Records
Table of contents
- Top 100 big SNFS factorizations
- Top 100 big GNFS factorizations
- Top 100 big prime factors
- Top 100 big prime factors found by ECM
- Nice split
- Top 100 unprovable near-repdigit PRPs
- Top 100 unprovable quasi-repdigit PRPs
- Quasi-repdigit twin primes
1. Top 100 big SNFS factorizations
| digits | value of polynomial | factorization | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 251 | 1000000000......0000000003 | c248 = P46 · P52 · P71 · P81 | 10250+3 | May 8, 2010 | RSALS, Jeff Gilchrist |
| 2 | 250 | 3999999999......9999999991 | c249 = P59 · P191 | 4·10249-9 | June 8, 2010 | matsui |
| 3 | 250 | 1599999999......9999999993 | c241 = P104 · P138 | (16·10248-7)/9 | April 23, 2010 | RSALS, Zeta-Flux |
| 4 | 248 | 6000000000......0000000001 | c247 = P47 · P200 | 6·10247+1 | June 8, 2010 | RSALS, Tom Womack |
| 5 | 248 | 2000000000......0000000009 | c243 = P61 · P182 | 2·10247+9 | June 6, 2010 | RSALS, Jeff Gilchrist |
| 6 | 248 | 1599999999......9999999993 | c243 = P112 · P132 | (16·10246-7)/9 | March 18, 2010 | RSALS, Jeff Gilchrist |
| 7 | 247 | 9999999999......9999999993 | c247 = P68 · P180 | (10247-7)/3 | June 28, 2010 | Robert Backstrom |
| 8 | 245 | 1000000000......0000000003 | c243 = P89 · P154 | 10244+3 | April 11, 2010 | RSALS, Jeff Gilchrist |
| 9 | 244 | 8999999999......9999999999 | c237 = P77 · P160 | 9·10243-1 | May 28, 2010 | RSALS, Tom Womack |
| 10 | 244 | 4800000000......0000000008 | c243 = P110 · P134 | 6·10242+1 | January 20, 2010 | Markus Tervooren |
| 11 | 243 | 3199999999......9999999986 | c241 = P65 · P66 · P111 | (16·10241-7)/9 | January 2, 2010 | Robert Backstrom |
| 12 | 239 | 1599999999......9999999993 | c230 = P107 · P123 | (16·10237-7)/9 | March 29, 2010 | RSALS, Michael Rao |
| 13 | 237 | 6999999999......9999999957 | c232 = P76 · P157 | (7·10236-43)/9 | May 13, 2012 | matsui |
| 14 | 237 | 1599999999......9999999993 | c236 = P59 · P61 · P116 | (16·10235-7)/9 | July 21, 2011 | Dmitry Domanov |
| 15 | 232 | 9999999999......9999999993 | c232 = P69 · P164 | (10232-7)/3 | March 21, 2010 | RSALS, Michael Rao |
| 16 | 232 | 8000000000......0000000007 | c232 = P59 · P83 · P92 | (8·10231+7)/3 | June 7, 2011 | Erik Branger |
| 17 | 230 | 7299999999......9999999999 | c229 = P95 · P134 | (73·10228-1)/9 | October 27, 2009 | Robert Backstrom |
| 18 | 230 | 2000000000......0000000009 | c230 = P109 · P121 | 2·10229+9 | January 21, 2010 | RSALS, Jeff Gilchrist |
| 19 | 230 | 1599999999......9999999993 | c217 = P105 · P113 | (16·10228-7)/9 | March 10, 2010 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 20 | 230 | 1000000000......0000000053 | c193 = P89 · P105 | (10229+53)/9 | February 13, 2010 | RSALS, Lionel Debroux, Joshua2 |
| 21 | 229 | 9999999999......9999999993 | c222 = P101 · P122 | (10229-7)/3 | November 19, 2009 | Robert Backstrom |
| 22 | 229 | 7999999999......9999999965 | c205 = P89 · P117 | (16·10227-7)/9 | December 3, 2009 | RSALS, Jeff Gilchrist |
| 23 | 229 | 2000000000......0000000001 | c224 = P100 · P125 | (2·10228+1)/3 | March 2, 2011 | RSALS, Carlos Pinho |
| 24 | 229 | 1000000000......0000000053 | c201 = P38 · P164 | (10228+53)/9 | March 9, 2010 | RSALS, Lionel Debroux, Greg Childers |
| 25 | 228 | 4299999999......9999999993 | c226 = P82 · P145 | (43·10226-7)/9 | February 24, 2011 | RSALS, Jeff Gilchrist |
| 26 | 228 | 4000000000......0000000001 | c224 = P58 · P167 | 4·10227+1 | February 24, 2011 | RSALS, Jeff Gilchrist |
| 27 | 228 | 1600000000......0000000001 | c180 = P72 · P109 | (64·10339-1)/9 | October 9, 2010 | Robert Backstrom |
| 28 | 228 | 1000000000......0000000053 | c168 = P67 · P102 | (10227+53)/9 | February 3, 2010 | RSALS, Jeff Gilchrist |
| 29 | 227 | 2000000000......0000000001 | c225 = P96 · P129 | (2·10226+1)/3 | February 25, 2011 | RSALS, Carlos Pinho |
| 30 | 226 | 9000000000......0000000001 | c226 = P56 · P79 · P92 | 9·10225+1 | December 20, 2011 | RSALS, Lionel Debroux |
| 31 | 226 | 8000000000......0000000024 | c224 = P50 · P85 · P89 | 10225+3 | October 12, 2009 | Robert Backstrom |
| 32 | 225 | 7899999999......9999999939 | c224 = P42 · P182 | (79·10223-61)/9 | April 29, 2012 | matsui |
| 33 | 225 | 2499999999......9999999999 | c222 = P55 · P55 · P114 | (25·10223-1)/3 | November 7, 2008 | Serge Batalov |
| 34 | 225 | 2000000000......0000000009 | c215 = P105 · P110 | 2·10224+9 | January 5, 2012 | matsui |
| 35 | 225 | 1999999999......9999999999 | c213 = P42 · P172 | 2·10224-1 | January 2, 2012 | matsui |
| 36 | 224 | 2000000000......0000000007 | c222 = P86 · P137 | (2·10223+7)/9 | March 8, 2012 | matsui |
| 37 | 223 | 7999999999......9999999695 | c220 = P74 · P147 | (16·10221-61)/9 | August 28, 2009 | Robert Backstrom |
| 38 | 223 | 2000000000......0000000175 | c211 = P63 · P72 · P76 | (8·10220+7)/3 | November 5, 2009 | Robert Backstrom |
| 39 | 223 | 1000000000......0000000017 | c222 = P51 · P51 · P120 | (10222+17)/9 | July 8, 2009 | Dmitry Domanov |
| 40 | 223 | 1000000000......0000000003 | c220 = P76 · P144 | 10222+3 | March 27, 2010 | Markus Tervooren |
| 41 | 222 | 4999999999......9999999975 | c213 = P49 · P165 | 2·10220-1 | July 18, 2009 | Robert Backstrom |
| 42 | 222 | 2000000000......0000000009 | c222 = P98 · P124 | 2·10221+9 | February 24, 2011 | Dmitry Domanov |
| 43 | 221 | 6199999999......9999999983 | c220 = P107 · P114 | (62·10219-17)/9 | March 15, 2012 | matsui |
| 44 | 221 | 1000000000......0000000017 | c209 = P52 · P75 · P83 | (10220+17)/9 | January 26, 2010 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 45 | 220 | 7999999999......9999999982 | c216 = P77 · P139 | 4·10219-9 | May 1, 2009 | Robert Backstrom |
| 46 | 219 | 3200000000......0000000008 | c211 = P57 · P154 | 4·10217+1 | April 17, 2009 | Robert Backstrom |
| 47 | 219 | 3199999999......9999999986 | c211 = P82 · P130 | (16·10217-7)/9 | November 3, 2009 | RSALS, Lionel Debroux |
| 48 | 219 | 1599999999......9999999999 | c198 = P99 · P99 | (16·10217-1)/3 | October 18, 2011 | matsui |
| 49 | 218 | 4999999999......9999999999 | c216 = P83 · P134 | 5·10217-1 | March 8, 2011 | Erik Branger |
| 50 | 218 | 3999999999......9999999991 | c218 = P54 · P165 | 4·10217-9 | June 27, 2009 | Robert Backstrom |
| 51 | 217 | 4999999999......9999999998 | c211 = P47 · P165 | (25·10215-1)/3 | August 13, 2009 | Robert Backstrom |
| 52 | 217 | 4000000000......0000000025 | c211 = P57 · P154 | (64·10321-1)/9 | April 7, 2009 | Robert Backstrom |
| 53 | 217 | 1999999999......9999999999 | c212 = P87 · P125 | 2·10216-1 | July 5, 2009 | Robert Backstrom |
| 54 | 216 | 5000000000......0000000001 | c207 = P56 · P151 | (5·10215+1)/3 | March 9, 2011 | Lionel Debroux |
| 55 | 216 | 3999999999......9999999999 | c202 = P57 · P145 | (4·10215-1)/3 | October 10, 2011 | matsui |
| 56 | 215 | 7299999999......9999999999 | c208 = P56 · P66 · P87 | (73·10213-1)/9 | June 26, 2010 | Robert Backstrom |
| 57 | 215 | 4999999999......9999999999 | c214 = P79 · P135 | 5·10214-1 | October 16, 2010 | Robert Backstrom |
| 58 | 214 | 8000000000......0000000018 | c210 = P40 · P57 · P114 | 4·10213+9 | August 3, 2009 | Robert Backstrom |
| 59 | 214 | 1600000000......0000000048 | c209 = P53 · P156 | 10212+3 | August 17, 2009 | Robert Backstrom |
| 60 | 214 | 1599999999......9999999993 | c199 = P74 · P126 | (16·10212-7)/9 | September 21, 2011 | matsui |
| 61 | 214 | 1599999999......9999999992 | c211 = P46 · P61 · P106 | 2·10212-1 | July 24, 2009 | Robert Backstrom |
