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  1. Top 100 big SNFS factorizations
  2. Top 100 big GNFS factorizations
  3. Top 100 big prime factors
  4. Top 100 big prime factors found by ECM
  5. Nice split
  6. Top 100 unprovable near-repdigit PRPs
  7. Top 100 unprovable quasi-repdigit PRPs
  8. 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.

  digits prime factors from when who
1 99 (16·10217-1)/3 Oct 18, 2011 matsui
2 97 6·10198+1 Mar 14, 2009 matsui
3 93 (71·10189+1)/9 Mar 5, 2010 Robert Backstrom
4 90 (31·10183-13)/9 Jul 27, 2009 Robert Backstrom
5 89 (37·10183+53)/9 Sep 8, 2010 Ignacio Santos
6 89 (37·10187+17)/9 Feb 11, 2012 Robert Backstrom
7 89 2·10193+3 Jun 9, 2010 Bart Jans
8 87 (88·10185-43)/9 Mar 1, 2012 Robert Backstrom
9 85 (7·10185-36·1092-7)/9 Feb 3, 2012 Dmitry Domanov
10 84 (8·10196+1)/9 Apr 27, 2009 Jo Yeong Uk
11 83 (10171+12·1085-1)/3 Mar 9, 2011 Dmitry Domanov
12 83 (62·10170-71)/9 Nov 15, 2009 Dmitry Domanov
13 78 (44·10173-71)/9 Mar 5, 2009 Serge Batalov
14 76 (79·10169-7)/9 Oct 1, 2008 Robert Backstrom
15 76 (65·10164+61)/9 Nov 29, 2009 Jo Yeong Uk
16 71 (52·10172-43)/9 Sep 7, 2010 Sinkiti Sibata
17 71 (47·10191+43)/9 Sep 30, 2010 matsui
18 70 (79·10180-61)/9 Nov 7, 2010 Robert Backstrom
19 70 (34·10203+11)/9 Mar 9, 2010 Markus Tervooren
20 69 (22·10139-1)/3 May 5, 2005 Greg Childers
21 69 (28·10146-1)/9 Apr 19, 2005 Sinkiti Sibata
22 68 8·10192+9 May 8, 2012 Robert Backstrom
23 68 (34·10137+11)/9 Dec 3, 2008 Serge Batalov
24 68 (22·10186+23)/9 May 23, 2012 Robert Backstrom
25 68 (22·10197+23)/9 Oct 1, 2009 Wataru Sakai
26 68 (59·10135+31)/9 Oct 19, 2009 Dmitry Domanov
27 68 (79·10153-43)/9 Nov 8, 2010 Dmitry Domanov
28 68 (59·10141-23)/9 Sep 7, 2009 Robert Backstrom
29 67 (19·10163+71)/9 Jul 13, 2008 Robert Backstrom
30 67 (35·10199-17)/9 Oct 16, 2010 Ignacio Santos
31 66 (76·10134-31)/9 Jan 14, 2010 Sinkiti Sibata
32 66 (5·10159-41)/9 Oct 8, 2007 Jo Yeong Uk
33 66 (23·10153+7)/3 Jan 28, 2010 Sinkiti Sibata
34 66 (58·10192+23)/9 Apr 13, 2011 Sinkiti Sibata
35 65 (22·10163-13)/9 Jul 10, 2008 Robert Backstrom
36 65 (10205+36·10102-1)/9 Nov 22, 2011 Warut Roonguthai
37 65 (16·10145-43)/9 Apr 19, 2008 Robert Backstrom
38 64 3·10192-1 Mar 1, 2010 Jo Yeong Uk
39 64 (11·10203+1)/3 Apr 27, 2010 Sinkiti Sibata
40 64 (11·10186+1)/3 Apr 19, 2010 Sinkiti Sibata
41 64 (13·10193+23)/9 Oct 1, 2008 Robert Backstrom
42 63 (64·10182+17)/9 May 25, 2011 Erik Branger
43 63 (13·10242-7)/3 Apr 4, 2012 Warut Roonguthai
44 63 (10175+63·1087-1)/9 May 2, 2011 Warut Roonguthai
