| STUDIO KAMADA | English text only. |
| Records | 2008-07-26(Sat) 17:36 |
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Large numbers which have 170 digits at least and were factored by SNFS.
| digits | composite number | prime factors | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 205 | P100 · P106 | (4·10207-1)/3 | Jul 19, 2008 | Serge Batalov | |
| 2 | 201 | P77 · P125 | (79·10200-7)/9 | Dec 25, 2006 | Alexander Mkrtychyan | |
| 3 | 200 | P84 · P116 | 6·10200+1 | Jul 4, 2008 | Serge Batalov | |
| 4 | 197 | P67 · P131 | 6·10196+1 | Jul 21, 2008 | Wataru Sakai | |
| 5 | 196 | P56 · P140 | (5·10195+7)/3 | May 17, 2008 | Sinkiti Sibata | |
| 6 | 195 | P76 · P120 | 5·10194-1 | Sep 20, 2007 | Sinkiti Sibata | |
| 7 | 193 | P52 · P141 | 10360+1 | Jul 4, 2005 | Tomoya Adachi | |
| 8 | 192 | P89 · P104 | (4·10192-13)/9 | Feb 19, 2008 | Jo Yeong Uk | |
| 9 | 192 | P51 · P141 | (2·10192-11)/9 | Jan 30, 2007 | Wataru Sakai | |
| 10 | 192 | P51 · P141 | (13·10191+41)/9 | Jul 15, 2008 | Jo Yeong Uk | |
| 11 | 191 | P41 · P150 | (14·10190-41)/9 | Aug 5, 2007 | Sinkiti Sibata | |
| 12 | 191 | P83 · P108 | (10192+53)/9 | May 18, 2008 | Wataru Sakai | |
| 13 | 190 | P89 · P101 | (4·10190-31)/9 | Nov 2, 2007 | Jo Yeong Uk | |
| 14 | 189 | P47 · P51 · P93 | (31·10189-13)/9 | Jul 26, 2008 | Wataru Sakai | |
| 15 | 189 | P77 · P112 | (4·10189-7)/3 | Jun 16, 2006 | Alexander Mkrtychyan | |
| 16 | 188 | P37 · P67 · P86 | 5·10190-7 | Jul 25, 2008 | Kenji Ibusuki | |
| 17 | 188 | P89 · P100 | (4·10188-31)/9 | Oct 17, 2007 | Jo Yeong Uk | |
| 18 | 187 | P59 · P129 | 8·10186-7 | Dec 7, 2007 | Jo Yeong Uk | |
| 19 | 187 | P77 · P111 | (32·10186-23)/9 | Jul 7, 2007 | Sinkiti Sibata | |
| 20 | 186 | P53 · P133 | (10186+71)/9 | Jun 16, 2006 | Alexander Mkrtychyan | |
| 21 | 186 | P48 · P138 | 2·10186-3 | Apr 29, 2008 | matsui | |
| 22 | 185 | P44 · P142 | (7·10185-43)/9 | May 28, 2005 | Greg Childers | |
| 23 | 185 | P40 · P43 · P43 · P61 | (46·10186-1)/9 | Jan 12, 2008 | Sinkiti Sibata | |
| 24 | 185 | P62 · P124 | 3·10184-1 | Sep 12, 2007 | Jo Yeong Uk | |
| 25 | 185 | P45 · P66 · P75 | (13·10184+23)/9 | Mar 28, 2008 | Robert Backstrom | |
| 26 | 184 | P68 · P117 | 4·10185+3 | Nov 21, 2007 | Sinkiti Sibata | |
| 27 | 184 | P45 · P139 | (88·10186-7)/9 | May 31, 2008 | Wataru Sakai | |
| 28 | 184 | P67 · P117 | 10184+3 | Apr 23, 2008 | Robert Backstrom | |
| 29 | 184 | P88 · P96 | (82·10185-1)/9 | Jun 15, 2008 | Robert Backstrom | |
| 30 | 184 | P42 · P60 · P82 | (28·10184+17)/9 | Apr 30, 2008 | Robert Backstrom | |
| 31 | 183 | P59 · P62 · P63 | 10183-9 | Oct 9, 2006 | Wataru Sakai | |
