Factorization results contributed January, 2026

Table of contents 目次

January 20, 2026 2026 年 1 月 20 日
- Thomas Kozlowski
January 19, 2026 2026 年 1 月 19 日
- Thomas Kozlowski
- Erik Branger
- Bob Backstrom
January 18, 2026 2026 年 1 月 18 日
- Thomas Kozlowski
- Bob Backstrom
January 17, 2026 2026 年 1 月 17 日
- Thomas Kozlowski
- Dmitry Domanov
- Bob Backstrom
January 16, 2026 2026 年 1 月 16 日
- Thomas Kozlowski
- Dmitry Domanov
- Bob Backstrom
January 15, 2026 2026 年 1 月 15 日
- Thomas Kozlowski
- Bob Backstrom
January 14, 2026 2026 年 1 月 14 日
- Thomas Kozlowski
- Erik Branger
January 13, 2026 2026 年 1 月 13 日
- Thomas Kozlowski
- Dmitry Domanov
- yoyo
- Bob Backstrom
January 12, 2026 2026 年 1 月 12 日
- Thomas Kozlowski
- Dmitry Domanov
- Bob Backstrom
January 11, 2026 2026 年 1 月 11 日
- Bob Backstrom
- Thomas Kozlowski
- Ignacio Santos
January 10, 2026 2026 年 1 月 10 日
- Thomas Kozlowski
- Erik Branger
- Bob Backstrom
January 9, 2026 2026 年 1 月 9 日
- Thomas Kozlowski
January 8, 2026 2026 年 1 月 8 日
- Thomas Kozlowski
- Erik Branger
- ebina
- Dmitry Domanov
- Bob Backstrom
January 7, 2026 2026 年 1 月 7 日
- Bob Backstrom
- Thomas Kozlowski
- Ignacio Santos
- Dmitry Domanov
January 6, 2026 2026 年 1 月 6 日
- Bob Backstrom
- Thomas Kozlowski
- Dmitry Domanov
January 5, 2026 2026 年 1 月 5 日
- Thomas Kozlowski
- Bob Backstrom
- ebina
- Ignacio Santos
- Dmitry Domanov
January 4, 2026 2026 年 1 月 4 日
- Thomas Kozlowski
- Bob Backstrom
January 3, 2026 2026 年 1 月 3 日
- Thomas Kozlowski
- Bob Backstrom
- Dmitry Domanov
January 2, 2026 2026 年 1 月 2 日
- Thomas Kozlowski
- Bob Backstrom
- Dmitry Domanov
- Ignacio Santos
January 1, 2026 2026 年 1 月 1 日
- Thomas Kozlowski
- Bob Backstrom
- Dmitry Domanov

January 20, 2026 2026 年 1 月 20 日

Thomas Kozlowski

74×10²⁹⁵-119 : c276 = P38 × P238
9×10²⁸²+5 : c282 = P42 × P240
83×10²⁹⁷+259 : c257 = P53 × P205
5×10²⁴³-379 : c241 = P44 × c198

January 19, 2026 2026 年 1 月 19 日

Thomas Kozlowski

83×10²⁸³+259 : c220 = P38 × P183
5×10²⁶¹-6 : c252 = P49 × c203
83×10²⁹²+259 : c266 = P40 × P226
56×10²⁴⁰+439 : c225 = P47 × P178
65×10²⁵³+349 : c207 = P43 × c164

Erik Branger

26×10²²²-53 : c177 = P60 × P118

Bob Backstrom

11×10²¹⁴-83 : c196 = P64 × P133
61×10²²³-259 : c210 = P45 × P67 × P99

January 18, 2026 2026 年 1 月 18 日

Thomas Kozlowski

65×10²⁷⁹+169 : c262 = P45 × c218
74×10²⁷⁴-119 : c266 = P45 × c222
5×10²⁹³-739 : c234 = P53 × P182
5×10²³⁷-6 : c193 = P45 × P148
5×10²³⁸-6 : c232 = P44 × c188
5×10²³⁹-6 : c229 = P43 × P187
65×10²³⁰+349 : c180 = P45 × P136
56×10²⁹³+259 : c258 = P38 × c220
5×10²⁵²-6 : c196 = P47 × P149
83×10²⁷⁹+259 : c197 = P40 × P158
83×10²⁸¹+259 : c245 = P40 × P205