45 62 (23·10184+13)/9 Sep 10, 2008 Sinkiti Sibata
46 62 (14·10145+13)/9 Mar 29, 2008 Jo Yeong Uk
47 62 5·10126+9 Dec 16, 2007 Jo Yeong Uk
48 62 (76·10148-31)/9 Jan 16, 2010 Sinkiti Sibata
49 62 (10228+11)/3 Nov 20, 2011 Dmitry Domanov
50 62 (22·10125-1)/3 Oct 24, 2004 Sander Hoogendoorn
51 61 (2·10193-17)/3 Dec 1, 2010 Erik Branger
52 61 (8·10178-53)/9 Aug 12, 2008 Serge Batalov
53 61 (22·10144-7)/3 Oct 29, 2009 Erik Branger
54 61 (4·10148+41)/9 Jan 31, 2005 Samuel Chong
55 61 (46·10174-1)/9 Aug 8, 2008 Serge Batalov
56 61 (8·10120+7)/3 Oct 20, 2007 Jo Yeong Uk
57 60 5·10118-9 Dec 4, 2007 Jo Yeong Uk
58 59 (25·10193+11)/9 Feb 2, 2010 Robert Backstrom
59 59 (7·10173-36·1086-7)/9 Feb 8, 2011 Erik Branger
60 59 (43·10160-7)/9 Aug 1, 2007 Sinkiti Sibata
61 59 (16·10183-61)/9 Apr 17, 2011 Dmitry Domanov
62 58 (5·10202+1)/3 Aug 16, 2011 matsui
63 58 (67·10143+23)/9 Nov 17, 2004 Greg Childers
64 57 (7·10142+11)/9 Apr 28, 2005 Makoto Kamada
65 57 (29·10118+1)/3 Oct 10, 2010 Dmitry Domanov
66 57 (22·10136+23)/9 Jul 10, 2008 Serge Batalov
67 57 (53·10149-71)/9 Apr 19, 2009 Robert Backstrom
68 56 4·10154+9 Dec 10, 2007 Robert Backstrom
69 56 (5·10113+7)/3 Sep 26, 2007 Jo Yeong Uk
70 56 (37·10181+17)/9 Apr 17, 2011 Dmitry Domanov
71 56 (73·10142+53)/9 Jan 16, 2010 juno1369
72 55 (4·10143+41)/9 Jan 21, 2005 Samuel Chong
73 55 (41·10109+31)/9 Feb 3, 2009 Erik Branger
74 55 (73·10123+53)/9 Jan 3, 2010 juno1369
75 55 (5·10134-11)/3 Apr 12, 2008 Sinkiti Sibata
76 55 (25·10223-1)/3 Nov 7, 2008 Serge Batalov
77 55 (74·10175-11)/9 Sep 4, 2011 Dmitry Domanov
78 54 (77·10167+13)/9 Nov 1, 2010 Dmitry Domanov
79 54 3·10196-1 Oct 3, 2008 Jo Yeong Uk
80 53 (22·10143-31)/9 Jun 27, 2008 Sinkiti Sibata
81 53 (58·10139-13)/9 Jun 29, 2009 Sinkiti Sibata
82 53 (4·10110-31)/9 May 22, 2004 Naoki Yamamoto
83 53 (67·10203-13)/9 Mar 15, 2012 Dmitry Domanov
84 52 8·10107+3 Aug 9, 2007 Robert Backstrom
85 52 (16·10144-43)/9 Apr 17, 2008 Robert Backstrom
86 52 (77·10160+13)/9 Oct 31, 2010 Dmitry Domanov
87 52 (19·10163+53)/9 Jun 3, 2008 Jo Yeong Uk
88 52 (82·10188+53)/9 Feb 14, 2012 Robert Backstrom
89 52 (22·10167-7)/3 Nov 9, 2009 Jo Yeong Uk
90 52 (88·10152-7)/9 Jun 22, 2006 Sinkiti Sibata
91 51 (10222+17)/9 Jul 9, 2009 Dmitry Domanov
92 51 (64·10122+53)/9 Jul 2, 2003 Robert Backstrom
93 51 (2·10195+7)/9 Dec 4, 2010 Dmitry Domanov
94 51 (32·10111-41)/9 Nov 22, 2008 Sinkiti Sibata
95 50 (59·10160-23)/9 Sep 6, 2009 Jo Yeong Uk
96 50 (31·10147+41)/9 Nov 25, 2008 Sinkiti Sibata

6. Top 100 unprovable near-repdigit PRPs

Top 100 unprovable near-repdigit PRPs.