| 32 | 183 | P82 · P102 | (17·10185-53)/9 | Jun 3, 2008 | Robert Backstrom | |
| 33 | 183 | P48 · P48 · P87 | (86·10182+31)/9 | Sep 25, 2007 | Robert Backstrom | |
| 34 | 182 | P62 · P121 | 10182-3 | Aug 25, 2007 | Jo Yeong Uk | |
| 35 | 182 | P48 · P135 | 8·10181-7 | Nov 22, 2007 | Jo Yeong Uk | |
| 36 | 182 | P50 · P59 · P74 | (7·10181-1)/3 | Jul 27, 2007 | Jo Yeong Uk | |
| 37 | 182 | P86 · P96 | (11·10181+43)/9 | Mar 5, 2008 | Jo Yeong Uk | |
| 38 | 182 | P47 · P135 | 5·10182-3 | Sep 12, 2007 | Robert Backstrom | |
| 39 | 181 | P85 · P97 | 10183+3 | Mar 3, 2008 | Robert Backstrom | |
| 40 | 181 | P84 · P97 | (16·10181-61)/9 | Sep 9, 2007 | Robert Backstrom | |
| 41 | 181 | P41 · P140 | (2·10184-17)/3 | Mar 3, 2008 | Robert Backstrom | |
| 42 | 181 | P81 · P100 | (52·10181-7)/9 | Sep 20, 2007 | Robert Backstrom | |
| 43 | 180 | P76 · P105 | 7·10182+3 | Jun 24, 2008 | Sinkiti Sibata | |
| 44 | 180 | P74 · P106 | 7·10179-3 | Aug 13, 2007 | Jo Yeong Uk | |
| 45 | 180 | P86 · P94 | 4·10180+3 | Jun 17, 2007 | Sinkiti Sibata | |
| 46 | 180 | P45 · P135 | 4·10179+9 | Dec 10, 2007 | Sinkiti Sibata | |
| 47 | 180 | P63 · P118 | 6·10183-1 | Jul 17, 2008 | Wataru Sakai | |
| 48 | 179 | P44 · P62 · P74 | 10179-3 | Jan 1, 2006 | Kenichiro Yamaguchi | |
| 49 | 179 | P71 · P109 | (55·10178-1)/9 | May 16, 2007 | Sinkiti Sibata | |
| 50 | 179 | P46 · P62 · P72 | 10185-9 | May 17, 2008 | Wataru Sakai | |
| 51 | 179 | P68 · P112 | (31·10179-13)/9 | May 17, 2008 | matsui | |
| 52 | 179 | P44 · P136 | (79·10178-7)/9 | Jul 17, 2008 | Wataru Sakai | |
| 53 | 179 | P76 · P104 | (73·10178-1)/9 | Jul 15, 2007 | Robert Backstrom | |
| 54 | 179 | P78 · P101 | (8·10178+7)/3 | Nov 12, 2007 | Jo Yeong Uk | |
| 55 | 179 | P88 · P91 | (5·10179-17)/3 | Jul 9, 2007 | Robert Backstrom | |
| 56 | 179 | P52 · P58 · P70 | (19·10179+17)/9 | Jun 20, 2008 | Wataru Sakai | |
| 57 | 178 | P54 · P55 · P70 | 3·10180+1 | Mar 2, 2008 | matsui | |
| 58 | 178 | P45 · P133 | (23·10178+1)/3 | May 27, 2008 | Sinkiti Sibata | |
| 59 | 178 | P70 · P109 | (14·10177+31)/9 | May 9, 2008 | Jo Yeong Uk | |
| 60 | 177 | P38 · P40 · P101 | (71·10176-17)/9 | Apr 16, 2007 | Sinkiti Sibata | |
| 61 | 177 | P53 · P124 | 10179+7 | Jun 9, 2007 | Alexander Mkrtychyan | |
| 62 | 177 | P42 · P136 | (4·10177+41)/9 | Jun 14, 2007 | Jo Yeong Uk | |
| 63 | 177 | P65 · P112 | (13·10176+41)/9 | Mar 24, 2008 | Jo Yeong Uk | |
| 64 | 177 | P81 · P96 | (2·10178+1)/3 | Jul 17, 2008 | Wataru Sakai | |
| 65 | 176 | P43 · P134 | (16·10175-1)/3 | Dec 15, 2004 | Greg Childers | |
| 66 | 176 | P80 · P96 | (19·10175+71)/9 | Jun 18, 2008 | Jo Yeong Uk | |