| 62 | 213 | 6399999999......9999999999 | c205 = P51 · P73 · P82 | (64·10211-1)/9 | June 10, 2009 | Robert Backstrom |
| 63 | 212 | 5000000000......0000000001 | c207 = P76 · P131 | (5·10211+1)/3 | June 20, 2010 | Robert Backstrom |
| 64 | 212 | 4299999999......9999999993 | c182 = P57 · P125 | (43·10210-7)/9 | August 28, 2011 | matsui |
| 65 | 212 | 3199999999......9999999964 | c209 = P66 · P143 | 8·10210-9 | March 4, 2012 | Kenji Ibusuki |
| 66 | 212 | 1600000000......0000000001 | c196 = P84 · P113 | (64·10315-1)/9 | September 28, 2010 | Robert Backstrom |
| 67 | 212 | 1000000000......0000000053 | c207 = P60 · P148 | (10211+53)/9 | March 19, 2009 | Serge Batalov |
| 68 | 211 | 6999999999......9999999957 | c196 = P57 · P140 | (7·10210-43)/9 | September 11, 2011 | matsui |
| 69 | 211 | 2000000000......0000000005 | c208 = P100 · P108 | 4·10209+1 | February 17, 2009 | Serge Batalov |
| 70 | 211 | 1000000000......0000000017 | c202 = P53 · P150 | (10210+17)/9 | December 18, 2009 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 71 | 211 | 1000000000......0000000005 | c207 = P88 · P119 | (2·10209+1)/3 | July 27, 2009 | Robert Backstrom |
| 72 | 210 | 9999999999......9999999990 | c209 = P57 · P153 | 10209-10104-1 | September 24, 2011 | Erik Branger |
| 73 | 210 | 5999999999......9999999999 | c210 = P46 · P58 · P107 | 6·10209-1 | May 4, 2010 | Robert Backstrom |
| 74 | 210 | 4999999999......9999999999 | c210 = P77 · P133 | 5·10209-1 | March 17, 2010 | Sinkiti Sibata |
| 75 | 210 | 3999999999......9999999999 | c200 = P82 · P119 | (4·10209-1)/3 | October 10, 2010 | Robert Backstrom |
| 76 | 209 | 5599999999......9999999656 | c206 = P58 · P148 | (7·10207-43)/9 | June 16, 2009 | Robert Backstrom |
| 77 | 209 | 1000000000......0000000053 | c194 = P43 · P52 · P101 | (10208+53)/9 | September 5, 2011 | matsui |
| 78 | 209 | 1000000000......0000000017 | c190 = P81 · P109 | (10208+17)/9 | September 2, 2011 | matsui |
| 79 | 208 | 9000000000......0000000001 | c208 = P48 · P68 · P94 | 9·10207+1 | December 22, 2010 | Sinkiti Sibata |
| 80 | 208 | 8900000000......0000000001 | c202 = P70 · P133 | (89·10206+1)/9 | February 3, 2012 | matsui |
| 81 | 208 | 8000000000......0000000002 | c208 = P43 · P46 · P55 · P66 | 4·10207+1 | January 6, 2009 | Robert Backstrom |
| 82 | 208 | 7999999999......9999999998 | c205 = P100 · P106 | (4·10207-1)/3 | July 18, 2008 | Serge Batalov |
| 83 | 208 | 7999999999......9999999944 | c202 = P73 · P130 | (10207-7)/3 | December 7, 2009 | Sinkiti Sibata |
| 84 | 208 | 6999999999......9999999999 | c208 = P66 · P142 | (7·10207-1)/3 | November 28, 2010 | Erik Branger |
| 85 | 208 | 5000000000......0000000007 | c208 = P48 · P161 | (5·10207+7)/3 | February 24, 2012 | Erik Branger |
| 86 | 208 | 1000000000......0000000017 | c203 = P54 · P67 · P83 | (10207+17)/9 | March 30, 2009 | Robert Backstrom |
| 87 | 208 | 1000000000......0000000009 | c204 = P70 · P135 | 10207+9 | January 19, 2012 | matsui |
| 88 | 207 | 5500000000......0000000071 | c201 = P50 · P152 | (55·10205+71)/9 | October 1, 2009 | Wataru Sakai |
| 89 | 207 | 4999999999......9999999999 | c206 = P77 · P129 | 5·10206-1 | April 13, 2010 | Ignacio Santos |
| 90 | 207 | 4700000000......0000000070 | c204 = P56 · P149 | (47·10204+7)/9 | March 24, 2009 | Robert Backstrom |
| 91 | 207 | 4700000000......0000000061 | c201 = P41 · P43 · P118 | (47·10205+61)/9 | December 21, 2009 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 92 | 207 | 4100000000......0000003100 | c203 = P93 · P110 | (41·10203+31)/9 | February 20, 2009 | Robert Backstrom |
| 93 | 207 | 4099999999......9999999977 | c202 = P43 · P160 | (41·10205-23)/9 | October 13, 2009 | matsui |
| 94 | 207 | 3700000000......0000000170 | c205 = P102 · P103 | (37·10204+17)/9 | February 4, 2009 | Robert Backstrom |
| 95 | 207 | 3700000000......0000000017 | c206 = P53 · P75 · P79 | (37·10205+17)/9 | February 26, 2009 | Robert Backstrom |
| 96 | 207 | 3399999999......9999999939 | c201 = P76 · P125 | (34·10205-61)/9 | December 19, 2009 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 97 | 207 | 3199999999......9999999998 | c206 = P67 · P139 | (16·10205-1)/3 | November 10, 2008 | Robert Backstrom |
| 98 | 207 | 3199999999......9999999590 | c200 = P47 · P62 · P92 | (32·10204-41)/9 | December 6, 2008 | Robert Backstrom |
| 99 | 207 | 2599999999......9999999695 | c201 = P91 · P111 | (52·10204-61)/9 | December 22, 2009 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 100 | 207 | 2499999999......9999999999 | c197 = P74 · P123 | (25·10205-1)/3 | March 5, 2011 | matsui |
2. Top 100 big GNFS factorizations
| digits | value of polynomial | factorization | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 169 | 2652431486......8198368411 | c169 = P82 · P87 | 6·10273-1 | November 1, 2011 | RSALS, Serge Batalov |
| 2 | 166 | 2513417409......9800470109 | c166 = P49 · P55 · P63 | 2·10241-1 | October 27, 2011 | Markus Tervooren |
| 3 | 165 | 8067990214......4902749927 | c165 = P54 · P112 | 2·10241+9 | March 24, 2010 | RSALS, Zeta-Flux |
| 4 | 165 | 2904706016......4327601081 | c165 = P79 · P86 | 2·10247+3 | September 11, 2011 | RSALS, Dmitry Domanov |
| 5 | 164 | 4529621013......3396214751 | c164 = P60 · P104 | 8·10244-1 | February 8, 2010 | Markus Tervooren |
| 6 | 164 | 2497351276......7762654409 | c164 = P55 · P110 | (7·10297-61)/9 | March 1, 2011 | RSALS, Carlos Pinho |
| 7 | 161 | 3540306639......3666732667 | c161 = P67 · P94 | (43·10245-7)/9 | January 24, 2011 | RSALS, Zeta-Flux |
| 8 | 161 | 1769125132......8778255649 | c161 = P67 · P94 | (7·10239-1)/3 | May 22, 2011 | RSALS, Dmitry Domanov |
| 9 | 160 | 1358407343......0683072087 | c160 = P79 · P81 | 6·10242-1 | May 22, 2011 | RSALS, Dmitry Domanov |
| 10 | 156 | 5813808017......1813790511 | c156 = P58 · P99 | (73·10218-1)/9 | February 3, 2010 | JPascoa |
| 11 | 153 | 6851939528......9577856457 | c153 = P49 · P105 | 10222+9 | February 6, 2011 | Markus Tervooren |
| 12 | 153 | 2403102976......3176866797 | c153 = P41 · P55 · P57 | 9·10229-1 | November 11, 2009 | matsui |
| 13 | 151 | 2522532689......7557427037 | c151 = P70 · P82 | (7·10221-61)/9 | November 5, 2011 | Erik Branger |
| 14 | 148 | 1475381546......8537176377 | c148 = P73 · P75 | 2·10226+9 | February 28, 2010 | Markus Tervooren |
| 15 | 148 | 1322414960......9544675063 | c148 = P63 · P85 | (16·10220-61)/9 | December 24, 2008 | Serge Batalov |
| 16 | 147 | 3297222603......3434862951 | c147 = P70 · P77 | (7·10246-61)/9 | May 10, 2012 | Erik Branger |
| 17 | 146 | 8027463469......1661478111 | c146 = P56 · P91 | (64·10333-1)/9 | October 29, 2009 | matsui |
| 18 | 145 | 2323881754......3874508013 | c145 = P70 · P75 | (64·10259-1)/9 | February 2, 2011 | Erik Branger |
| 19 | 145 | 1948554812......6099504057 | c145 = P69 · P76 | (2·10212+1)/3 | December 19, 2011 | Dmitry Domanov |
| 20 | 145 | 1318053343......4956050777 | c145 = P52 · P93 | 4·10212+9 | May 12, 2009 | Markus Tervooren |
| 21 | 144 | 1932752580......4958362823 | c144 = P60 · P84 | 2·10177+3 | March 31, 2010 | Bart Jans |
| 22 | 144 | 1223347845......7853346893 | c144 = P70 · P74 | (64·10232+53)/9 | August 12, 2008 | Serge Batalov |
| 23 | 143 | 1466630999......8421415597 | c143 = P70 · P73 | 10245-9 | March 1, 2011 | Andreas Tete |
| 24 | 143 | 1264565321......5643398613 | c143 = P59 · P84 | 10215-10107-1 | December 7, 2011 | Dmitry Domanov |
