Factorization results contributed January, 2022 2022 年 1 月に投稿された素因数分解の結果 - Contributions 投稿 - Factorization 素因数分解 - STUDIO KAMADA

Table of contents 目次

• January 31, 2022 2022 年 1 月 31 日
  • Ray Chandler
  • Dmitry Domanov
  • Eric Jeancolas
  • Bob Backstrom
  • Erik Branger
  • Ignacio Santos
• January 30, 2022 2022 年 1 月 30 日
  • Eric Jeancolas
  • Ray Chandler
  • Dmitry Domanov
  • Bob Backstrom
  • Ignacio Santos
• January 29, 2022 2022 年 1 月 29 日
  • Eric Jeancolas
  • Bob Backstrom
  • Erik Branger
  • Dmitry Domanov
  • Ray Chandler
• January 28, 2022 2022 年 1 月 28 日
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
• January 27, 2022 2022 年 1 月 27 日
  • Eric Jeancolas
  • Erik Branger
  • Dmitry Domanov
  • Bob Backstrom
  • Ignacio Santos
• January 26, 2022 2022 年 1 月 26 日
  • Bob Backstrom
  • Dmitry Domanov
  • Eric Jeancolas
  • Ignacio Santos
• January 25, 2022 2022 年 1 月 25 日
  • Bob Backstrom
  • Dmitry Domanov
• January 24, 2022 2022 年 1 月 24 日
  • ivelive
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
  • ebina
  • Ignacio Santos
• January 23, 2022 2022 年 1 月 23 日
  • Eric Jeancolas
  • Bob Backstrom
  • Dmitry Domanov
  • ivelive
  • Ignacio Santos
• January 22, 2022 2022 年 1 月 22 日
  • Dmitry Domanov
  • Bob Backstrom
  • Ignacio Santos
• January 21, 2022 2022 年 1 月 21 日
  • Ignacio Santos
  • Bob Backstrom
  • Dmitry Domanov
  • Eric Jeancolas
• January 20, 2022 2022 年 1 月 20 日
  • Eric Jeancolas
  • Dmitry Domanov
  • Bob Backstrom
  • Erik Branger
  • Ignacio Santos
• January 19, 2022 2022 年 1 月 19 日
  • Eric Jeancolas
  • Bob Backstrom
  • Dmitry Domanov
  • Ignacio Santos
• January 18, 2022 2022 年 1 月 18 日
  • Eric Jeancolas
  • Bob Backstrom
  • Youcef Lemsafer
  • Ignacio Santos
• January 17, 2022 2022 年 1 月 17 日
  • Eric Jeancolas
  • Bob Backstrom
  • Dmitry Domanov
  • Erik Branger
  • Ignacio Santos
• January 16, 2022 2022 年 1 月 16 日
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
  • Ignacio Santos
• January 15, 2022 2022 年 1 月 15 日
  • Bob Backstrom
  • Eric Jeancolas
  • Ignacio Santos
  • Dmitry Domanov
• January 14, 2022 2022 年 1 月 14 日
  • Bob Backstrom
  • Dmitry Domanov
  • Ignacio Santos
• January 13, 2022 2022 年 1 月 13 日
  • ebina
  • Eric Jeancolas
  • Bob Backstrom
  • Dmitry Domanov
  • Ignacio Santos
  • Erik Branger
• January 12, 2022 2022 年 1 月 12 日
  • Dmitry Domanov
  • Bob Backstrom
  • Eric Jeancolas
  • Ignacio Santos
  • ebina
• January 11, 2022 2022 年 1 月 11 日
  • Bob Backstrom
  • Dmitry Domanov
  • Eric Jeancolas
  • Erik Branger
  • Ignacio Santos
• January 10, 2022 2022 年 1 月 10 日
  • Bob Backstrom
  • Dmitry Domanov
  • Eric Jeancolas
  • Ignacio Santos
• January 9, 2022 2022 年 1 月 9 日
  • Bob Backstrom
  • Eric Jeancolas
  • Ignacio Santos
• January 8, 2022 2022 年 1 月 8 日
  • Dmitry Domanov
  • Bob Backstrom
  • Ignacio Santos
  • Eric Jeancolas
• January 7, 2022 2022 年 1 月 7 日
  • Bob Backstrom
  • Dmitry Domanov
  • Eric Jeancolas
  • Ignacio Santos
• January 6, 2022 2022 年 1 月 6 日
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
  • Ignacio Santos
• January 5, 2022 2022 年 1 月 5 日
  • Bob Backstrom
  • Eric Jeancolas
  • Ignacio Santos
  • Dmitry Domanov
  • NFS@Home + Greg Childers
• January 4, 2022 2022 年 1 月 4 日
  • Bob Backstrom
  • Eric Jeancolas
  • Ignacio Santos
  • Dmitry Domanov
• January 3, 2022 2022 年 1 月 3 日
  • Bob Backstrom
  • Ignacio Santos
  • Dmitry Domanov
• January 2, 2022 2022 年 1 月 2 日
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
  • Ignacio Santos
• January 1, 2022 2022 年 1 月 1 日
  • Bob Backstrom
  • Eric Jeancolas
  • Dmitry Domanov
  • Ignacio Santos

