial
|
| 18.6.1017612610282603696881664.1 |
x18 - x16 - 2x15 - 21x14 - 8x13 - 14x12 - 4x11 + 116x10 + 214x9 + 371x8 + 368x7 + 93x6 - 52x5 - 65x4 - 38x3 + 2x2 + 6x + 1 |
\( 2^{18}\cdot 37^{6}\cdot 97^{2}\cdot 401^{2} \) |
18T883 |
Trivial
|
| 18.6.4017255463102517950283776.1 |
x18 - 4x17 + 34x15 - 72x14 - 6x13 + 312x12 - 554x11 - 84x10 + 1978x9 - 2848x8 - 624x7 + 6724x6 - 7054x5 - 1502x4 + 7100x3 - 3172x2 - 764x + 554 |
\( 2^{22}\cdot 37^{6}\cdot 139^{4} \) |
18T883 |
Trivial
|
| 18.10.4086195728400729669369856.1 |
x18 - 29x14 - 35x12 + 99x10 + 26x8 - 92x6 + 29x4 + 3x2 - 1 |
\( 2^{24}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.4086195728400729669369856.1 |
x18 + 10x16 + 29x14 + 9x12 - 65x10 - 36x8 + 50x6 + 15x4 - 11x2 - 1 |
\( 2^{24}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.10176582672220664882139136.1 |
x18 - 7x17 + 14x16 - 28x14 + 6x13 - 16x12 + 132x11 - 147x10 + 17x9 + 146x8 - 328x7 + 346x6 - 36x5 - 44x4 - 128x3 + 80x2 - 8x + 8 |
\( 2^{12}\cdot 101^{8}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.10.11522585241472304020455424.1 |
x18 - 5x16 - 13x14 + 66x12 - 2x10 - 107x8 + 23x6 + 23x4 - 4x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.14.11522585241472304020455424.1 |
x18 - 10x16 + 29x14 - 7x12 - 77x10 + 72x8 + 26x6 - 45x4 + 13x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.6.11522585241472304020455424.1 |
x18 + 7x16 - 7x14 - 82x12 - 44x10 + 213x8 + 279x6 + 83x4 - 10x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|
| 18.14.11522585241472304020455424.2 |
x18 - 8x16 + 13x14 + 29x12 - 85x10 + 30x8 + 58x6 - 51x4 + 13x2 - 1 |
\( 2^{24}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.10.246475299930868503187554304.1 |
x18 - 6x17 - x16 + 80x15 - 205x14 + 168x13 - 26x12 + 194x11 - 572x10 + 340x9 + 1033x8 - 2080x7 + 1469x6 - 1100x5 + 1105x4 - 286x3 - 294x2 + 180x - 27 |
\( 2^{18}\cdot 37^{8}\cdot 16361^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.10.261516526617646698839670784.1 |
x18 - 4x16 - 9x14 + 51x12 - 57x10 + 14x8 - 2x6 - 3x4 + 11x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.2.261516526617646698839670784.1 |
x18 + 12x16 + 57x14 + 129x12 + 119x10 - 30x8 - 134x6 - 85x4 - 19x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.261516526617646698839670784.1 |
x18 + x16 - 15x14 + 8x12 + 32x10 - 25x8 - 23x6 + 17x4 + 6x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.10.261516526617646698839670784.2 |
x18 - 3x16 + 3x14 - 30x10 + 77x8 - 65x6 + 17x4 + 2x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.2.261516526617646698839670784.2 |
x18 - 2x16 - 23x14 + 9x12 + 81x10 - 62x8 - 146x6 - 75x4 - 15x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.261516526617646698839670784.2 |
x18 - 6x16 + 7x14 + 11x12 - 29x10 + 4x8 + 40x6 + 17x4 - x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.2.261516526617646698839670784.3 |
x18 + 13x16 + 67x14 + 172x12 + 222x10 + 115x8 - 15x6 - 29x4 - 6x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.6.261516526617646698839670784.3 |
x18 - 12x16 + 43x14 - 17x12 - 223x10 + 428x8 + 148x6 - 203x4 - 75x2 - 1 |
\( 2^{30}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.10.600734618883163522798452736.1 |
x18 - 4x17 - 7x16 + 52x15 - 95x14 - 152x13 + 590x12 - 454x11 - 870x10 + 1340x9 - 517x8 + 44x7 + 93x6 - 814x5 + 1213x4 - 548x3 - 26x2 + 68x - 11 |
\( 2^{18}\cdot 97^{2}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.6.600734618883163522798452736.1 |
x18 - 2x17 + 4x16 - 22x15 + 29x14 + 64x13 - 227x12 + 170x11 + 311x10 - 826x9 + 412x8 + 162x7 - 682x6 + 558x5 + 157x4 + 738x3 - 35x2 - 20x - 1 |
\( 2^{18}\cdot 97^{2}\cdot 101^{6}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.10.606460343671093501156655104.1 |
x18 - 9x16 - 8x14 + 252x12 - 454x10 - 1506x8 + 6468x6 - 9176x4 + 5809x2 - 1369 |
\( 2^{30}\cdot 37^{8}\cdot 401^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.6.606460343671093501156655104.1 |
x18 - 7x16 - x14 + 38x12 - 492x10 + 1369x8 - 901x6 - 1369x4 + 2664x2 - 1369 |
\( 2^{30}\cdot 37^{8}\cdot 401^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.10.606460343671093501156655104.2 |
x18 - 21x16 + 175x14 - 806x12 + 2530x10 - 5823x8 + 9723x6 - 12617x4 + 7326x2 - 1369 |
\( 2^{30}\cdot 37^{8}\cdot 401^{2} \) |
18T883 |
Trivial
(GRH)
|
| 18.2.651301291022122552456904704.1 |
x18 - 6x17 + 21x16 - 64x15 + 165x14 - 308x13 + 424x12 - 466x11 + 244x10 + 400x9 - 751x8 + 1514x7 - 1219x6 + 1196x5 - 1459x4 + 1336x3 - 1658x2 + 748x - 269 |
\( 2^{18}\cdot 101^{8}\cdot 479^{2} \) |
18T883 |
Trivial
|
| 18.2.737445455454227457309147136.1 |
x18 + 6x16 - 27x14 - 257x12 - 641x10 - 736x8 - 436x6 - 133x4 - 19x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
$[2]$
|
| 18.6.737445455454227457309147136.1 |
x18 + 8x16 + 5x14 - 67x12 - 77x10 + 128x8 + 170x6 + x4 - 29x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|
| 18.2.737445455454227457309147136.2 |
x18 + 12x16 + 53x14 + 91x12 - 27x10 - 318x8 - 428x6 - 213x4 - 27x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
$[2]$
|
| 18.6.737445455454227457309147136.2 |
x18 + 2x16 - 27x14 - 37x12 + 91x10 + 152x8 + 20x6 - 51x4 - 19x2 - 1 |
\( 2^{30}\cdot 37^{6}\cdot 16361^{2} \) |
18T883 |
Trivial
|