| 25 | 142 | 8733638945......7310054259 | c142 = P70 · P73 | 8·10233-1 | October 20, 2009 | matsui |
| 26 | 142 | 2568939641......4872095989 | c142 = P62 · P81 | (38·10204+61)/9 | July 5, 2011 | Bryan Koen |
| 27 | 141 | 5012281568......9285997723 | c141 = P54 · P88 | (89·10219+1)/9 | November 23, 2011 | Erik Branger |
| 28 | 141 | 2255574820......4593242897 | c141 = P61 · P80 | (53·10205+1)/9 | December 10, 2010 | Markus Tervooren |
| 29 | 141 | 1817067932......4506576003 | c141 = P62 · P80 | (89·10211+1)/9 | June 23, 2011 | Bryan Koen |
| 30 | 140 | 8692778615......8409959887 | c140 = P53 · P88 | (16·10214-61)/9 | August 3, 2008 | Serge Batalov |
| 31 | 140 | 6797993542......4081957167 | c140 = P49 · P92 | 10247+9 | May 21, 2011 | Sinkiti Sibata |
| 32 | 140 | 2379827422......6764218897 | c140 = P49 · P92 | (26·10203+1)/9 | June 11, 2009 | Dmitry Domanov |
| 33 | 140 | 1713277190......3860034243 | c140 = P61 · P79 | (53·10202-71)/9 | July 3, 2010 | Sinkiti Sibata |
| 34 | 140 | 1214937757......4400899199 | c140 = P45 · P95 | 4·10200+7 | March 5, 2008 | Tyler Cadigan |
| 35 | 140 | 1125967059......0177470089 | c140 = P69 · P71 | (47·10205+7)/9 | February 22, 2011 | Nicolai Caraibendko |
| 36 | 139 | 6315011082......5769334851 | c139 = P66 · P74 | (16·10213-61)/9 | February 16, 2010 | Markus Tervooren |
| 37 | 139 | 2195790727......8313782281 | c139 = P65 · P74 | (23·10199+13)/9 | July 5, 2010 | Markus Tervooren |
| 38 | 139 | 1930124327......9497550709 | c139 = P47 · P92 | (7·10239-18·10119-7)/9 | March 7, 2012 | Dmitry Domanov |
| 39 | 139 | 1021473256......9924007723 | c139 = P60 · P79 | 6·10199+1 | July 10, 2008 | Tyler Cadigan |
| 40 | 138 | 8880878175......9297044527 | c138 = P60 · P79 | (10196+53)/9 | February 24, 2009 | Tyler Cadigan |
| 41 | 138 | 5155443999......4218334459 | c138 = P62 · P77 | 2·10200+9 | October 31, 2009 | Dmitry Domanov |
| 42 | 138 | 3795344251......4957117713 | c138 = P49 · P89 | (10198+53)/9 | July 31, 2008 | Tyler Cadigan |
| 43 | 138 | 3323394116......4641850869 | c138 = P64 · P74 | (7·10196-43)/9 | May 9, 2008 | Wataru Sakai |
| 44 | 138 | 2640380361......2564430347 | c138 = P55 · P84 | (7·10200-1)/3 | May 29, 2010 | Jo Yeong Uk |
| 45 | 138 | 1663658109......4568179273 | c138 = P66 · P73 | (89·10226+1)/9 | August 26, 2011 | Dmitry Domanov |
| 46 | 138 | 1626066195......1088438901 | c138 = P67 · P72 | (10253+45·10126-1)/9 | March 4, 2012 | Dmitry Domanov |
| 47 | 137 | 3619785747......1231445171 | c137 = P57 · P80 | (10195+45·1097-1)/9 | December 10, 2011 | Jo Yeong Uk |
| 48 | 137 | 3594130949......3713419521 | c137 = P67 · P71 | (64·10212+53)/9 | April 29, 2011 | Dmitry Domanov |
| 49 | 137 | 2802799146......9001246999 | c137 = P52 · P85 | (64·10205-1)/9 | November 27, 2009 | Erik Branger |
| 50 | 137 | 2544466089......9205259751 | c137 = P49 · P88 | (55·10199+53)/9 | June 5, 2009 | Sinkiti Sibata |
| 51 | 137 | 2395919535......9789544749 | c137 = P54 · P83 | (7·10206-61)/9 | September 12, 2011 | Erik Branger |
| 52 | 137 | 1680369990......2264261947 | c137 = P46 · P92 | (16·10202-7)/9 | August 30, 2009 | Dmitry Domanov |
| 53 | 137 | 1285064147......8358968679 | c137 = P47 · P91 | 2·10207-1 | June 16, 2009 | Andreas Tete |
| 54 | 137 | 1087942511......1683455169 | c137 = P60 · P77 | (67·10198+23)/9 | May 11, 2011 | Sinkiti Sibata |
| 55 | 136 | 9733835730......2983239361 | c136 = P54 · P83 | (55·10188+71)/9 | May 20, 2012 | Robert Backstrom |
| 56 | 136 | 8878506420......9658825733 | c136 = P56 · P81 | (23·10193-41)/9 | May 7, 2012 | Robert Backstrom |
| 57 | 136 | 8876558906......3617330037 | c136 = P61 · P76 | (7·10199-36·1099-7)/9 | March 2, 2012 | Dmitry Domanov |
| 58 | 136 | 8084753086......0122707201 | c136 = P59 · P78 | 9·10249-1 | May 29, 2009 | matsui |
| 59 | 136 | 7790204783......4975428717 | c136 = P50 · P87 | (58·10186+41)/9 | May 21, 2012 | Robert Backstrom |
| 60 | 136 | 6914555030......5884324693 | c136 = P64 · P73 | (85·10189+23)/9 | May 17, 2012 | Robert Backstrom |
| 61 | 136 | 6486227147......9358958991 | c136 = P43 · P94 | (14·10183-17)/3 | May 27, 2012 | Robert Backstrom |
| 62 | 136 | 6449863363......0027831343 | c136 = P55 · P82 | 10207-7·10103-1 | March 1, 2012 | Dmitry Domanov |
| 63 | 136 | 6005231212......0272552397 | c136 = P59 · P78 | (89·10195-71)/9 | May 5, 2012 | Robert Backstrom |
| 64 | 136 | 5629017292......8993301137 | c136 = P49 · P88 | (76·10200+41)/9 | May 2, 2012 | Robert Backstrom |
| 65 | 136 | 5497668581......6065079389 | c136 = P62 · P75 | 7·10193-9 | May 5, 2012 | Robert Backstrom |
| 66 | 136 | 4932910003......9924856103 | c136 = P65 · P71 | (5·10186-17)/3 | May 23, 2012 | Robert Backstrom |
| 67 | 136 | 4628751933......3940532871 | c136 = P52 · P85 | (47·10205+43)/9 | May 4, 2012 | Robert Backstrom |
| 68 | 136 | 4341631904......9960985351 | c136 = P53 · P84 | (22·10188+17)/3 | May 18, 2012 | Robert Backstrom |
| 69 | 136 | 4202966497......9899769749 | c136 = P62 · P75 | (34·10198-43)/9 | May 3, 2012 | Robert Backstrom |
| 70 | 136 | 4158535275......6649315069 | c136 = P67 · P69 | 10194+3 | September 26, 2009 | Tyler Cadigan |
| 71 | 136 | 3663098565......1995557481 | c136 = P62 · P75 | 10198+9 | March 15, 2010 | Sinkiti Sibata |
| 72 | 136 | 3624922632......0840544187 | c136 = P40 · P96 | (83·10184-11)/9 | May 25, 2012 | Robert Backstrom |
| 73 | 136 | 3583829222......7845456417 | c136 = P54 · P83 | (10220+11)/3 | December 21, 2011 | Dmitry Domanov |
| 74 | 136 | 3018198569......1416352379 | c136 = P56 · P80 | (10190-7)/3 | May 15, 2012 | Robert Backstrom |
| 75 | 136 | 2207841030......9126954467 | c136 = P54 · P82 | (43·10215-7)/9 | August 8, 2011 | Dmitry Domanov |
| 76 | 136 | 2198221520......7252786307 | c136 = P67 · P69 | (59·10190-41)/9 | May 10, 2012 | Robert Backstrom |
| 77 | 136 | 2169383120......2646511643 | c136 = P68 · P68 | (22·10186+23)/9 | May 23, 2012 | Robert Backstrom |
| 78 | 136 | 2068145264......2020248887 | c136 = P53 · P83 | (17·10199+7)/3 | May 3, 2012 | Robert Backstrom |
| 79 | 136 | 2020112505......8423877129 | c136 = P49 · P87 | (41·10201-23)/9 | May 3, 2011 | Sinkiti Sibata |
| 80 | 136 | 1840566292......9569746553 | c136 = P62 · P74 | (88·10182-43)/9 | May 27, 2012 | Robert Backstrom |
| 81 | 136 | 1701907069......2776106637 | c136 = P55 · P81 | (86·10187-23)/9 | May 20, 2012 | Robert Backstrom |
| 82 | 136 | 1385849343......9469074379 | c136 = P68 · P68 | 8·10192+9 | May 8, 2012 | Robert Backstrom |
| 83 | 136 | 1373123490......5773110607 | c136 = P42 · P94 | (61·10184+11)/9 | May 26, 2012 | Robert Backstrom |
| 84 | 136 | 1351894495......1840967687 | c136 = P55 · P82 | (79·10200-61)/9 | December 8, 2011 | Erik Branger |
| 85 | 136 | 1328975843......7057766927 | c136 = P43 · P93 | (53·10190-71)/9 | May 10, 2012 | Robert Backstrom |
| 86 | 136 | 1224390947......5411836521 | c136 = P46 · P90 | (7·10191+11)/9 | May 8, 2012 | Robert Backstrom |
| 87 | 136 | 1183825359......2319436037 | c136 = P65 · P71 | (89·10234+1)/9 | August 23, 2011 | Dmitry Domanov |
| 88 | 136 | 1013290485......6413033509 | c136 = P39 · P43 · P55 | 6·10184+7 | May 25, 2012 | Robert Backstrom |
| 89 | 135 | 9866737685......6531214169 | c135 = P64 · P72 | (16·10193+11)/9 | November 11, 2011 | Erik Branger |
| 90 | 135 | 8825624405......3094322497 | c135 = P58 · P77 | (14·10196-41)/9 | December 6, 2011 | Erik Branger |