| 67 | 176 | P45 · P49 · P83 | (14·10179+31)/9 | Jul 26, 2008 | matsui | |
| 68 | 175 | P64 · P112 | 9·10174+1 | Jun 5, 2007 | Jo Yeong Uk | |
| 69 | 175 | P82 · P94 | (23·10174+1)/3 | Mar 1, 2007 | Tyler Cadigan | |
| 70 | 175 | P69 · P106 | 8·10177-7 | Apr 10, 2008 | matsui | |
| 71 | 175 | P45 · P131 | 6·10176+7 | Jun 24, 2008 | matsui | |
| 72 | 175 | P38 · P137 | (5·10174+1)/3 | May 29, 2007 | Jo Yeong Uk | |
| 73 | 175 | P76 · P99 | (25·10179-1)/3 | Mar 28, 2008 | Tyler Cadigan | |
| 74 | 174 | P52 · P122 | (4·10187-1)/3 | Dec 3, 2007 | Jo Yeong Uk | |
| 75 | 174 | P76 · P98 | (8·10175-71)/9 | Jul 6, 2008 | Wataru Sakai | |
| 76 | 174 | P66 · P108 | (7·10174-61)/9 | Jul 9, 2007 | Robert Backstrom | |
| 77 | 174 | P35 · P139 | 8·10175-3 | Mar 22, 2008 | matsui | |
| 78 | 174 | P66 · P108 | (4·10174+23)/9 | Jul 9, 2007 | Robert Backstrom | |
| 79 | 173 | P70 · P104 | (22·10173+41)/9 | Jul 22, 2008 | Sinkiti Sibata | |
| 80 | 173 | P46 · P128 | (14·10175-41)/9 | Jan 29, 2007 | Sinkiti Sibata | |
| 81 | 173 | P80 · P93 | (5·10175+1)/3 | Jun 15, 2008 | Kenji Ibusuki | |
| 82 | 173 | P81 · P93 | 8·10176+9 | Feb 24, 2008 | matsui | |
| 83 | 173 | P38 · P57 · P79 | (19·10173+17)/9 | Jun 20, 2008 | Robert Backstrom | |
| 84 | 172 | P62 · P111 | (22·10173-31)/9 | Jul 7, 2008 | Robert Backstrom | |
| 85 | 172 | P68 · P104 | (16·10173-1)/3 | Jun 21, 2007 | Robert Backstrom | |
| 86 | 172 | P48 · P125 | 6·10171+1 | Apr 22, 2007 | Jo Yeong Uk | |
| 87 | 172 | P47 · P51 · P75 | 4·10175+1 | Feb 8, 2008 | matsui | |
| 88 | 172 | P43 · P130 | (2·10172+43)/9 | Apr 1, 2007 | Robert Backstrom | |
| 89 | 172 | P79 · P93 | (13·10171+23)/9 | Mar 12, 2008 | Jo Yeong Uk | |
| 90 | 172 | P61 · P111 | (10172+53)/9 | Dec 15, 2005 | Sinkiti Sibata | |
| 91 | 171 | P50 · P57 · P65 | 7·10173+9 | Jul 1, 2008 | Robert Backstrom | |
| 92 | 171 | P80 · P92 | (13·10171-1)/3 | Jun 7, 2007 | Robert Backstrom | |
| 93 | 171 | P50 · P56 · P66 | 2·10170-7 | Aug 28, 2007 | Jo Yeong Uk | |
| 94 | 171 | P67 · P104 | (5·10170-11)/3 | Apr 14, 2008 | Jo Yeong Uk | |
| 95 | 171 | P42 · P129 | (5·10173-41)/9 | Jun 25, 2007 | Robert Backstrom | |
| 96 | 171 | P41 · P51 · P80 | (11·10172+61)/9 | Jun 2, 2008 | Robert Backstrom | |
| 97 | 170 | P64 · P107 | 8·10169-1 | Oct 24, 2005 | Makoto Kamada | |
| 98 | 170 | P77 · P94 | (5·10170+31)/9 | Nov 3, 2005 | Makoto Kamada | |
| 99 | 170 | P45 · P53 · P74 | (10175-7)/3 | Jul 9, 2008 | matsui | |
| 100 | 170 | P48 · P122 | (11·10169+43)/9 | Feb 15, 2008 | Jo Yeong Uk |
Large numbers which have 120 digits at least and were factored by GNFS.