January 31, 2022 2022 年 1 月 31 日

Ray Chandler

• 2×4×10¹⁸⁵-3199 : c156 = P76 × P81
• 2×4×10¹⁸⁵-1399 : c166 = P53 × P113
• 2×10¹⁸⁶+2249 : c145 = P65 × P81
• 5×10¹⁸⁶-739 : c157 = P45 × P112

Dmitry Domanov

• 2×10²⁵⁷+3149 : c249 = P40 × c209
• 2×4×10²⁸⁵-1399 : c240 = P44 × c197

Eric Jeancolas

• 2×2×10¹⁸⁶+2239 : c135 = P47 × P88
• 2×2×10¹⁸⁷+2239 : c146 = P60 × P87

Bob Backstrom

• 62×10²⁰²-539 : c166 = P48 × P119

Erik Branger

• 64×10³⁹³-19 : c245 = P50 × P195
• 7×10²²¹+1 : c196 = P40 × P60 × P97
• 53×10²²²-719 : c193 = P47 × P73 × P74
• 56×10²²⁵-119 : c149 = P73 × P76

Ignacio Santos

• 2×4×10¹⁹⁵-1399 : c146 = P46 × P101

January 30, 2022 2022 年 1 月 30 日

Eric Jeancolas

• 5×10¹⁹⁹-18×10⁹⁹-59 : c197 = P47 × P66 × P85
• 49×10²⁰⁵-49 : c146 = P63 × P84
• 2×2×10¹⁹⁷+1339 : c150 = P61 × P90

Ray Chandler

• 2×10¹⁸³+3149 : c135 = P56 × P79
• 2×4×10¹⁸³-1399 : c137 = P54 × P83
• 2×10¹⁸⁴+1349 : c135 = P52 × P83
• 5×10¹⁸⁴-739 : c142 = P55 × P88
• 2×4×10¹⁸⁴-3199 : c154 = P53 × P102

Dmitry Domanov

• 65×10²⁶⁸+619 : c269 = P54 × c216
• 64×10³⁹⁷-19 : c305 = P44 × c262

Bob Backstrom

• 2×4×10²⁰³-3199 : c175 = P88 × P88
• 127×10²⁰¹-19 : c169 = P68 × P102

Ignacio Santos

• 2×2×10¹⁹⁸-1379 : c153 = P42 × c112

January 29, 2022 2022 年 1 月 29 日

Eric Jeancolas

• 2×2×10¹⁸³+2239 : c166 = P55 × P112
• 2×2×10¹⁸²+2239 : c164 = P82 × P83
• 2×2×10¹⁸⁴+2239 : c145 = P54 × P92

Bob Backstrom

• 2×10¹⁹⁶+3149 : c167 = P70 × P98
• 2×4×10²⁰⁰-1399 : c176 = P71 × P106

Erik Branger

• 64×10³⁶⁹-19 : c222 = P53 × P170
• 4×10²²²+1 : c177 = P83 × P95

Dmitry Domanov

• 2×2×10²²⁹-1379 : c222 = P33 × c190

Ray Chandler

• 2×2×10¹⁸²-1379 : c164 = P75 × P90

January 28, 2022 2022 年 1 月 28 日

Bob Backstrom

• 68×10²⁰¹+319 : c167 = P69 × P99
• 17×10²⁰¹+19 : c167 = P54 × P113
• 2×4×10²⁰¹-1399 : c167 = P81 × P86

Eric Jeancolas

• 5×10¹⁸¹-18×10⁹⁰-59 : c160 = P51 × P110

Dmitry Domanov

• 2×2×10²⁹⁰-1379 : c247 = P41 × P206
• 2×2×10²⁸⁷-1379 : c248 = P44 × c205

January 27, 2022 2022 年 1 月 27 日

Eric Jeancolas

• 5×10¹⁷³-18×10⁸⁶-59 : c161 = P61 × P100
• 2×2×10¹⁹¹+1339 : c161 = P57 × P104
• 5×10¹⁷⁷-18×10⁸⁸-59 : c140 = P59 × P81