| 91 | 135 | 7813605352......9627485841 | c135 = P57 · P79 | (79·10236-61)/9 | May 12, 2012 | Robert Backstrom |
| 92 | 135 | 7254593711......0913142841 | c135 = P65 · P71 | (68·10217+31)/9 | May 1, 2012 | Erik Branger |
| 93 | 135 | 6848326418......9905306087 | c135 = P65 · P71 | (7·10209-9·10104-7)/9 | February 28, 2012 | Dmitry Domanov |
| 94 | 135 | 4892410244......1307068961 | c135 = P51 · P85 | (10193+71)/9 | September 29, 2011 | Erik Branger |
| 95 | 135 | 4322816777......4754329521 | c135 = P56 · P80 | (28·10233+11)/3 | April 28, 2012 | Erik Branger |
| 96 | 135 | 4217703463......1332412531 | c135 = P59 · P77 | (64·10200+53)/9 | May 24, 2010 | Markus Tervooren |
| 97 | 135 | 4161046867......7870095129 | c135 = P62 · P73 | 9·10200+1 | August 10, 2010 | Jo Yeong Uk |
| 98 | 135 | 4005703171......0344559391 | c135 = P55 · P80 | 7·10188-9 | May 14, 2012 | Robert Backstrom |
| 99 | 135 | 4001671843......5891751137 | c135 = P67 · P68 | (5·10226+7)/3 | April 26, 2012 | Erik Branger |
| 100 | 135 | 3187731260......7897550493 | c135 = P49 · P86 | (4·10195-1)/3 | November 17, 2007 | Jo Yeong Uk |
3. Top 100 big prime factors
| digits | prime factor | factorization | from | when | who | |
|---|---|---|---|---|---|---|
| 1 | 112 | 2435468240......7549399939 | c243 = P112 · P132 | (16·10246-7)/9 | March 18, 2010 | RSALS, Jeff Gilchrist |
| 2 | 110 | 2591978136......8225740749 | c243 = P110 · P134 | 6·10242+1 | January 20, 2010 | Markus Tervooren |
| 3 | 109 | 2172841954......3893294107 | c230 = P109 · P121 | 2·10229+9 | January 21, 2010 | RSALS, Jeff Gilchrist |
| 4 | 108 | 4261719164......6159585133 | c219 = P108 · P111 | (4·10221-1)/3 | February 19, 2010 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 5 | 107 | 4523930711......5923266349 | c230 = P107 · P123 | (16·10237-7)/9 | March 29, 2010 | RSALS, Michael Rao |
| 6 | 107 | 1919140512......8931689829 | c220 = P107 · P114 | (62·10219-17)/9 | March 15, 2012 | matsui |
| 7 | 105 | 2758415571......2713984331 | c217 = P105 · P113 | (16·10228-7)/9 | March 10, 2010 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 8 | 105 | 2262725364......9626342987 | c215 = P105 · P110 | 2·10224+9 | January 5, 2012 | matsui |
| 9 | 104 | 2822060601......6899729323 | c241 = P104 · P138 | (16·10248-7)/9 | April 23, 2010 | RSALS, Zeta-Flux |
| 10 | 103 | 2121306592......3451437893 | c206 = P103 · P104 | (14·10205-11)/3 | February 22, 2009 | Wataru Sakai |
| 11 | 102 | 1533099133......7052274147 | c205 = P102 · P103 | (37·10204+17)/9 | February 4, 2009 | Robert Backstrom |
| 12 | 101 | 3295629325......3934862861 | c222 = P101 · P122 | (10229-7)/3 | November 19, 2009 | Robert Backstrom |
| 13 | 100 | 3999406295......3646862107 | c205 = P100 · P106 | (4·10207-1)/3 | July 18, 2008 | Serge Batalov |
| 14 | 100 | 3868312352......2986063797 | c208 = P100 · P108 | 4·10209+1 | February 17, 2009 | Serge Batalov |
| 15 | 100 | 1658052843......6500313297 | c224 = P100 · P125 | (2·10228+1)/3 | March 2, 2011 | RSALS, Carlos Pinho |
| 16 | 99 | 2196317029......3420749513 | c201 = P99 · P103 | (26·10200-11)/3 | November 27, 2009 | Dmitry Domanov |
| 17 | 99 | 2176655235......3233897849 | c198 = P99 · P99 | (16·10217-1)/3 | October 18, 2011 | matsui |
| 18 | 98 | 4031127684......6624161389 | c222 = P98 · P124 | 2·10221+9 | February 24, 2011 | Dmitry Domanov |
| 19 | 97 | 7280909499......6391929013 | c196 = P97 · P99 | (85·10195-13)/9 | October 10, 2010 | Wataru Sakai |
| 20 | 97 | 1671913865......0144902657 | c194 = P97 · P97 | 6·10198+1 | March 14, 2009 | matsui |
| 21 | 96 | 4245513050......4895953363 | c225 = P96 · P129 | (2·10226+1)/3 | February 25, 2011 | RSALS, Carlos Pinho |
| 22 | 96 | 2203921585......2594920421 | c197 = P96 · P102 | (2·10197+1)/3 | November 1, 2008 | Wataru Sakai |
| 23 | 96 | 1195097379......0667993821 | c195 = P96 · P100 | (25·10195-61)/9 | October 8, 2008 | Tyler Cadigan |
| 24 | 95 | 8204067446......7504824993 | c229 = P95 · P134 | (73·10228-1)/9 | October 27, 2009 | Robert Backstrom |
| 25 | 95 | 4964175152......3228625163 | c191 = P95 · P96 | (89·10198-53)/9 | October 23, 2010 | Robert Backstrom |
| 26 | 95 | 1698208635......2399568593 | c191 = P95 · P97 | (37·10193-1)/9 | August 9, 2009 | Wataru Sakai |
| 27 | 95 | 1517651084......5058979721 | c246 = P55 · P95 · P97 | 2·10245+3 | January 12, 2012 | RSALS, Greg Childers |
| 28 | 95 | 1088726943......8681010433 | c198 = P95 · P104 | 2·10202-1 | April 28, 2010 | Robert Backstrom |
| 29 | 94 | 2063094904......4175515143 | c191 = P94 · P98 | (58·10194-13)/9 | February 13, 2010 | Robert Backstrom |
| 30 | 94 | 2055683347......5514213803 | c194 = P94 · P100 | (26·10198+1)/9 | April 8, 2010 | Robert Backstrom |
| 31 | 94 | 1948662034......3891106957 | c191 = P94 · P98 | (17·10192+1)/9 | August 25, 2008 | Robert Backstrom |
| 32 | 94 | 1668400348......4806278253 | c197 = P94 · P103 | (7·10205-1)/3 | August 3, 2011 | matsui |
| 33 | 94 | 1243247962......8158559071 | c195 = P94 · P102 | (46·10201+71)/9 | August 10, 2010 | matsui |
| 34 | 93 | 5396747924......8903410781 | c186 = P93 · P93 | (71·10189+1)/9 | March 5, 2010 | Robert Backstrom |
| 35 | 93 | 4573873379......2387958219 | c203 = P93 · P110 | (41·10203+31)/9 | February 20, 2009 | Robert Backstrom |
| 36 | 93 | 3441699620......3237154389 | c189 = P93 · P96 | (65·10189+43)/9 | October 27, 2009 | Wataru Sakai |
| 37 | 93 | 2670098763......1258427823 | c190 = P93 · P97 | (88·10196-61)/9 | October 24, 2010 | Robert Backstrom |
| 38 | 93 | 2385158207......0969573597 | c192 = P93 · P99 | (83·10200+43)/9 | July 6, 2010 | matsui |
| 39 | 93 | 1821071777......6711382939 | c202 = P93 · P110 | (26·10201+7)/3 | March 3, 2012 | Erik Branger |
| 40 | 93 | 1051496914......4211525549 | c192 = P93 · P100 | (44·10196-17)/9 | March 15, 2010 | Robert Backstrom |
| 41 | 92 | 6865375800......8288695747 | c189 = P92 · P97 | (89·10190-53)/9 | October 27, 2010 | Ignacio Santos |
| 42 | 92 | 5807379598......5548359519 | c190 = P92 · P98 | (79·10197-61)/9 | November 23, 2010 | Robert Backstrom |
| 43 | 92 | 3599974652......0614292837 | c196 = P92 · P105 | (23·10195-17)/3 | February 12, 2010 | Dmitry Domanov |
| 44 | 92 | 2166070315......3951468973 | c191 = P92 · P99 | (79·10194-7)/9 | February 14, 2010 | Robert Backstrom |
| 45 | 92 | 1726865780......4754967379 | c198 = P92 · P107 | (14·10201+1)/3 | April 24, 2010 | Robert Backstrom |
| 46 | 92 | 1391929238......2082548693 | c185 = P92 · P93 | (19·10192-1)/9 | April 26, 2010 | Ignacio Santos |
| 47 | 92 | 1008482741......8612395447 | c193 = P92 · P102 | (68·10192+13)/9 | September 1, 2008 | Robert Backstrom |
| 48 | 91 | 6817234265......5873141941 | c188 = P91 · P97 | (32·10198+31)/9 | July 18, 2011 | matsui |
| 49 | 91 | 3211532119......8053426139 | c201 = P91 · P111 | (52·10204-61)/9 | December 22, 2009 | RSALS, Lionel Debroux, Jeff Gilchrist |
| 50 | 91 | 2882509691......8570293787 | c196 = P91 · P105 | (22·10198-1)/3 | May 15, 2009 | Robert Backstrom |
| 51 | 91 | 2174373058......1680431157 | c201 = P91 · P111 | (43·10200+11)/9 | August 9, 2009 | Jo Yeong Uk |
| 52 | 91 | 1935503434......7536789947 | c186 = P91 · P95 | (10201+15·10100-1)/3 | April 21, 2012 | Jo Yeong Uk |
| 53 | 90 | 9446859320......7899046421 | c181 = P90 · P91 | (22·10186+17)/3 | March 11, 2010 | Ignacio Santos |
| 54 | 90 | 8957596333......4141733847 | c188 = P90 · P99 | (83·10187+43)/9 | June 6, 2010 | Serge Batalov |