Unprovable near-repdigit PRPs
 digitsflabelwlabelexpressionwhenwho
1424861333313w1(10424861-7)/3January 9, 2012Leonid Durman
2380976333313w1(10380976-7)/3January 10, 2012Leonid Durman
3271757777717w1(7·10271757-61)/9March 5, 2012Erik Branger
4260198777717w1(7·10260198-61)/9November 26, 2011Erik Branger
5232599999979w710232599-3October 16, 2010Markus Tervooren
6221631999919w110221631-9February 2011Alexander Gramolin
7148328888898w9(8·10148328+1)/9May 22, 2010Serge Batalov
8144683888898w9(8·10144683+1)/9May 21, 2010Serge Batalov
9111706777717w1(7·10111706-61)/9January 29, 2011Erik Branger
101037041333313w(4·10103703-1)/3August 2, 2009Serge Batalov
1193497222232w3(2·1093497+7)/9March 14, 2011Erik Branger
1291856777717w1(7·1091856-61)/9December 19, 2009Erik Branger
13902126111161w(55·1090211-1)/9February 11, 2012Ray Chandler
1488545222232w3(2·1088545+7)/9March 14, 2011Erik Branger
1587720999979w71087720-3July 28, 2010Markus Tervooren
1684239666676w7(2·1084239+1)/3July 6, 2009Serge Batalov
17834627111171w(64·1083461-1)/9April 10, 2009Serge Batalov
1880139999919w11080139-9January 2011Alexander Gramolin
1977309444414w1(4·1077309-31)/9May 2, 2011Erik Branger
2075516 9v89w1075516-102256-1January 21, 2011Serge Batalov
21742542111121w(19·1074253-1)/9February 4, 2012Ray Chandler
2271546444414w1(4·1071546-31)/9May 2, 2011Erik Branger
2368994 9v89w1068994-105814-1January 21, 2011Serge Batalov
2467863999899w891067863-11May 29, 2011Bob Price
25665766777767w(61·1066575-7)/9February 8, 2012Ray Chandler
2664305999919w11064305-9January 2011Alexander Gramolin
2763117222232w3(2·1063117+7)/9March 14, 2011Erik Branger
28610986111161w(55·1061097-1)/9February 11, 2012Ray Chandler
2958437999899w891058437-11May 29, 2011Bob Price
3056989444414w1(4·1056989-31)/9May 2, 2011Erik Branger
31565452111121w(19·1056544-1)/9March 13, 2009Serge Batalov
32564546111161w(55·1056453-1)/9March 12, 2009Serge Batalov
3355544666676w7(2·1055544+1)/3June 17, 2009Serge Batalov
3453804999299w291053804-71April 26, 2011Bob Price
3553718333313w1(1053718-7)/3October 17, 2004Makoto Kamada
3653558999799w791053558-21March 4, 2011Bob Price
3753411888898w9(8·1053411+1)/9December 18, 2008Serge Batalov
38530502111121w(19·1053049-1)/9March 9, 2009Serge Batalov
39527646777767w(61·1052763-7)/9February 27, 2009Serge Batalov
4052317999299w291052317-71April 26, 2011Bob Price
4150929999499w491050929-51May 29, 2011Bob Price
4249529444414w1(4·1049529-31)/9May 2, 2011Erik Branger
4349484 9v89w1049484-105384-1January 21, 2011Serge Batalov
44491706111161w(55·1049169-1)/9February 11, 2012Ray Chandler
4549025331333w13w(1049025-6·1024512-1)/3July 5, 2005Patrick De Geest
4644358888878w7(8·1044358-17)/9May 2, 2011Erik Branger
4743873999599w591043873-41April 26, 2011Bob Price
48437548333383w(25·1043753-1)/3January 18, 2009Serge Batalov
49432726777767w(61·1043271-7)/9January 2008Maksym Voznyy
50410342777727w(25·1041033-7)/9October 13, 2010Serge Batalov
51408905333353w(16·1040889-1)/3January 24, 2009Serge Batalov
5239606666676w7(2·1039606+1)/3June 20, 2009Serge Batalov