| digits | composite number | prime factors | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 140 | P45 · P95 | 4·10200+7 | Mar 6, 2008 | Tyler Cadigan | |
| 2 | 139 | P60 · P79 | 6·10199+1 | Jul 10, 2008 | Tyler Cadigan | |
| 3 | 138 | P64 · P74 | (7·10196-43)/9 | May 9, 2008 | Wataru Sakai | |
| 4 | 135 | P49 · P86 | (4·10195-1)/3 | Nov 17, 2007 | Jo Yeong Uk | |
| 5 | 134 | P47 · P88 | 8·10190-1 | May 28, 2008 | Jo Yeong Uk | |
| 6 | 129 | P61 · P69 | 3·10191+1 | Jul 3, 2008 | matsui | |
| 7 | 127 | P39 · P89 | 8·10187-1 | Apr 24, 2008 | Jo Yeong Uk | |
| 8 | 126 | P50 · P76 | (16·10182-7)/9 | Apr 22, 2008 | Wataru Sakai | |
| 9 | 124 | P62 · P63 | 8·10197+9 | Jun 1, 2008 | Tyler Cadigan | |
| 10 | 124 | P59 · P65 | (5·10190+13)/9 | May 30, 2008 | Tyler Cadigan | |
| 11 | 123 | P59 · P65 | 3·10179-1 | Feb 16, 2008 | matsui | |
| 12 | 123 | P53 · P71 | 6·10192+7 | May 28, 2008 | Tyler Cadigan | |
| 13 | 123 | P59 · P64 | (16·10190-61)/9 | Feb 12, 2008 | Tyler Cadigan | |
| 14 | 122 | P39 · P41 · P43 | (2·10188-17)/3 | May 31, 2007 | Sinkiti Sibata | |
| 15 | 122 | P46 · P76 | (2·10178+61)/9 | Mar 12, 2008 | Robert Backstrom | |
| 16 | 122 | P51 · P71 | 5·10180-7 | Jul 11, 2008 | Sinkiti Sibata | |
| 17 | 121 | P59 · P62 | 5·10179-7 | Sep 28, 2007 | Sinkiti Sibata | |
| 18 | 120 | P44 · P77 | (71·10182-17)/9 | Jan 4, 2007 | Alexander Mkrtychyan | |
| 19 | 120 | P54 · P67 | (2·10197+7)/9 | Dec 4, 2006 | Tyler Cadigan | |
| 20 | 120 | P48 · P73 | (4·10179-1)/3 | Nov 15, 2006 | Tyler Cadigan | |
| 21 | 120 | P38 · P83 | 10187+9 | Oct 7, 2006 | Tyler Cadigan | |
| 22 | 120 | P58 · P63 | (22·10189-1)/3 | Dec 13, 2006 | Tyler Cadigan | |
| 23 | 120 | P29 · P43 · P49 | 10177+9 | Aug 11, 2007 | Sinkiti Sibata | |
| 24 | 120 | P43 · P78 | (86·10171+31)/9 | Jan 10, 2008 | Jo Yeong Uk | |
| 25 | 120 | P57 · P64 | (8·10189-71)/9 | Dec 21, 2006 | Tyler Cadigan | |
| 26 | 120 | P59 · P61 | 9·10184+1 | May 23, 2007 | Sinkiti Sibata | |
| 27 | 120 | P38 · P82 | (61·10169-7)/9 | Oct 6, 2007 | Bryan Koen |
Second largest factors which have 70 digits at least and were found by NFS.