| 55 | 90 | 5711913560......2169422749 | c184 = P90 · P94 | (26·10183-17)/9 | October 29, 2008 | Jo Yeong Uk |
| 56 | 90 | 5135780043......9620842531 | c181 = P90 · P91 | (23·10188+31)/9 | October 4, 2010 | Ignacio Santos |
| 57 | 90 | 4742858954......2123750183 | c190 = P90 · P101 | (10198+11)/3 | October 1, 2010 | Markus Tervooren |
| 58 | 90 | 4100591839......8350378243 | c182 = P90 · P92 | (77·10183-41)/9 | November 4, 2010 | Ignacio Santos |
| 59 | 90 | 1997230151......4975745853 | c188 = P90 · P99 | (44·10200+1)/9 | August 1, 2010 | matsui |
| 60 | 90 | 1683461922......2903175133 | c180 = P90 · P91 | (86·10188+13)/9 | January 26, 2012 | Robert Backstrom |
| 61 | 90 | 1571993914......9578529659 | c190 = P90 · P101 | (47·10191+7)/9 | June 28, 2009 | Wataru Sakai |
| 62 | 90 | 1527845695......5255344901 | c194 = P90 · P105 | (38·10193+43)/9 | January 8, 2009 | Jo Yeong Uk |
| 63 | 90 | 1338924484......5314303009 | c196 = P90 · P107 | (77·10198+31)/9 | November 10, 2010 | Robert Backstrom |
| 64 | 90 | 1201905405......2766885749 | c182 = P90 · P93 | (19·10195+53)/9 | May 4, 2011 | matsui |
| 65 | 90 | 1192105343......5217297333 | c199 = P90 · P110 | (5·10198-17)/3 | November 30, 2008 | Jo Yeong Uk |
| 66 | 90 | 1002076184......7331537721 | c179 = P90 · P90 | (31·10183-13)/9 | July 27, 2009 | Robert Backstrom |
| 67 | 89 | 7551552820......3562595377 | c195 = P89 · P106 | (32·10203+31)/9 | February 5, 2011 | Robert Backstrom |
| 68 | 89 | 5972008862......7354629477 | c243 = P89 · P154 | 10244+3 | April 11, 2010 | RSALS, Jeff Gilchrist |
| 69 | 89 | 5663300237......0743196879 | c190 = P89 · P101 | (4·10190-31)/9 | November 1, 2007 | Jo Yeong Uk |
| 70 | 89 | 5259332880......7024750447 | c198 = P89 · P110 | (5·10200+13)/9 | August 16, 2009 | Ignacio Santos |
| 71 | 89 | 4331350122......4578414523 | c205 = P89 · P117 | (16·10227-7)/9 | December 3, 2009 | RSALS, Jeff Gilchrist |
| 72 | 89 | 4328005510......6073696929 | c183 = P89 · P95 | (10195+72·1097-1)/9 | December 25, 2011 | Jo Yeong Uk |
| 73 | 89 | 3504584751......4260070747 | c192 = P89 · P104 | (4·10192-13)/9 | February 19, 2008 | Jo Yeong Uk |
| 74 | 89 | 2908171984......8877066449 | c191 = P89 · P103 | (4·10200-13)/9 | January 24, 2011 | Markus Tervooren |
| 75 | 89 | 1634176599......6047359851 | c177 = P89 · P89 | (37·10183+53)/9 | September 8, 2010 | Ignacio Santos |
| 76 | 89 | 1629276562......4307635029 | c177 = P89 · P89 | (37·10187+17)/9 | February 11, 2012 | Robert Backstrom |
| 77 | 89 | 1600238906......6404528443 | c180 = P89 · P92 | 9·10185+7 | November 22, 2008 | Wataru Sakai |
| 78 | 89 | 1363657585......8689414957 | c193 = P89 · P105 | (10229+53)/9 | February 13, 2010 | RSALS, Lionel Debroux, Joshua2 |
| 79 | 89 | 1349594432......4150016861 | c188 = P89 · P100 | (4·10188-31)/9 | October 17, 2007 | Jo Yeong Uk |
| 80 | 89 | 1320451830......6309784809 | c178 = P89 · P89 | 2·10193+3 | June 9, 2010 | Bart Jans |
| 81 | 89 | 1184749855......5322583083 | c187 = P89 · P98 | (86·10187-41)/9 | October 11, 2010 | Robert Backstrom |
| 82 | 89 | 1031355330......5849226013 | c180 = P89 · P92 | (53·10189-71)/9 | February 15, 2012 | Robert Backstrom |
| 83 | 88 | 6436266466......0591121799 | c194 = P88 · P106 | (31·10198+23)/9 | April 10, 2010 | Robert Backstrom |
| 84 | 88 | 4548789624......3242583257 | c184 = P88 · P96 | (82·10185-1)/9 | June 15, 2008 | Robert Backstrom |
| 85 | 88 | 4024550742......8559965681 | c196 = P88 · P108 | (19·10196+71)/9 | January 19, 2009 | Wataru Sakai |
| 86 | 88 | 3403248951......4183684189 | c195 = P88 · P108 | 5·10194+9 | September 5, 2008 | Jo Yeong Uk |
| 87 | 88 | 3384250757......2096639501 | c189 = P88 · P102 | (13·10196-1)/3 | November 17, 2010 | Robert Backstrom |
| 88 | 88 | 2548035129......1864294189 | c179 = P88 · P92 | (43·10182-61)/9 | July 22, 2009 | Robert Backstrom |
| 89 | 88 | 2497423954......0129361669 | c189 = P88 · P101 | (14·10195-41)/9 | August 19, 2010 | Ignacio Santos |
| 90 | 88 | 2415751401......4905427873 | c177 = P88 · P90 | (82·10189+71)/9 | March 3, 2012 | Robert Backstrom |
| 91 | 88 | 2052187685......9204220861 | c207 = P88 · P119 | (2·10209+1)/3 | July 27, 2009 | Robert Backstrom |
| 92 | 88 | 1773544851......2232843039 | c194 = P88 · P107 | (23·10198+31)/9 | September 20, 2009 | matsui |
| 93 | 88 | 1639019173......6983124029 | c179 = P88 · P91 | (5·10179-17)/3 | July 9, 2007 | Robert Backstrom |
| 94 | 88 | 1542411173......5655299091 | c183 = P88 · P96 | (67·10195+23)/9 | October 10, 2010 | matsui |
| 95 | 88 | 1516632346......0169586137 | c187 = P88 · P100 | 6·10193-1 | February 4, 2010 | Robert Backstrom |
| 96 | 88 | 1423285522......7170597099 | c178 = P88 · P91 | (58·10183+23)/9 | July 10, 2010 | Ignacio Santos |
| 97 | 87 | 8144562795......0748860053 | c175 = P87 · P89 | (10183+53)/9 | January 23, 2009 | Tyler Cadigan |
| 98 | 87 | 6039950078......8023460433 | c178 = P87 · P92 | (13·10184-7)/3 | March 2, 2010 | Wataru Sakai |
| 99 | 87 | 5041061439......7358372243 | c188 = P87 · P102 | (77·10187-23)/9 | November 8, 2010 | Sinkiti Sibata |
| 100 | 87 | 4369391363......2472591579 | c196 = P87 · P109 | (82·10198-1)/9 | May 18, 2009 | Robert Backstrom |
4. Top 100 big prime factors found by ECM
| digits | prime factor | from | B1 | sigma | when | who | |
|---|---|---|---|---|---|---|---|
| 1 | 68 | (64·10341-1)/9 | 110000000 | 1998958586 | Dec 28, 2009 | Lazarusuk and yoyo | |
| 2 | 61 | (4·10247+23)/9 | 43000000 | 1091070925 | Sep 26, 2011 | Dmitry Domanov | |
| 3 | 60 | 8·10173+3 | 70000000 | 2225376710 | Apr 21, 2011 | Markus Tervooren | |
| 4 | 60 | (10210+71)/9 | 110000000 | 1839417779 | Dec 14, 2011 | toms83 | |
| 5 | 58 | (8·10141-17)/9 | 3897500 | 2735675386 | Oct 31, 2003 | Robert Backstrom | |
| 6 | 58 | (7·10298-61)/9 | 110000000 | 3209778788 | May 15, 2012 | Polybius | |
| 7 | 57 | (64·10335-1)/9 | 110000000 | 2435189077 | May 30, 2010 | yoyo@home | |
| 8 | 57 | (10189+17)/9 | 43000000 | 2533385006 | Mar 19, 2010 | yoyo@home | |
| 9 | 56 | (64·10311-1)/9 | 110000000 | 2829005864 | Nov 12, 2010 | Jamoko | |
| 10 | 56 | 3·10166-1 | 44000000 | 3068145495 | Sep 14, 2005 | Wataru Sakai | |
| 11 | 55 | 6·10232+1 | 43000000 | 2996709645 | Oct 3, 2011 | Dmitry Domanov | |
| 12 | 55 | 2·10205+3 | 110000000 | 3201252992 | Sep 22, 2011 | Alessandro Freda | |
| 13 | 55 | (10199+6·1099-1)/3 | 43000000 | 7147498402 | Mar 14, 2012 | Jo Yeong Uk | |
| 14 | 55 | 6·10243-1 | 110000000 | 350798261 | Feb 8, 2012 | John Black | |
| 15 | 55 | (10217+45·10108-1)/9 | 11000000 | 2610167040 | Dec 19, 2011 | Wataru Sakai | |
| 16 | 55 | 3·10280+1 | 43000000 | 2745925504 | Nov 1, 2011 | Lionel Debroux | |
| 17 | 55 | 6·10232-1 | 110000000 | 2133991575 | Oct 12, 2010 | Crunchers For More Power | |
| 18 | 55 | (7·10173-1)/3 | 11000000 | 6839645954 | Mar 28, 2010 | Jo Yeong Uk | |
| 19 | 55 | (73·10248-1)/9 | 110000000 | 2054819751 | May 25, 2012 | nisba | |
| 20 | 54 | (28·10199+53)/9 | 43000000 | 1174455334 | Jan 25, 2010 | yoyo@home | |
| 21 | 54 | (7·10217-18·10108-7)/9 | 43000000 | 2582114177 | Apr 3, 2012 | Dmitry Domanov | |
| 22 | 54 | 3·10257+1 | 110000000 | 390679050 | Dec 17, 2011 | MarcinGorecki | |
| 23 | 54 | (7·10206-61)/9 | 43000000 | 3882850038 | Jul 19, 2011 | Dmitry Domanov | |
| 24 | 54 | (8·10205+1)/9 | 11000000 | 8149266422 | Feb 4, 2011 | Jo Yeong Uk | |