5339464555595w9(5·1039464+31)/9January 6, 2009Serge Batalov
5439311774777w47w(7·1039311-27·1019655-7)/9November 25, 2002Daniel Heuer
5538690555595w9(5·1038690+31)/9January 6, 2009Serge Batalov
5637963777717w1(7·1037963-61)/9December 19, 2009Erik Branger
57379233111131w(28·1037922-1)/9October 13, 2010Serge Batalov
5837915775777w57w(7·1037915-18·1018957-7)/9November 20, 2002Daniel Heuer
5937597999919w11037597-9January 2008Jason Earls
6037169999599w591037169-41December 25, 2010Bob Price
6136315775777w57w(7·1036315-18·1018157-7)/9November 18, 2002Daniel Heuer
6236271999299w291036271-71December 25, 2010Bob Price
6335925999919w11035925-9January 2008Jason Earls
64357545333353w(16·1035753-1)/3January 23, 2009Serge Batalov
6535371999899w891035371-11December 25, 2010Bob Price
6635316999599w591035316-41December 25, 2010Bob Price
67326336111161w(55·1032632-1)/9February 11, 2012Ray Chandler
6832176888878w7(8·1032176-17)/9May 2, 2011Erik Branger
69316326777767w(61·1031631-7)/9January 2008Maksym Voznyy
70309776777767w(61·1030976-7)/9January 2008Maksym Voznyy
7130237776777w67w(7·1030237-9·1015118-7)/9November 13, 2002Daniel Heuer
7230178333313w1(1030178-7)/3March 20, 2004Makoto Kamada
732970571777717w(646·1029703-7)/9July 11, 2011Ray Chandler
7429648 9w59991029648-4001April 29, 2011Ray Chandler
7529315776777w67w(7·1029315-9·1014657-7)/9November 13, 2002Daniel Heuer
7629188888818w1(8·1029188-71)/9January 31, 2010Erik Branger
7728934444474w7(4·1028934+23)/9January 31, 2010Erik Branger
7828751 9w499999999991028751-50000000001April 29, 2011Ray Chandler
7928683 9w5999999991028683-400000001April 29, 2011Ray Chandler
80286095111151w(46·1028608-1)/9February 25, 2010Erik Branger
8128566 9w8999999991028566-100000001March 22, 2011Ray Chandler
8228320777377w37(7·1028320-367)/9June 30, 2011Ray Chandler
8327991 9w299999991027991-70000001April 29, 2011Ray Chandler
8427955774777w47w(7·1027955-27·1013977-7)/9November 13, 2002Daniel Heuer
85277532777727w(25·1027752-7)/9February 25, 2010Erik Branger
8627679 9w799999999991027679-20000000001April 29, 2011Ray Chandler
8727383 9w19991027383-8001April 29, 2011Ray Chandler
8827378 9w499991027378-50001April 29, 2011Ray Chandler
8927312999599w591027312-41December 25, 2010Bob Price
9027118 9w1999991027118-800001April 29, 2011Ray Chandler
91270423111131w(28·1027041-1)/9February 25, 2010Erik Branger
922677738333383w(115·1026775-1)/3April 8, 2011Ray Chandler
9326693111611w61(1026693+449)/9June 10, 2011Ray Chandler
9426677 9w2999991026677-700001April 29, 2011Ray Chandler
9526619119111w91w(1026619+72·1013309-1)/9November 13, 2002Daniel Heuer
9626601 9w2999991026601-700001April 29, 2011Ray Chandler
9726459222232w3(2·1026459+7)/9January 31, 2010Erik Branger
9826445777877w87(7·1026445+83)/9June 10, 2011Ray Chandler
9926395115111w51w(1026395+36·1013197-1)/9November 6, 2002Daniel Heuer
10026294 9w8991026294-101January 2011Serge Batalov

7. Top 100 unprovable quasi-repdigit PRPs

Top 100 unprovable quasi-repdigit PRPs except Plateau and Depression PRPs.