Large factors which have 45 digits at least and were found by ECM.
| digits | prime factor | from | B1 | sigma | when | who | |
|---|---|---|---|---|---|---|---|
| 1 | 58 | (8·10141-17)/9 | 3897500 | 2735675386 | Oct 31, 2003 | Robert Backstrom | |
| 2 | 56 | 3·10166-1 | 44000000 | 3068145495 | Sep 14, 2005 | Wataru Sakai | |
| 3 | 52 | (10178+53)/9 | 11000000 | 1762451977 | Jul 18, 2008 | suberi | |
| 4 | 48 | (86·10192+31)/9 | 44000000 | 896044946 | Aug 4, 2006 | JMB | |
| 5 | 48 | 10192+9 | 11000000 | 413694509 | Oct 7, 2007 | Jo Yeong Uk | |
| 6 | 47 | (64·10215+53)/9 | 11000000 | 1048397889 | Jul 7, 2008 | Serge Batalov | |
| 7 | 47 | (22·10155+41)/9 | 3870000 | 219387156 | Jul 22, 2008 | Robert Backstrom | |
| 8 | 47 | 10196+9 | 11000000 | 2570867251 | Nov 11, 2006 | Wataru Sakai | |
| 9 | 47 | (25·10165-7)/9 | 3000000 | 1593296484 | Jul 25, 2007 | JMB | |
| 10 | 47 | (64·10234+53)/9 | 10757000 | 1312137675 | Dec 3, 2007 | Robert Backstrom | |
| 11 | 47 | (55·10165-1)/9 | 3000000 | 1761471762 | Mar 7, 2008 | Jo Yeong Uk | |
| 12 | 46 | 4·10194+1 | 11000000 | 632711195 | Jul 27, 2007 | Wataru Sakai | |
| 13 | 45 | 8·10167+3 | 1000000 | 127447873 | Jul 18, 2008 | Jo Yeong Uk | |
| 14 | 45 | (4·10189-1)/3 | 3000000 | 4103031508 | Mar 27, 2007 | suberi | |
| 15 | 45 | 5·10188+3 | 3000000 | 2524047625 | Jul 4, 2008 | suberi | |
| 16 | 45 | (64·10202+53)/9 | 11000000 | 49343718 | Jun 13, 2005 | Wataru Sakai | |
| 17 | 45 | (13·10177+41)/9 | 7318000 | 2046770327 | Apr 2, 2008 | Robert Backstrom | |
| 18 | 45 | (86·10148+31)/9 | 2728500 | 679331778 | Sep 22, 2003 | Robert Backstrom | |
| 19 | 45 | 2·10191+9 | 3000000 | 3278687019 | Nov 16, 2007 | Jo Yeong Uk | |
| 20 | 45 | (64·10215+53)/9 | 43000000 | 1801021090 | Jul 7, 2008 | Serge Batalov |
Large factor and cofactor which have 50 digits at least with the same length.