| 25 | 54 | 6·10233-1 | 110000000 | 2846170231 | Oct 14, 2011 | shauge | |
| 26 | 54 | (10203+17)/9 | 110000000 | 1401805083 | Mar 25, 2010 | yoyo@home | |
| 27 | 54 | (8·10235-71)/9 | 43000000 | 3059727795 | Apr 2, 2012 | Dmitry Domanov | |
| 28 | 53 | 2·10245+9 | 11000000 | 1340622085 | Jan 20, 2010 | Dmitry Domanov | |
| 29 | 53 | 6·10212+1 | 110000000 | 1720472598 | Feb 17, 2012 | Luca Dentis | |
| 30 | 53 | (8·10209+7)/3 | 110000000 | 582309154 | Dec 26, 2011 | Wataru Sakai | |
| 31 | 53 | (7·10287-61)/9 | 110000000 | 1954957419 | May 16, 2012 | [SG-FC] hl | |
| 32 | 53 | (8·10205+1)/9 | 11000000 | 1922815235 | Mar 3, 2011 | Jo Yeong Uk | |
| 33 | 53 | (31·10195-13)/9 | 11000000 | 417595026 | Mar 29, 2010 | Dmitry Domanov | |
| 34 | 53 | (4·10229+23)/9 | 43000000 | 468313029 | Sep 27, 2011 | Dmitry Domanov | |
| 35 | 53 | (53·10205-71)/9 | 110000000 | 3731845005 | Oct 12, 2010 | Jamoko | |
| 36 | 53 | (8·10236-71)/9 | 43000000 | 4248429471 | Apr 2, 2012 | Dmitry Domanov | |
| 37 | 53 | (13·10219-31)/9 | 43000000 | 1505691527 | May 25, 2012 | Dmitry Domanov | |
| 38 | 53 | (7·10286-61)/9 | 110000000 | 1755557075 | May 15, 2012 | Sonic@Planet 3DNow! | |
| 39 | 53 | 6·10234+1 | 110000000 | 1693717372 | Oct 17, 2010 | [AF>Le_Pommier>MacBidouille.com]m.o.u.s.t.i.c | |
| 40 | 52 | 7·10197+1 | 11000000 | 8526517687 | May 25, 2010 | Jo Yeong Uk | |
| 41 | 52 | (65·10198+61)/9 | 43000000 | 1510619645 | Feb 24, 2010 | yoyo@home | |
| 42 | 52 | (10178+53)/9 | 11000000 | 1762451977 | Jul 18, 2008 | suberi | |
| 43 | 52 | 5·10198-1 | 11000000 | 3155546428 | Jan 19, 2010 | Jo Yeong Uk | |
| 44 | 52 | (7·10248-43)/9 | 110000000 | 1445666929 | Jul 22, 2011 | bbd in ep | |
| 45 | 52 | (10217+17)/9 | 110000000 | 2706288145 | Sep 5, 2011 | Familie | |
| 46 | 52 | (7·10267+18·10133-7)/9 | 43000000 | 2970271342 | Mar 29, 2012 | Dmitry Domanov | |
| 47 | 52 | 4·10224+9 | 43000000 | 9880405 | Nov 11, 2011 | Dmitry Domanov | |
| 48 | 52 | (58·10170+41)/9 | 3000000 | 1249571775 | Aug 10, 2009 | Wataru Sakai | |
| 49 | 52 | (64·10329-1)/9 | 110000000 | 4282628390 | Nov 18, 2010 | Beyond | |
| 50 | 51 | (29·10170+43)/9 | 11000000 | 3500915563 | Sep 19, 2009 | Jo Yeong Uk | |
| 51 | 51 | 8·10178+9 | 110000000 | 82896577 | Dec 11, 2010 | centylion torun | |
| 52 | 51 | (10202+17)/9 | 110000000 | 2136131602 | Mar 24, 2010 | yoyo@home | |
| 53 | 51 | (32·10205+13)/9 | 110000000 | 3446144840 | Jun 15, 2009 | Wataru Sakai | |
| 54 | 51 | (4·10163+17)/3 | 11000000 | 861666340 | Aug 21, 2008 | nuggetprime | |
| 55 | 51 | (64·10259-1)/9 | 110000000 | 2465520274 | Nov 12, 2010 | Grubix | |
| 56 | 51 | (10226-7)/3 | 110000000 | 1606218002 | Aug 16, 2010 | [XTBA>TSA]+IvanleFou | |
| 57 | 51 | (76·10199+23)/9 | 3000000 | 2727544917 | Jun 4, 2010 | Wataru Sakai | |
| 58 | 51 | 7·10217+1 | 110000000 | 948868638 | Nov 12, 2011 | steinrar | |
| 59 | 51 | (10199+45·1099-1)/9 | 43000000 | 8250379896 | Dec 28, 2011 | Jo Yeong Uk | |
| 60 | 51 | (41·10192-23)/9 | 43000000 | 1809606589 | Jan 30, 2010 | yoyo@home | |
| 61 | 51 | (8·10245+7)/3 | 110000000 | 711246824 | May 21, 2011 | ERBrouwer | |
| 62 | 51 | (68·10215+13)/9 | 43000000 | 2037802617 | Mar 16, 2012 | Dmitry Domanov | |
| 63 | 51 | 3·10272+1 | 110000000 | 3238627378 | Dec 22, 2011 | Mr. Hankey | |
| 64 | 51 | (16·10213-1)/3 | 110000000 | 312436054 | Sep 30, 2010 | Beyond | |
| 65 | 51 | 3·10300+1 | 11000000 | 968510242 | Aug 14, 2010 | Dmitry Domanov | |
| 66 | 51 | 3·10270+1 | 11000000 | 796250227 | May 20, 2011 | Dmitry Domanov | |
| 67 | 51 | 6·10234-1 | 110000000 | 960106082 | Oct 13, 2011 | Jens | |
| 68 | 51 | (10213+12·10106-1)/3 | 43000000 | 2781673066 | Feb 9, 2012 | Dmitry Domanov | |
| 69 | 51 | 6·10233-1 | 110000000 | 1429579247 | Feb 8, 2012 | Meharts | |
| 70 | 51 | (7·10252-61)/9 | 110000000 | 243273973 | Nov 23, 2011 | shauge | |
| 71 | 50 | (7·10265-9·10132-7)/9 | 11000000 | 4074269785 | Jan 23, 2012 | Dmitry Domanov | |
| 72 | 50 | (23·10202-17)/3 | 3000000 | 231255056 | Mar 28, 2012 | Dmitry Domanov | |
| 73 | 50 | (68·10234+13)/9 | 11000000 | 2638345053 | Feb 14, 2012 | Dmitry Domanov | |
| 74 | 50 | (53·10175-17)/9 | 3000000 | 881074462 | Aug 10, 2011 | Erik Branger | |
| 75 | 50 | (43·10190+11)/9 | 11000000 | 1301257518 | Feb 24, 2009 | Wataru Sakai | |
| 76 | 50 | (7·10201-1)/3 | 110000000 | 1769223658 | Jan 22, 2011 | mikkovi | |
| 77 | 50 | 4·10249+9 | 110000000 | 3264100850 | Oct 1, 2011 | steinrar | |
| 78 | 50 | (7·10274-61)/9 | 110000000 | 907346231 | May 4, 2011 | Grubix | |
| 79 | 50 | 3·10276+1 | 110000000 | 2532303676 | Apr 26, 2011 | Grubix | |
| 80 | 50 | 3·10197+1 | 11000000 | 8431913116 | Mar 28, 2010 | Jo Yeong Uk | |
| 81 | 50 | 3·10267+1 | 110000000 | 2974508238 | Dec 21, 2011 | [AF>France] intello222222 | |
| 82 | 50 | (7·10265-61)/9 | 110000000 | 2839405427 | Nov 28, 2011 | GRB IV | |
| 83 | 50 | (23·10247-11)/3 | 43000000 | 2500401199 | May 11, 2012 | Dmitry Domanov | |
| 84 | 50 | (16·10244-7)/9 | 11000000 | 1786901496 | Aug 25, 2009 | Dmitry Domanov | |
| 85 | 50 | 6·10210-1 | 110000000 | 449455868 | Oct 7, 2011 | Grubix | |
| 86 | 50 | (29·10173-11)/9 | 250000 | 1233271169 | Nov 11, 2011 | Ray Chandler | |
| 87 | 50 | (10197+54·1098-1)/9 | 11000000 | 7949149673 | Oct 28, 2011 | Jo Yeong Uk | |
| 88 | 49 | (7·10269-61)/9 | 110000000 | 1704699520 | May 3, 2011 | VictordeHollander | |
| 89 | 49 | (73·10246-1)/9 | 11000000 | 3586205393 | Mar 22, 2011 | Dmitry Domanov | |
| 90 | 49 | (89·10218+1)/9 | 3000000 | 658974453 | Jan 21, 2011 | Serge Batalov | |
| 91 | 49 | (7·10253-9·10126-7)/9 | 3000000 | 3733260338 | Jan 16, 2012 | Dmitry Domanov | |
| 92 | 49 | (49·10164+41)/9 | 3316000 | 27217913 | Mar 28, 2009 | Robert Backstrom | |
| 93 | 49 | (17·10196+7)/3 | 11000000 | 469680236 | Aug 4, 2010 | Wataru Sakai | |
| 94 | 49 | 7·10223+1 | 43000000 | 3323799218 | Jun 11, 2011 | Dmitry Domanov | |
| 95 | 49 | (7·10213-61)/9 | 110000000 | 2137486157 | Nov 17, 2011 | Polybius | |
| 96 | 49 | 10277-8·10138-1 | 43000000 | 3176861911 | Jan 22, 2012 | Dmitry Domanov | |
| 97 | 49 | 3·10204-1 | 110000000 | 750827538 | Dec 17, 2011 | [GPU Force] Robert 7NBI | |
| 98 | 49 | 6·10210+1 | 110000000 | 2789305117 | Feb 9, 2012 | Jarekcz | |
| 99 | 49 | (7·10188-43)/9 | 43000000 | 3499185670 | May 22, 2009 | Dmitry Domanov | |
| 100 | 49 | 6·10230-1 | 110000000 | 3540827403 | Oct 14, 2011 | steinrar |
5. Nice split
Two large factors which have 50 digits at least with the same length.
6. Top 100 unprovable near-repdigit PRPs
Top 100 unprovable near-repdigit PRPs.
| digits | flabel | wlabel | expression | when | who | |
|---|---|---|---|---|---|---|
| 1 | 424861 | 33331 | 3w1 | (10424861-7)/3 | January 9, 2012 | Leonid Durman |
| 2 | 380976 | 33331 | 3w1 | (10380976-7)/3 | January 10, 2012 | Leonid Durman |
| 3 | 271757 | 77771 | 7w1 | (7·10271757-61)/9 | March 5, 2012 | Erik Branger |
| 4 | 260198 | 77771 | 7w1 | (7·10260198-61)/9 | November 26, 2011 | Erik Branger |
| 5 | 232599 | 99997 | 9w7 | 10232599-3 | October 16, 2010 | Markus Tervooren |
| 6 | 221631 | 99991 | 9w1 | 10221631-9 | February 2011 | Alexander Gramolin |
| 7 | 148328 | 88889 | 8w9 | (8·10148328+1)/9 | May 22, 2010 | Serge Batalov |
| 8 | 144683 | 88889 | 8w9 | (8·10144683+1)/9 | May 21, 2010 | Serge Batalov |
| 9 | 111706 | 77771 | 7w1 | (7·10111706-61)/9 | January 29, 2011 | Erik Branger |
| 10 | 103704 | 13333 | 13w | (4·10103703-1)/3 | August 2, 2009 | Serge Batalov |