Unprovable quasi-repdigit PRPs (except pd)
 digitsflabelwlabelexpressionwhenwho
11985305888958w9(53·10198529+1)/9July 25, 2010Serge Batalov
21966854888948w9(44·10196684+1)/9July 24, 2010Serge Batalov
31910743888938w9(35·10191073+1)/9July 17, 2010Serge Batalov
41392902888928w9(26·10139289+1)/9May 18, 2010Serge Batalov
51372517888978w9(71·10137250+1)/9May 17, 2010Serge Batalov
61216221888918w9(17·10121621+1)/9May 9, 2010Serge Batalov
71212431888918w9(17·10121242+1)/9May 9, 2010Serge Batalov
81182175888958w9(53·10118216+1)/9June 10, 2010Serge Batalov
91139422000920w92·10113941+9March 8, 2010Dmitry Domanov
101096746888968w9(62·10109673+1)/9June 5, 2010Serge Batalov
111066503888938w9(35·10106649+1)/9June 14, 2010Serge Batalov
121005433888938w9(35·10100542+1)/9June 5, 2010Serge Batalov
13984477888978w9(71·1098446+1)/9June 14, 2010Serge Batalov
14982891000310w31098288+3March 4, 2011Bob Price
15967443111931w9(28·1096743+71)/9December 8, 2008Serge Batalov
16926921000910w91092691+9March 4, 2011Bob Price
1791920999619w611091920-39April 26, 2011Bob Price
18912167000370w37·1091215+3November 7, 2009Erik Branger
19905981999319w32·1090597-7March 8, 2010Dmitry Domanov
20900345000350w35·1090033+3March 8, 2010Dmitry Domanov
21891706999769w77·1089169-3March 8, 2010Dmitry Domanov
22882624999749w75·1088261-3March 8, 2010Dmitry Domanov
2386816999019w011086816-99May 29, 2011Bob Price
2486110999319w311086110-69May 29, 2011Bob Price
25859115999359w36·1085910-7March 8, 2010Dmitry Domanov
2684305999439w431084305-57May 29, 2011Bob Price
2782790999539w531082790-47April 26, 2011Bob Price
28816545000950w95·1081653+9March 8, 2010Dmitry Domanov
2981297999439w431081297-57May 29, 2011Bob Price
3077418999679w671077418-33April 26, 2011Bob Price
3176875999479w471076875-53May 29, 2011Bob Price
3274335999479w471074335-53May 29, 2011Bob Price
3372730999019w011072730-99May 29, 2011Bob Price
34723035000950w95·1072302+9March 8, 2010Dmitry Domanov
35719526000760w76·1071951+7March 8, 2010Dmitry Domanov
36713006000760w76·1071299+7March 8, 2010Dmitry Domanov
37712385000950w95·1071237+9March 8, 2010Dmitry Domanov
38687193888938w9(35·1068718+1)/9May 22, 2010Serge Batalov
39684017999379w38·1068400-7March 8, 2010Dmitry Domanov
4068297999079w071068297-93May 29, 2011Bob Price
41677438000980w98·1067742+9March 8, 2010Dmitry Domanov
42674699000790w79·1067468+7March 8, 2010Dmitry Domanov
4366793999379w371066793-63May 29, 2011Bob Price
44653326888968w9(62·1065331+1)/9May 21, 2010Serge Batalov
45648831999719w72·1064882-3March 8, 2010Dmitry Domanov
4664862999539w531064862-47April 26, 2011Bob Price
4764436999479w471064436-53May 29, 2011Bob Price
48643886000760w76·1064387+7March 8, 2010Dmitry Domanov
49637191222312w3(11·1063718+7)/9June 11, 2011Serge Batalov
50633527000970w97·1063351+9March 8, 2010Dmitry Domanov