| digits | prime factor | prime cofactor | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 69 | (22·10139-1)/3 | May 5, 2005 | Greg Childers | ||
| 2 | 69 | (28·10146-1)/9 | Apr 19, 2005 | Sinkiti Sibata | ||
| 3 | 67 | (19·10163+71)/9 | Jul 13, 2008 | Robert Backstrom | ||
| 4 | 66 | (5·10159-41)/9 | Oct 8, 2007 | Jo Yeong Uk | ||
| 5 | 65 | (22·10163-13)/9 | Jul 10, 2008 | Robert Backstrom | ||
| 6 | 65 | (16·10145-43)/9 | Apr 19, 2008 | Robert Backstrom | ||
| 7 | 62 | (14·10145+13)/9 | Mar 29, 2008 | Jo Yeong Uk | ||
| 8 | 62 | 5·10126+9 | Dec 16, 2007 | Jo Yeong Uk | ||
| 9 | 62 | (22·10125-1)/3 | Oct 24, 2004 | Sander Hoogendoorn | ||
| 10 | 61 | (4·10148+41)/9 | Jan 31, 2005 | Samuel Chong | ||
| 11 | 61 | (8·10120+7)/3 | Oct 20, 2007 | Jo Yeong Uk | ||
| 12 | 60 | 5·10118-9 | Dec 4, 2007 | Jo Yeong Uk | ||
| 13 | 59 | (43·10160-7)/9 | Aug 1, 2007 | Sinkiti Sibata | ||
| 14 | 58 | (67·10143+23)/9 | Nov 17, 2004 | Greg Childers | ||
| 15 | 57 | (7·10142+11)/9 | Apr 28, 2005 | Makoto Kamada | ||
| 16 | 57 | (22·10136+23)/9 | Jul 10, 2008 | Serge Batalov | ||
| 17 | 56 | 4·10154+9 | Dec 10, 2007 | Robert Backstrom | ||
| 18 | 56 | (5·10113+7)/3 | Sep 26, 2007 | Jo Yeong Uk | ||
| 19 | 55 | (4·10143+41)/9 | Jan 21, 2005 | Samuel Chong | ||
| 20 | 55 | (5·10134-11)/3 | Apr 12, 2008 | Sinkiti Sibata | ||
| 21 | 53 | (22·10143-31)/9 | Jun 27, 2008 | Sinkiti Sibata | ||
| 22 | 53 | (4·10110-31)/9 | May 22, 2004 | Naoki Yamamoto | ||
| 23 | 52 | 8·10107+3 | Aug 9, 2007 | Robert Backstrom | ||
| 24 | 52 | (16·10144-43)/9 | Apr 17, 2008 | Robert Backstrom | ||
| 25 | 52 | (19·10163+53)/9 | Jun 3, 2008 | Jo Yeong Uk | ||
| 26 | 52 | (88·10152-7)/9 | Jun 22, 2006 | Sinkiti Sibata | ||
| 27 | 51 | (64·10122+53)/9 | Jul 2, 2003 | Robert Backstrom |
Unprovable near-repdigit PRPs which have 20000 digits at least.
| digits | PRP | when searched | who searched | |
|---|---|---|---|---|
| 1 | 53718 | (1053718-7)/3 | Oct 17, 2004 | Makoto Kamada |
| 2 | 30178 | (1030178-7)/3 | Mar 20, 2004 | Makoto Kamada |
| 3 | 26045 | 1026045-3 | Nov 2002 | Henri Lifchitz |
| 4 | 25324 | (1025324-7)/3 | Feb 7, 2004 | Makoto Kamada |
| 5 | 24549 | (1024549-7)/3 | Feb 7, 2004 | Makoto Kamada |
| 6 | 24253 | (1024253-7)/3 | Feb 7, 2004 | Makoto Kamada |
| 7 | 23365 | (1023365-7)/3 | Feb 7, 2004 | Makoto Kamada |
| 8 | 22718 | (1022718-7)/3 | Feb 6, 2004 | Makoto Kamada |
| 9 | 22094 | (61·1022093-7)/9 | Jan 6, 2008 | Maksym Voznyy |
| 10 | 21873 | 1021873-3 | Nov 2002 | Henri Lifchitz |
See Plateau and Depression Primes, maintained by Patrick De Geest.
Quasi-repdigit twin primes which have 100 digits at least.
| digits | p, p+2 | when searched | who searched | when certified | who certified | |
|---|---|---|---|---|---|---|
| 1 | 3884 | (13·103883+23)/9 (13·103883+41)/9 |
Dec 17, 2004 | Makoto Kamada | May 27, 2006 | Tyler Cadigan |
| 2 | 413 | (4·10412+11)/3 (4·10412+17)/3 |
Sep 20, 2004 | Makoto Kamada | Dec 7, 2004 | Julien Peter Benney |
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