| 11 | 93497 | 22223 | 2w3 | (2·1093497+7)/9 | March 14, 2011 | Erik Branger |
| 12 | 91856 | 77771 | 7w1 | (7·1091856-61)/9 | December 19, 2009 | Erik Branger |
| 13 | 90212 | 61111 | 61w | (55·1090211-1)/9 | February 11, 2012 | Ray Chandler |
| 14 | 88545 | 22223 | 2w3 | (2·1088545+7)/9 | March 14, 2011 | Erik Branger |
| 15 | 87720 | 99997 | 9w7 | 1087720-3 | July 28, 2010 | Markus Tervooren |
| 16 | 84239 | 66667 | 6w7 | (2·1084239+1)/3 | July 6, 2009 | Serge Batalov |
| 17 | 83462 | 71111 | 71w | (64·1083461-1)/9 | April 10, 2009 | Serge Batalov |
| 18 | 80139 | 99991 | 9w1 | 1080139-9 | January 2011 | Alexander Gramolin |
| 19 | 77309 | 44441 | 4w1 | (4·1077309-31)/9 | May 2, 2011 | Erik Branger |
| 20 | 75516 | 9v89w | 1075516-102256-1 | January 21, 2011 | Serge Batalov | |
| 21 | 74254 | 21111 | 21w | (19·1074253-1)/9 | February 4, 2012 | Ray Chandler |
| 22 | 71546 | 44441 | 4w1 | (4·1071546-31)/9 | May 2, 2011 | Erik Branger |
| 23 | 68994 | 9v89w | 1068994-105814-1 | January 21, 2011 | Serge Batalov | |
| 24 | 67863 | 99989 | 9w89 | 1067863-11 | May 29, 2011 | Bob Price |
| 25 | 66576 | 67777 | 67w | (61·1066575-7)/9 | February 8, 2012 | Ray Chandler |
| 26 | 64305 | 99991 | 9w1 | 1064305-9 | January 2011 | Alexander Gramolin |
| 27 | 63117 | 22223 | 2w3 | (2·1063117+7)/9 | March 14, 2011 | Erik Branger |
| 28 | 61098 | 61111 | 61w | (55·1061097-1)/9 | February 11, 2012 | Ray Chandler |
| 29 | 58437 | 99989 | 9w89 | 1058437-11 | May 29, 2011 | Bob Price |
| 30 | 56989 | 44441 | 4w1 | (4·1056989-31)/9 | May 2, 2011 | Erik Branger |
| 31 | 56545 | 21111 | 21w | (19·1056544-1)/9 | March 13, 2009 | Serge Batalov |
| 32 | 56454 | 61111 | 61w | (55·1056453-1)/9 | March 12, 2009 | Serge Batalov |
| 33 | 55544 | 66667 | 6w7 | (2·1055544+1)/3 | June 17, 2009 | Serge Batalov |
| 34 | 53804 | 99929 | 9w29 | 1053804-71 | April 26, 2011 | Bob Price |
| 35 | 53718 | 33331 | 3w1 | (1053718-7)/3 | October 17, 2004 | Makoto Kamada |
| 36 | 53558 | 99979 | 9w79 | 1053558-21 | March 4, 2011 | Bob Price |
| 37 | 53411 | 88889 | 8w9 | (8·1053411+1)/9 | December 18, 2008 | Serge Batalov |
| 38 | 53050 | 21111 | 21w | (19·1053049-1)/9 | March 9, 2009 | Serge Batalov |
| 39 | 52764 | 67777 | 67w | (61·1052763-7)/9 | February 27, 2009 | Serge Batalov |
| 40 | 52317 | 99929 | 9w29 | 1052317-71 | April 26, 2011 | Bob Price |
| 41 | 50929 | 99949 | 9w49 | 1050929-51 | May 29, 2011 | Bob Price |
| 42 | 49529 | 44441 | 4w1 | (4·1049529-31)/9 | May 2, 2011 | Erik Branger |
| 43 | 49484 | 9v89w | 1049484-105384-1 | January 21, 2011 | Serge Batalov | |
| 44 | 49170 | 61111 | 61w | (55·1049169-1)/9 | February 11, 2012 | Ray Chandler |
| 45 | 49025 | 33133 | 3w13w | (1049025-6·1024512-1)/3 | July 5, 2005 | Patrick De Geest |
| 46 | 44358 | 88887 | 8w7 | (8·1044358-17)/9 | May 2, 2011 | Erik Branger |
| 47 | 43873 | 99959 | 9w59 | 1043873-41 | April 26, 2011 | Bob Price |
| 48 | 43754 | 83333 | 83w | (25·1043753-1)/3 | January 18, 2009 | Serge Batalov |
| 49 | 43272 | 67777 | 67w | (61·1043271-7)/9 | January 2008 | Maksym Voznyy |
| 50 | 41034 | 27777 | 27w | (25·1041033-7)/9 | October 13, 2010 | Serge Batalov |
| 51 | 40890 | 53333 | 53w | (16·1040889-1)/3 | January 24, 2009 | Serge Batalov |
| 52 | 39606 | 66667 | 6w7 | (2·1039606+1)/3 | June 20, 2009 | Serge Batalov |
| 53 | 39464 | 55559 | 5w9 | (5·1039464+31)/9 | January 6, 2009 | Serge Batalov |
| 54 | 39311 | 77477 | 7w47w | (7·1039311-27·1019655-7)/9 | November 25, 2002 | Daniel Heuer |
| 55 | 38690 | 55559 | 5w9 | (5·1038690+31)/9 | January 6, 2009 | Serge Batalov |
| 56 | 37963 | 77771 | 7w1 | (7·1037963-61)/9 | December 19, 2009 | Erik Branger |
| 57 | 37923 | 31111 | 31w | (28·1037922-1)/9 | October 13, 2010 | Serge Batalov |
| 58 | 37915 | 77577 | 7w57w | (7·1037915-18·1018957-7)/9 | November 20, 2002 | Daniel Heuer |
| 59 | 37597 | 99991 | 9w1 | 1037597-9 | January 2008 | Jason Earls |
| 60 | 37169 | 99959 | 9w59 | 1037169-41 | December 25, 2010 | Bob Price |
| 61 | 36315 | 77577 | 7w57w | (7·1036315-18·1018157-7)/9 | November 18, 2002 | Daniel Heuer |
| 62 | 36271 | 99929 | 9w29 | 1036271-71 | December 25, 2010 | Bob Price |
| 63 | 35925 | 99991 | 9w1 | 1035925-9 | January 2008 | Jason Earls |
| 64 | 35754 | 53333 | 53w | (16·1035753-1)/3 | January 23, 2009 | Serge Batalov |
| 65 | 35371 | 99989 | 9w89 | 1035371-11 | December 25, 2010 | Bob Price |
| 66 | 35316 | 99959 | 9w59 | 1035316-41 | December 25, 2010 | Bob Price |
| 67 | 32633 | 61111 | 61w | (55·1032632-1)/9 | February 11, 2012 | Ray Chandler |
| 68 | 32176 | 88887 | 8w7 | (8·1032176-17)/9 | May 2, 2011 | Erik Branger |
| 69 | 31632 | 67777 | 67w | (61·1031631-7)/9 | January 2008 | Maksym Voznyy |
| 70 | 30977 | 67777 | 67w | (61·1030976-7)/9 | January 2008 | Maksym Voznyy |
| 71 | 30237 | 77677 | 7w67w | (7·1030237-9·1015118-7)/9 | November 13, 2002 | Daniel Heuer |
| 72 | 30178 | 33331 | 3w1 | (1030178-7)/3 | March 20, 2004 | Makoto Kamada |
| 73 | 29705 | 71777 | 717w | (646·1029703-7)/9 | July 11, 2011 | Ray Chandler |
| 74 | 29648 | 9w5999 | 1029648-4001 | April 29, 2011 | Ray Chandler | |
| 75 | 29315 | 77677 | 7w67w | (7·1029315-9·1014657-7)/9 | November 13, 2002 | Daniel Heuer |
| 76 | 29188 | 88881 | 8w1 | (8·1029188-71)/9 | January 31, 2010 | Erik Branger |
| 77 | 28934 | 44447 | 4w7 | (4·1028934+23)/9 | January 31, 2010 | Erik Branger |
| 78 | 28751 | 9w49999999999 | 1028751-50000000001 | April 29, 2011 | Ray Chandler | |
| 79 | 28683 | 9w599999999 | 1028683-400000001 | April 29, 2011 | Ray Chandler | |
| 80 | 28609 | 51111 | 51w | (46·1028608-1)/9 | February 25, 2010 | Erik Branger |
| 81 | 28566 | 9w899999999 | 1028566-100000001 | March 22, 2011 | Ray Chandler | |
| 82 | 28320 | 77737 | 7w37 | (7·1028320-367)/9 | June 30, 2011 | Ray Chandler |
| 83 | 27991 | 9w29999999 | 1027991-70000001 | April 29, 2011 | Ray Chandler | |
| 84 | 27955 | 77477 | 7w47w | (7·1027955-27·1013977-7)/9 | November 13, 2002 | Daniel Heuer |
| 85 | 27753 | 27777 | 27w | (25·1027752-7)/9 | February 25, 2010 | Erik Branger |
| 86 | 27679 | 9w79999999999 | 1027679-20000000001 | April 29, 2011 | Ray Chandler | |
| 87 | 27383 | 9w1999 | 1027383-8001 | April 29, 2011 | Ray Chandler | |
| 88 | 27378 | 9w49999 | 1027378-50001 | April 29, 2011 | Ray Chandler | |
| 89 | 27312 | 99959 | 9w59 | 1027312-41 | December 25, 2010 | Bob Price |
| 90 | 27118 | 9w199999 | 1027118-800001 | April 29, 2011 | Ray Chandler | |
| 91 | 27042 | 31111 | 31w | (28·1027041-1)/9 | February 25, 2010 | Erik Branger |
| 92 | 26777 | 38333 | 383w | (115·1026775-1)/3 | April 8, 2011 | Ray Chandler |
| 93 | 26693 | 11161 | 1w61 | (1026693+449)/9 | June 10, 2011 | Ray Chandler |
| 94 | 26677 | 9w299999 | 1026677-700001 | April 29, 2011 | Ray Chandler | |
| 95 | 26619 | 11911 | 1w91w | (1026619+72·1013309-1)/9 | November 13, 2002 | Daniel Heuer |
| 96 | 26601 | 9w299999 | 1026601-700001 | April 29, 2011 | Ray Chandler | |
| 97 | 26459 | 22223 | 2w3 | (2·1026459+7)/9 | January 31, 2010 | Erik Branger |
| 98 | 26445 | 77787 | 7w87 | (7·1026445+83)/9 | June 10, 2011 | Ray Chandler |
| 99 | 26395 | 11511 | 1w51w | (1026395+36·1013197-1)/9 | November 6, 2002 | Daniel Heuer |
| 100 | 26294 | 9w899 | 1026294-101 | January 2011 | Serge Batalov |
7. Top 100 unprovable quasi-repdigit PRPs
Top 100 unprovable quasi-repdigit PRPs except Plateau and Depression PRPs.