51622345000350w35·1062233+3March 8, 2010Dmitry Domanov
5261868999619w611061868-39April 26, 2011Bob Price
53607771000310w31060776+3January 10, 2011Bob Price
54595874999749w75·1059586-3March 8, 2010Dmitry Domanov
55594554888948w9(44·1059454+1)/9May 18, 2010Serge Batalov
56593905888958w9(53·1059389+1)/9May 18, 2010Serge Batalov
57591363111731w7(28·1059135+53)/9November 19, 2008Serge Batalov
58582765000350w35·1058275+3March 8, 2010Dmitry Domanov
5958225999079w071058225-93May 29, 2011Bob Price
60575073999739w74·1057506-3October 12, 2010Serge Batalov
61568993888738w7(35·1056898-17)/9February 28, 2009Serge Batalov
62567807000370w37·1056779+3November 7, 2009Erik Branger
63550316999169w17·1055030-9March 8, 2010Dmitry Domanov
64541181888918w9(17·1054117+1)/9May 10, 2010Serge Batalov
65534935000950w95·1053492+9March 8, 2010Dmitry Domanov
66531126888968w9(62·1053111+1)/9May 15, 2010Serge Batalov
6752041999079w071052041-93May 29, 2011Bob Price
68515095000350w35·1051508+3March 8, 2010Dmitry Domanov
69511644999349w35·1051163-7March 8, 2010Dmitry Domanov
70507121000710w71050711+7December 2007Jason Earls
71496833888938w9(35·1049682+1)/9May 15, 2010Serge Batalov
7249165 1w001(1049165-991)/9July 27, 2010Serge Batalov
73481101000910w91048109+9December 2007Jason Earls
74480827999179w18·1048081-9March 8, 2010Dmitry Domanov
75472816999169w17·1047280-9March 8, 2010Dmitry Domanov
76468003888938w9(35·1046799+1)/9May 15, 2010Serge Batalov
7745130999319w311045130-69May 29, 2011Bob Price
78433946999169w17·1043393-9March 8, 2010Dmitry Domanov
79432138777387w3(79·1043212-43)/9October 14, 2010Serge Batalov
80431871000910w91043186+9December 2007Jason Earls
81427631999319w32·1042762-7March 8, 2010Dmitry Domanov
82416579666196w1(29·1041656-17)/3August 27, 2010Serge Batalov
8341384999539w531041384-47April 26, 2011Bob Price
84407448444184w1(76·1040743-31)/9February 27, 2009Serge Batalov
854028620111201w(181·1040284-1)/9November 11, 2011Serge Batalov
86401694999149w15·1040168-9September 5, 2010Ray Chandler
87401588666986w9(26·1040157+7)/3October 14, 2010Serge Batalov
88399928666986w9(26·1039991+7)/3October 14, 2010Serge Batalov
8939922999439w431039922-57December 25, 2010Bob Price
90398564222942w9(38·1039855+61)/9October 15, 2008Serge Batalov
91396305000950w95·1039629+9March 8, 2010Dmitry Domanov
92393856999169w17·1039384-9March 8, 2010Dmitry Domanov
93392674000940w94·1039266+9September 2, 2010Ray Chandler
94386876999169w17·1038686-9March 8, 2010Dmitry Domanov
95384677999379w38·1038466-7March 8, 2010Dmitry Domanov
96382576999769w77·1038256-3March 8, 2010Dmitry Domanov
97381096999169w17·1038108-9March 8, 2010Dmitry Domanov
98380807000370w37·1038079+3November 7, 2009Erik Branger
99379931888918w9(17·1037992+1)/9May 10, 2010Serge Batalov
100379159666196w1(29·1037914-17)/3August 27, 2010Serge 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