Bob Backstrom

23×10²¹⁴+49 : c200 = P53 × P148

January 17, 2026 2026 年 1 月 17 日

January 16, 2026 2026 年 1 月 16 日

Thomas Kozlowski

74×10²¹⁶-119 : c178 = P49 × c130
5×10²⁶⁸-7 : c218 = P43 × P176
65×10²⁸⁴+79 : c262 = P44 × c218
83×10²⁹⁷+169 : c297 = P40 × c257
56×10²⁵⁹+259 : c232 = P40 × P192
89×10²⁸¹-719 : c275 = P42 × c233
83×10²²⁴+259 : c193 = P48 × c145
56×10²⁶³+259 : c220 = P45 × P175
74×10²³²-119 : c191 = P40 × P152
56×10²⁶⁴+259 : c242 = P45 × c198
74×10²³³-119 : c193 = P46 × c148
83×10²²⁷+259 : c207 = P41 × P166
74×10²³⁴-119 : c212 = P43 × c169
65×10²⁸⁹+79 : c284 = P45 × P239
5×10²⁷⁴-7 : c255 = P40 × c216
5×10²⁷⁶-7 : c224 = P44 × P181
83×10²²⁹+259 : c187 = P43 × c144
83×10²³¹+259 : c182 = P44 × c139
65×10²⁹²+79 : c229 = P44 × c186
5×10²⁶⁹-739 : c251 = P44 × c208
83×10²⁴⁰+259 : c205 = P45 × P161
5×10²⁸¹-7 : c196 = P42 × P154

Dmitry Domanov

47×10²⁶⁸+349 : c184 = P46 × P139

Bob Backstrom

29×10²²⁴-143 : c210 = P53 × P157

January 15, 2026 2026 年 1 月 15 日

Thomas Kozlowski

56×10²⁴⁷+259 : c242 = P45 × c197
5×10²²⁹-7 : c170 = P44 × c127
89×10²⁸⁰-719 : c251 = P47 × P205
29×10²⁶⁶-143 : c236 = P45 × c192
5×10²⁴²-739 : c232 = P42 × P191
9×10²⁷⁷+5 : c220 = P50 × c171
56×10²⁵²+259 : c218 = P47 × c171
56×10²⁵³+259 : c214 = P38 × c176
737×10²⁹⁰-89 : c245 = P44 × c202
74×10²¹³-119 : c180 = P45 × P136

Bob Backstrom

85×10²²³-319 : c210 = P84 × P126

January 14, 2026 2026 年 1 月 14 日

Thomas Kozlowski

5×10²⁹²-9 : c249 = P44 × P206
5×10²¹⁶-739 : c205 = P50 × c156
5×10²¹⁷-739 : c189 = P49 × P140
737×10²⁶⁵-89 : c254 = P41 × P213
83×10²⁸¹+169 : c261 = P45 × P217
65×10²⁷²+79 : c264 = P44 × c220
83×10²⁸³+169 : c272 = P42 × c231
83×10²⁸⁹+169 : c269 = P49 × P220
56×10²⁴⁴+259 : c206 = P44 × P162
5×10²³⁰-739 : c187 = P51 × P136

Erik Branger

77×10²²²-329 : c192 = P49 × P144
55×10²³⁹-19 : c223 = P56 × P167
22×10²³⁹-13 : c221 = P48 × P173
67×10²³⁹-49 : c202 = P53 × P150
67×10²⁴⁰-49 : c223 = P108 × P116
71×10²³⁹-89 : c239 = P59 × P181
71×10²⁴⁰-89 : c214 = P58 × P157
79×10²³⁹-79 : c230 = P56 × P59 × P116