| digits | flabel | wlabel | expression | when | who | |
|---|---|---|---|---|---|---|
| 1 | 198530 | 58889 | 58w9 | (53·10198529+1)/9 | July 25, 2010 | Serge Batalov |
| 2 | 196685 | 48889 | 48w9 | (44·10196684+1)/9 | July 24, 2010 | Serge Batalov |
| 3 | 191074 | 38889 | 38w9 | (35·10191073+1)/9 | July 17, 2010 | Serge Batalov |
| 4 | 139290 | 28889 | 28w9 | (26·10139289+1)/9 | May 18, 2010 | Serge Batalov |
| 5 | 137251 | 78889 | 78w9 | (71·10137250+1)/9 | May 17, 2010 | Serge Batalov |
| 6 | 121622 | 18889 | 18w9 | (17·10121621+1)/9 | May 9, 2010 | Serge Batalov |
| 7 | 121243 | 18889 | 18w9 | (17·10121242+1)/9 | May 9, 2010 | Serge Batalov |
| 8 | 118217 | 58889 | 58w9 | (53·10118216+1)/9 | June 10, 2010 | Serge Batalov |
| 9 | 113942 | 20009 | 20w9 | 2·10113941+9 | March 8, 2010 | Dmitry Domanov |
| 10 | 109674 | 68889 | 68w9 | (62·10109673+1)/9 | June 5, 2010 | Serge Batalov |
| 11 | 106650 | 38889 | 38w9 | (35·10106649+1)/9 | June 14, 2010 | Serge Batalov |
| 12 | 100543 | 38889 | 38w9 | (35·10100542+1)/9 | June 5, 2010 | Serge Batalov |
| 13 | 98447 | 78889 | 78w9 | (71·1098446+1)/9 | June 14, 2010 | Serge Batalov |
| 14 | 98289 | 10003 | 10w3 | 1098288+3 | March 4, 2011 | Bob Price |
| 15 | 96744 | 31119 | 31w9 | (28·1096743+71)/9 | December 8, 2008 | Serge Batalov |
| 16 | 92692 | 10009 | 10w9 | 1092691+9 | March 4, 2011 | Bob Price |
| 17 | 91920 | 99961 | 9w61 | 1091920-39 | April 26, 2011 | Bob Price |
| 18 | 91216 | 70003 | 70w3 | 7·1091215+3 | November 7, 2009 | Erik Branger |
| 19 | 90598 | 19993 | 19w3 | 2·1090597-7 | March 8, 2010 | Dmitry Domanov |
| 20 | 90034 | 50003 | 50w3 | 5·1090033+3 | March 8, 2010 | Dmitry Domanov |
| 21 | 89170 | 69997 | 69w7 | 7·1089169-3 | March 8, 2010 | Dmitry Domanov |
| 22 | 88262 | 49997 | 49w7 | 5·1088261-3 | March 8, 2010 | Dmitry Domanov |
| 23 | 86816 | 99901 | 9w01 | 1086816-99 | May 29, 2011 | Bob Price |
| 24 | 86110 | 99931 | 9w31 | 1086110-69 | May 29, 2011 | Bob Price |
| 25 | 85911 | 59993 | 59w3 | 6·1085910-7 | March 8, 2010 | Dmitry Domanov |
| 26 | 84305 | 99943 | 9w43 | 1084305-57 | May 29, 2011 | Bob Price |
| 27 | 82790 | 99953 | 9w53 | 1082790-47 | April 26, 2011 | Bob Price |
| 28 | 81654 | 50009 | 50w9 | 5·1081653+9 | March 8, 2010 | Dmitry Domanov |
| 29 | 81297 | 99943 | 9w43 | 1081297-57 | May 29, 2011 | Bob Price |
| 30 | 77418 | 99967 | 9w67 | 1077418-33 | April 26, 2011 | Bob Price |
| 31 | 76875 | 99947 | 9w47 | 1076875-53 | May 29, 2011 | Bob Price |
| 32 | 74335 | 99947 | 9w47 | 1074335-53 | May 29, 2011 | Bob Price |
| 33 | 72730 | 99901 | 9w01 | 1072730-99 | May 29, 2011 | Bob Price |
| 34 | 72303 | 50009 | 50w9 | 5·1072302+9 | March 8, 2010 | Dmitry Domanov |
| 35 | 71952 | 60007 | 60w7 | 6·1071951+7 | March 8, 2010 | Dmitry Domanov |
| 36 | 71300 | 60007 | 60w7 | 6·1071299+7 | March 8, 2010 | Dmitry Domanov |
| 37 | 71238 | 50009 | 50w9 | 5·1071237+9 | March 8, 2010 | Dmitry Domanov |
| 38 | 68719 | 38889 | 38w9 | (35·1068718+1)/9 | May 22, 2010 | Serge Batalov |
| 39 | 68401 | 79993 | 79w3 | 8·1068400-7 | March 8, 2010 | Dmitry Domanov |
| 40 | 68297 | 99907 | 9w07 | 1068297-93 | May 29, 2011 | Bob Price |
| 41 | 67743 | 80009 | 80w9 | 8·1067742+9 | March 8, 2010 | Dmitry Domanov |
| 42 | 67469 | 90007 | 90w7 | 9·1067468+7 | March 8, 2010 | Dmitry Domanov |
| 43 | 66793 | 99937 | 9w37 | 1066793-63 | May 29, 2011 | Bob Price |
| 44 | 65332 | 68889 | 68w9 | (62·1065331+1)/9 | May 21, 2010 | Serge Batalov |
| 45 | 64883 | 19997 | 19w7 | 2·1064882-3 | March 8, 2010 | Dmitry Domanov |
| 46 | 64862 | 99953 | 9w53 | 1064862-47 | April 26, 2011 | Bob Price |
| 47 | 64436 | 99947 | 9w47 | 1064436-53 | May 29, 2011 | Bob Price |
| 48 | 64388 | 60007 | 60w7 | 6·1064387+7 | March 8, 2010 | Dmitry Domanov |
| 49 | 63719 | 12223 | 12w3 | (11·1063718+7)/9 | June 11, 2011 | Serge Batalov |
| 50 | 63352 | 70009 | 70w9 | 7·1063351+9 | March 8, 2010 | Dmitry Domanov |
| 51 | 62234 | 50003 | 50w3 | 5·1062233+3 | March 8, 2010 | Dmitry Domanov |
| 52 | 61868 | 99961 | 9w61 | 1061868-39 | April 26, 2011 | Bob Price |
| 53 | 60777 | 10003 | 10w3 | 1060776+3 | January 10, 2011 | Bob Price |
| 54 | 59587 | 49997 | 49w7 | 5·1059586-3 | March 8, 2010 | Dmitry Domanov |
| 55 | 59455 | 48889 | 48w9 | (44·1059454+1)/9 | May 18, 2010 | Serge Batalov |
| 56 | 59390 | 58889 | 58w9 | (53·1059389+1)/9 | May 18, 2010 | Serge Batalov |
| 57 | 59136 | 31117 | 31w7 | (28·1059135+53)/9 | November 19, 2008 | Serge Batalov |
| 58 | 58276 | 50003 | 50w3 | 5·1058275+3 | March 8, 2010 | Dmitry Domanov |
| 59 | 58225 | 99907 | 9w07 | 1058225-93 | May 29, 2011 | Bob Price |
| 60 | 57507 | 39997 | 39w7 | 4·1057506-3 | October 12, 2010 | Serge Batalov |
| 61 | 56899 | 38887 | 38w7 | (35·1056898-17)/9 | February 28, 2009 | Serge Batalov |
| 62 | 56780 | 70003 | 70w3 | 7·1056779+3 | November 7, 2009 | Erik Branger |
| 63 | 55031 | 69991 | 69w1 | 7·1055030-9 | March 8, 2010 | Dmitry Domanov |
| 64 | 54118 | 18889 | 18w9 | (17·1054117+1)/9 | May 10, 2010 | Serge Batalov |
| 65 | 53493 | 50009 | 50w9 | 5·1053492+9 | March 8, 2010 | Dmitry Domanov |
| 66 | 53112 | 68889 | 68w9 | (62·1053111+1)/9 | May 15, 2010 | Serge Batalov |
| 67 | 52041 | 99907 | 9w07 | 1052041-93 | May 29, 2011 | Bob Price |
| 68 | 51509 | 50003 | 50w3 | 5·1051508+3 | March 8, 2010 | Dmitry Domanov |
| 69 | 51164 | 49993 | 49w3 | 5·1051163-7 | March 8, 2010 | Dmitry Domanov |
| 70 | 50712 | 10007 | 10w7 | 1050711+7 | December 2007 | Jason Earls |
| 71 | 49683 | 38889 | 38w9 | (35·1049682+1)/9 | May 15, 2010 | Serge Batalov |
| 72 | 49165 | 1w001 | (1049165-991)/9 | July 27, 2010 | Serge Batalov | |
| 73 | 48110 | 10009 | 10w9 | 1048109+9 | December 2007 | Jason Earls |
| 74 | 48082 | 79991 | 79w1 | 8·1048081-9 | March 8, 2010 | Dmitry Domanov |
| 75 | 47281 | 69991 | 69w1 | 7·1047280-9 | March 8, 2010 | Dmitry Domanov |
| 76 | 46800 | 38889 | 38w9 | (35·1046799+1)/9 | May 15, 2010 | Serge Batalov |
| 77 | 45130 | 99931 | 9w31 | 1045130-69 | May 29, 2011 | Bob Price |
| 78 | 43394 | 69991 | 69w1 | 7·1043393-9 | March 8, 2010 | Dmitry Domanov |
| 79 | 43213 | 87773 | 87w3 | (79·1043212-43)/9 | October 14, 2010 | Serge Batalov |
| 80 | 43187 | 10009 | 10w9 | 1043186+9 | December 2007 | Jason Earls |
| 81 | 42763 | 19993 | 19w3 | 2·1042762-7 | March 8, 2010 | Dmitry Domanov |
| 82 | 41657 | 96661 | 96w1 | (29·1041656-17)/3 | August 27, 2010 | Serge Batalov |
| 83 | 41384 | 99953 | 9w53 | 1041384-47 | April 26, 2011 | Bob Price |
| 84 | 40744 | 84441 | 84w1 | (76·1040743-31)/9 | February 27, 2009 | Serge Batalov |
| 85 | 40286 | 20111 | 201w | (181·1040284-1)/9 | November 11, 2011 | Serge Batalov |
| 86 | 40169 | 49991 | 49w1 | 5·1040168-9 | September 5, 2010 | Ray Chandler |
| 87 | 40158 | 86669 | 86w9 | (26·1040157+7)/3 | October 14, 2010 | Serge Batalov |
| 88 | 39992 | 86669 | 86w9 | (26·1039991+7)/3 | October 14, 2010 | Serge Batalov |
| 89 | 39922 | 99943 | 9w43 | 1039922-57 | December 25, 2010 | Bob Price |
| 90 | 39856 | 42229 | 42w9 | (38·1039855+61)/9 | October 15, 2008 | Serge Batalov |
| 91 | 39630 | 50009 | 50w9 | 5·1039629+9 | March 8, 2010 | Dmitry Domanov |
| 92 | 39385 | 69991 | 69w1 | 7·1039384-9 | March 8, 2010 | Dmitry Domanov |
| 93 | 39267 | 40009 | 40w9 | 4·1039266+9 | September 2, 2010 | Ray Chandler |
| 94 | 38687 | 69991 | 69w1 | 7·1038686-9 | March 8, 2010 | Dmitry Domanov |
| 95 | 38467 | 79993 | 79w3 | 8·1038466-7 | March 8, 2010 | Dmitry Domanov |
| 96 | 38257 | 69997 | 69w7 | 7·1038256-3 | March 8, 2010 | Dmitry Domanov |
| 97 | 38109 | 69991 | 69w1 | 7·1038108-9 | March 8, 2010 | Dmitry Domanov |
| 98 | 38080 | 70003 | 70w3 | 7·1038079+3 | November 7, 2009 | Erik Branger |
| 99 | 37993 | 18889 | 18w9 | (17·1037992+1)/9 | May 10, 2010 | Serge Batalov |
| 100 | 37915 | 96661 | 96w1 | (29·1037914-17)/3 | August 27, 2010 | Serge Batalov |
See also Plateau and Depression Primes maintained by Patrick De Geest.
8. Quasi-repdigit twin primes
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 |