Status of a search for Wilson primes
Primes p satisfying the equation (p - 1)! = -1 + Bp (mod p2) with |B| <= 100 are called near-Wilson primes. This page records a search for near-Wilson primes performed using a program developed by Robert Gerbicz. Reservations are currently done in this thread at mersenneforum.org.
Ranges reserved or checked
| From | To | Checked by | Status | Date |
|---|---|---|---|---|
| 6e9 | 10e9 | Robert Gerbicz | done | 1.9.2011 |
| 10e9 | 50e9 | MrRepunit | done | 12.9.2011 |
| 50e9 | 60e9 | fivemack | done | 11.9.2011 |
| 60e9 | 70e9 | Tapio Rajala | done | 18.9.2011 |
| 70e9 | 80e9 | Jeff Gilchrist | done | 10.9.2011 |
| 80e9 | 100e9 | Jeff Gilchrist | done | 13.9.2011 |
| 100e9 | 113e9 | fivemack | done | 11.9.2011 |
| 113e9 | 120e9 | Jeff Gilchrist | done | 16.9.2011 |
| 120e9 | 144e9 | fivemack | done | 13.9.2011 |
| 144e9 | 160e9 | Jeff Gilchrist | done | 17.9.2011 |
| 160e9 | 200e9 | MrRepunit | done | 22.9.2011 |
| 200e9 | 250e9 | Jeff Gilchrist | done | 2.10.2011 |
| 250e9 | 270e9 | Tapio Rajala | done | 3.10.2011 |
| 270e9 | 300e9 | Jeff Gilchrist | done | 2.10.2011 |
| 300e9 | 340e9 | MrRepunit | done | 8.10.2011 |
| 340e9 | 350e9 | MrRepunit | done | 12.10.2011 |
| 350e9 | 360e9 | MrRepunit | done | 16.10.2011 |
| 360e9 | 400e9 | MrRepunit | done | 31.10.2011 |
| 400e9 | 2^61 | (free) | ||
List of known near-Wilson primes greater than 106
| p | B |
|---|---|
| 1282279 | +20 |
| 1306817 | -30 |
| 1308491 | -55 |
| 1433813 | -32 |
| 1638347 | -45 |
| 1640147 | -88 |
| 1647931 | +14 |
| 1666403 | +99 |
| 1750901 | +34 |
| 1851953 | -50 |
| 2031053 | -18 |
| 2278343 | +21 |
| 2313083 | +15 |
| 2695933 | -73 |
| 3640753 | +69 |
| 3677071 | -32 |
| 3764437 | -99 |
| 3958621 | +75 |
| 5062469 | +39 |
| 5063803 | +40 |
| 6331519 | +91 |
| 6706067 | +45 |
| 7392257 | +40 |
| 8315831 | +3 |
| 8871167 | -85 |
| 9278443 | -75 |
| 9615329 | +27 |
| 9756727 | +23 |
| 10746881 | -7 |
| 11465149 | -62 |
| 11512541 | -26 |
| 11892977 | -7 |
| 12632117 | -27 |
| 12893203 | -53 |
| 14296621 | +2 |
| 16711069 | +95 |
| 16738091 | +58 |
| 17879887 | +63 |
| 19344553 | -93 |
| 19365641 | +75 |
| 20951477 | +25 |
| 20972977 | +58 |
| 21561013 | -90 |
| 23818681 | +23 |
| 27783521 | -51 |
| 27812887 | +21 |
| 29085907 | +9 |
| 29327513 | +13 |
| 30959321 | +24 |
| 33187157 | +60 |
| 33968041 | +12 |
| 39198017 | -7 |
| 45920923 | -63 |
| 51802061 | +4 |
| 53188379 | -54 |
| 56151923 | -1 |
| 57526411 | -66 |
| 64197799 | +13 |
| 72818227 | -27 |
| 87467099 | -2 |
| 91926437 | -32 |
| 92191909 | +94 |
| 93445061 | -30 |
| 93559087 | -3 |
| 94510219 | -69 |
| 101710369 | -70 |
| 111310567 | +22 |
| 117385529 | -43 |
| 176779259 | +56 |
| 212911781 | -92 |
| 216331463 | -36 |
| 253512533 | +25 |
| 282361201 | +24 |
| 327357841 | -62 |
| 411237857 | -84 |
| 479163953 | -50 |
| 757362197 | -28 |
| 824846833 | +60 |
| 866006431 | -81 |
| 1227886151 | -51 |
| 1527857939 | -19 |
| 1636804231 | +64 |
| 1686290297 | +18 |
| 1767839071 | +8 |
| 1913042311 | -65 |
| 1987272877 | +5 |
| 2100839597 | -34 |
| 2312420701 | -78 |
| 2476913683 | +94 |
| 3542985241 | -74 |
| 4036677373 | -5 |
| 4271431471 | +83 |
| 4296847931 | +41 |
| 5087988391 | +51 |
| 5127702389 | +50 |
| 7973760941 | +76 |
| 9965682053 | -18 |
| 10242692519 | -97 |
| 11355061259 | -45 |
| 11774118061 | -1 |
| 12896325149 | +86 |
| 13286279999 | +52 |
| 20042556601 | +27 |
| 21950810731 | +93 |
| 23607097193 | +97 |
| 24664241321 | +46 |
| 28737804211 | -58 |
| 35525054743 | +26 |
| 41659815553 | +55 |
| 42647052491 | +10 |
| 44034466379 | +39 |
| 60373446719 | -48 |
| 64643245189 | -21 |
| 66966581777 | +91 |
| 67133912011 | +9 |
| 80248324571 | +46 |
| 80908082573 | -20 |
| 100660783343 | +87 |
| 112825721339 | +70 |
| 231939720421 | +41 |
| 258818504023 | +4 |
| 260584487287 | -52 |
| 265784418461 | -78 |
| 298114694431 | +82 |
- last update 31.10.2011 -