January 13, 2026 2026 年 1 月 13 日

Thomas Kozlowski

56×10²⁹¹-119 : c242 = P47 × P196
737×10²⁴⁸-89 : c223 = P54 × P169
83×10²⁶⁹+169 : c243 = P40 × c203
56×10²⁹⁸-119 : c287 = P40 × P247
737×10²⁶⁰-89 : c233 = P47 × c187

Dmitry Domanov

13×10²⁷²+419 : c184 = P53 × P132

yoyo

43×10²⁵⁴-169 : c167 = P65 × P103

Bob Backstrom

2×10²¹⁹-9×10¹⁰⁹-29 : c219 = P53 × P166

January 12, 2026 2026 年 1 月 12 日

Thomas Kozlowski

9×10²⁷²+5 : c255 = P46 × c210
83×10²⁴⁵+169 : c230 = P46 × P185
646×10²⁹⁴-79 : c242 = P41 × c201
83×10²⁴⁷+169 : c196 = P46 × c150
49×10²⁶⁹+329 : c219 = P41 × c178
737×10²²⁴-89 : c194 = P42 × c152
5×10²⁶⁸-9 : c251 = P45 × c207
737×10²³¹-89 : c216 = P42 × P174
56×10²⁸⁷-119 : c222 = P49 × P174
29×10²⁶²-143 : c203 = P38 × P166
5×10²⁷⁵-9 : c247 = P42 × P206

Dmitry Domanov

43×10²⁸⁴+119 : c187 = P51 × c136
55×10²⁷⁶+89 : c187 = P48 × P139

Bob Backstrom

527×10²¹⁴-59 : c205 = P53 × P58 × P95

January 11, 2026 2026 年 1 月 11 日

Bob Backstrom

23×10²²³+229 : c210 = P49 × P161
71×10²¹⁸-269 : c210 = P57 × P154
73×10²¹⁴+269 : c155 = P51 × P105

Thomas Kozlowski

65×10²⁹²-119 : c288 = P46 × c242
73×10²⁹²+719 : c291 = P43 × c248
73×10²⁹⁷+719 : c217 = P43 × P175
65×10²²³+79 : c179 = P41 × P139
56×10²⁷⁴-119 : c255 = P42 × c214
49×10²⁹⁹+239 : c250 = P46 × c205
65×10²²⁷+79 : c208 = P48 × P161

Ignacio Santos

2×10²⁷³-15×10¹³⁶-23 : c255 = P46 × c210

January 10, 2026 2026 年 1 月 10 日

Thomas Kozlowski

65×10²⁸³-119 : c213 = P45 × P169
56×10²⁵¹-119 : c215 = P43 × c173
49×10²⁴⁸+419 : c198 = P45 × c154
65×10²⁸⁸-119 : c234 = P41 × c193
49×10²⁵³+419 : c194 = P48 × P147
49×10²⁵⁴+419 : c237 = P42 × P195
49×10²⁵⁷+419 : c241 = P47 × c194
49×10²⁶⁰+419 : c234 = P41 × c193

Erik Branger

755×10²²²-89 : c209 = P61 × P65 × P83

Bob Backstrom

82×10²²³-19 : c210 = P63 × P147

January 9, 2026 2026 年 1 月 9 日

Thomas Kozlowski

83×10²⁷²+79 : c234 = P41 × c193
83×10²⁷⁵+79 : c231 = P46 × c186
83×10²⁷⁶+79 : c206 = P39 × c168
65×10²⁶⁹-119 : c239 = P37 × c202
73×10²⁷⁰+719 : c258 = P41 × c217
185×10²⁸⁰-23 : c231 = P43 × c189
83×10²⁷⁸+79 : c260 = P47 × P213
49×10²²⁵+419 : c184 = P46 × c138
49×10²³²+419 : c211 = P46 × P166
73×10²⁷⁷+719 : c219 = P41 × P179

