table of Wilson quotient for
The following table gives the numerator and denominator of the Wilson quotient![]()
for , given in their lowest terms. If the denominator is 1, then is prime, but if the denominator is the same as , then is composite and the numerator is simply .
| Numerator of | Denom. | |
|---|---|---|
| 1 | 2 | 1 |
| 2 | 1 | 1 |
| 3 | 1 | 1 |
| 4 | 7 | 4 |
| 5 | 5 | 1 |
| 6 | 121 | 6 |
| 7 | 103 | 1 |
| 8 | 5041 | 8 |
| 9 | 40321 | 9 |
| 10 | 362881 | 10 |
| 11 | 329891 | 1 |
| 12 | 39916801 | 12 |
| 13 | 36846277 | 1 |
| 14 | 6227020801 | 14 |
| 15 | 87178291201 | 15 |
| 16 | 1307674368001 | 16 |
| 17 | 1230752346353 | 1 |
| 18 | 355687428096001 | 18 |
| 19 | 336967037143579 | 1 |
| 20 | 121645100408832001 | 20 |
| 21 | 2432902008176640001 | 21 |
| 22 | 51090942171709440001 | 22 |
| 23 | 48869596859895986087 | 1 |
| 24 | 25852016738884976640001 | 24 |
| 25 | 620448401733239439360001 | 25 |
| 26 | 15511210043330985984000001 | 26 |
| 27 | 403291461126605635584000001 | 27 |
| 28 | 10888869450418352160768000001 | 28 |
| 29 | 10513391193507374500051862069 | 1 |
| 30 | 8841761993739701954543616000001 | 30 |
| 31 | 8556543864909388988268015483871 | 1 |
| 32 | 8222838654177922817725562880000001 | 32 |
| 33 | 263130836933693530167218012160000001 | 33 |
| 34 | 8683317618811886495518194401280000001 | 34 |
| 35 | 295232799039604140847618609643520000001 | 35 |
| 36 | 10333147966386144929666651337523200000001 | 36 |
| 37 | 10053873697024357228864849950022572972973 | 1 |
| 38 | 13763753091226345046315979581580902400000001 | 38 |
| 39 | 523022617466601111760007224100074291200000001 | 39 |
| 40 | 20397882081197443358640281739902897356800000001 | 40 |
| Title | table of Wilson quotient for |
|---|---|
| Canonical name | TableOfWilsonQuotientFor0N41 |
| Date of creation | 2013-03-22 17:59:00 |
| Last modified on | 2013-03-22 17:59:00 |
| Owner | PrimeFan (13766) |
| Last modified by | PrimeFan (13766) |
| Numerical id | 5 |
| Author | PrimeFan (13766) |
| Entry type | Data Structure |
| Classification | msc 11A51 |
| Classification | msc 11A41 |