January 8, 2026 2026 年 1 月 8 日

Thomas Kozlowski

55×10²⁹⁴+719 : c239 = P42 × P198
73×10²⁴⁷+719 : c189 = P44 × c146
55×10²⁷¹+539 : c216 = P41 × P175
65×10²⁵⁹-119 : c241 = P41 × P201
9×10²⁶⁰+5 : c227 = P40 × c187
83×10²⁶²+79 : c233 = P48 × c185
64×10²⁹⁶+539 : c220 = P51 × c169
44×10²⁴⁸-539 : c172 = P53 × P120
65×10²⁶⁷-119 : c255 = P44 × P212

Erik Branger

482×10²⁴⁰-59 : c213 = P50 × P164

ebina

44×10²⁹⁸-179 : c155 = P58 × P98

Dmitry Domanov

55×10²¹²+269 : c104 = P51 × P53
646×10²¹⁷-79 : c133 = P58 × P76
65×10²³³-119 : c128 = P53 × P75
55×10²²⁶+89 : c131 = P52 × P79

Bob Backstrom

73×10²²⁹+269 : c147 = P59 × P89

January 7, 2026 2026 年 1 月 7 日

Bob Backstrom

82×10²⁶⁵+539 : c148 = P66 × P82
82×10²⁵⁷-19 : c147 = P52 × P95

Thomas Kozlowski

65×10²³²-119 : c185 = P44 × P141
65×10²³³-119 : c179 = P52 × c128
65×10²³⁸-119 : c198 = P47 × P152
64×10²⁸⁵+359 : c234 = P49 × P186
73×10²⁴⁰+719 : c195 = P46 × c150
49×10²⁸⁶-139 : c242 = P49 × P194
73×10²⁴²+719 : c204 = P42 × c162
83×10²³⁶+79 : c217 = P40 × c178

Ignacio Santos

5×10²⁷⁷+27×10¹³⁸-59 : c233 = P47 × c187

Dmitry Domanov

73×10²⁸⁰+269 : c192 = P49 × P144

January 6, 2026 2026 年 1 月 6 日

Bob Backstrom

82×10²²⁴+539 : c149 = P68 × P82
71×10²¹⁶-629 : c210 = P60 × P151
89×10²²⁸-269 : c228 = P41 × P50 × P138

Thomas Kozlowski

55×10²¹²+269 : c149 = P46 × c104
646×10²⁹⁴-79 : c281 = P40 × c242
646×10²⁹⁶-79 : c237 = P42 × c195
73×10²⁹⁹+629 : c261 = P46 × c216
646×10²⁹⁹-79 : c243 = P44 × P200
49×10²⁶⁹+329 : c257 = P39 × c219
73×10²¹⁴+719 : c166 = P47 × P119
49×10²⁵²-139 : c196 = P46 × P150
73×10²¹⁷+719 : c187 = P47 × c140
55×10²⁷⁹+719 : c266 = P40 × P227
29×10²⁴⁹-143 : c204 = P41 × c163
73×10²²⁴+719 : c196 = P39 × P157

Dmitry Domanov

89×10²⁹²+19 : c282 = P44 × P238

January 5, 2026 2026 年 1 月 5 日

Thomas Kozlowski

73×10²⁸⁵-19 : c196 = P44 × c153
64×10²⁷³+179 : c205 = P47 × c159
646×10²⁸⁸-79 : c256 = P44 × c213

Bob Backstrom

5×10²¹⁶-379 : c210 = P46 × P165
61×10²¹³-529 : c210 = P105 × P106

ebina

88×10²²³-259 : c213 = P38 × P175

Ignacio Santos

5×10²⁴³+27×10¹²¹-59 : c226 = P37 × c189

Dmitry Domanov

82×10²⁸⁶+359 : c196 = P42 × P155
64×10²⁸⁸+179 : c167 = P51 × P116

January 4, 2026 2026 年 1 月 4 日

Thomas Kozlowski

73×10²⁶⁰+629 : c220 = P43 × c177
646×10²⁷¹-79 : c210 = P40 × c170
55×10²⁷⁶+89 : c230 = P43 × c187
85×10²⁸⁶-319 : c265 = P49 × c216
73×10²⁶⁵+629 : c184 = P45 × c140
49×10²³⁸+329 : c238 = P40 × P198
49×10²⁴⁰+329 : c237 = P48 × c190
83×10²⁶⁰-29 : c196 = P42 × c154
83×10²⁶¹-29 : c228 = P48 × P181
49×10²⁴⁵+329 : c239 = P44 × P196

Bob Backstrom

73×10²¹²+269 : c202 = P89 × P114
7×10²²⁴+6 : c151 = P48 × P103
35×10²¹⁶-629 : c210 = P65 × P146

January 3, 2026 2026 年 1 月 3 日

Thomas Kozlowski

646×10²⁴²-79 : c203 = P39 × c165
55×10²²⁴+89 : c175 = P44 × P131
55×10²²⁶+89 : c181 = P50 × c131
73×10²⁴⁶+629 : c212 = P39 × c174
73×10²⁴⁹+629 : c205 = P45 × c160
49×10²⁹⁹+239 : c298 = P48 × c250
49×10²¹⁶+329 : c188 = P51 × c138
49×10²³¹+329 : c179 = P43 × P136

Bob Backstrom

55×10²²⁷+629 : c146 = P59 × P87
7×10²¹⁵-5 : c210 = P44 × P76 × P91

Dmitry Domanov

64×10²⁹⁸+539 : c188 = P46 × P143

January 2, 2026 2026 年 1 月 2 日

Thomas Kozlowski

83×10²⁹⁰-119 : c238 = P42 × P196
9×10²⁵¹+5 : c242 = P46 × c197
646×10²¹⁴-79 : c179 = P50 × P129
646×10²¹⁷-79 : c176 = P43 × c133
646×10²²⁶-79 : c220 = P47 × P173
646×10²²⁷-79 : c205 = P45 × P160
83×10²⁹⁹-119 : c245 = P44 × c202
646×10²³⁶-79 : c212 = P42 × P170

Bob Backstrom

17×10²¹⁵-53 : c210 = P63 × P147
55×10²⁵¹+629 : c134 = P64 × P70
44×10²¹⁶-539 : c145 = P70 × P75

Dmitry Domanov

7×10²²⁷+6 : c133 = P56 × P78
49×10²⁷⁶-319 : c188 = P47 × c141
77×10²⁹⁸+49 : c278 = P47 × P231

Ignacio Santos

49×10²⁷⁰-319 : c159 = P47 × P112

January 1, 2026 2026 年 1 月 1 日

Thomas Kozlowski

55×10²⁶⁷+629 : c207 = P48 × P159
83×10²⁷⁷-119 : c198 = P44 × P155
55×10²⁷⁰+629 : c246 = P42 × c205
83×10²⁸⁰-119 : c268 = P41 × P227
55×10²⁷³+629 : c239 = P42 × c197
43×10²⁷⁴+119 : c205 = P48 × c157
43×10²⁸⁴+119 : c230 = P44 × c187
64×10²⁹¹+719 : c246 = P50 × P196
55×10²⁸⁰+629 : c243 = P42 × P202
49×10²⁷⁹+239 : c242 = P41 × P201
55×10²⁸²+629 : c248 = P44 × c205
55×10²⁸⁴+629 : c236 = P44 × c193

Bob Backstrom

8×10²⁵⁶+5 : c139 = P48 × P91
37×10²¹³+629 : c210 = P64 × P146
44×10²⁶³-179 : c142 = P55 × P88

Dmitry Domanov

55×10²⁶¹+179 : c102 = P50 × P52
7×10²³⁹+6 : c127 = P54 × P74
10²⁷¹+15×10¹³⁵-13 : c185 = P47 × P139
44×10²³¹-179 : c133 = P57 × P76