Erik Branger

• 52×10²²²-439 : c190 = P78 × P113

Dmitry Domanov

• 2×2×10²³²+2239 : c181 = P37 × c144
• 2×2×10²⁴³+2239 : c227 = P39 × P188
• 2×2×10²³⁰+2239 : c209 = P41 × c169
• 2×2×10²²⁷+2239 : c192 = P42 × P150

Bob Backstrom

• 13×10²⁰¹-73 : c168 = P66 × P102

Ignacio Santos

• 2×2×10²⁶¹+2239 : c152 = P45 × P107
• 5×10²³⁸-739 : c153 = P43 × P111
• 2×2×10²⁰³-1379 : c199 = P40 × c160
• 23×10²⁶⁶+13 : c171 = P41 × P130

January 26, 2022 2022 年 1 月 26 日

Bob Backstrom

• 2×10¹⁹⁸-763 : c169 = P42 × P47 × P81
• 2×4×10¹⁹⁴-1399 : c169 = P44 × P126
• 2×4×10¹⁸²-3199 : c169 = P55 × P115

Dmitry Domanov

• 2×2×10²⁷⁶+2239 : c246 = P38 × c209
• 2×2×10²⁷⁴+2239 : c221 = P35 × P42 × P145
• 2×2×10²⁶¹+2239 : c186 = P35 × c152

Eric Jeancolas

• 2×2×10¹⁹⁴+1339 : c147 = P60 × P87
• 2×10²⁰⁰-763 : c152 = P67 × P86

Ignacio Santos

• 23×10²⁶⁶+13 : c210 = P40 × c171
• 23×10²⁷³+13 : c259 = P40 × c219
• 23×10²⁷⁷+13 : c236 = P39 × c198

January 25, 2022 2022 年 1 月 25 日

Bob Backstrom

• 5×10¹⁹⁷-739 : c172 = P56 × P116
• 74×10²⁰¹+439 : c169 = P70 × P99

Dmitry Domanov

• 5×10²³⁸-739 : c190 = P38 × c153
• 5×10²⁵⁴-739 : c196 = P41 × P156

January 24, 2022 2022 年 1 月 24 日

ivelive

• 8×10²⁹⁷+5 : c267 = P30 × c237
• 8×10²⁹⁸+5 : c271 = P37 × c234

Bob Backstrom

• 2×4×10²⁰²-2299 : c179 = P56 × P123
• 2×10¹⁹⁹+1349 : c174 = P56 × P118
• 2×2×10¹⁹⁶+2239 : c173 = P67 × P107

Eric Jeancolas

• 2×10²⁰²+1349 : c124 = P41 × P83
• 2×2×10¹⁸²+1339 : c165 = P59 × P106

Dmitry Domanov

• 5×10²⁷⁶-739 : c192 = P37 × P155
• 5×10²⁴⁵-739 : c219 = P37 × P183
• 49×10³⁴⁹-49 : c316 = P46 × c270
• 49×10³⁵⁹-49 : c333 = P50 × c284

ebina

• 5×10¹⁶⁵-18×10⁸²-59 : c155 = P65 × P91

Ignacio Santos

• 5×10¹⁵⁷-18×10⁷⁸-59 : c139 = P46 × P94
• 65×10²⁹⁵+439 : c200 = P41 × P160

January 23, 2022 2022 年 1 月 23 日

Eric Jeancolas

• 2×2×10¹⁸¹+1339 : c145 = P65 × P80
• 2×10¹⁹⁴-763 : c163 = P63 × P100
• 2×4×10¹⁹⁵-2299 : c167 = P47 × P120
• 2×10¹⁹⁷-763 : c159 = P53 × P106

Bob Backstrom

• 2×10²⁰³+3149 : c200 = P47 × P54 × P101
• 2×4×10²⁰²-1399 : c200 = P71 × P130

Dmitry Domanov

• 5×10²¹²-379 : c211 = P33 × P178
• 5×10²⁹¹-739 : c222 = P40 × P183

ivelive

• 5×10¹⁶¹-18×10⁸⁰-59 : c135 = P40 × P47 × P48
• 5×10¹⁹⁵-18×10⁹⁷-59 : c184 = P44 × P140
• 5×10¹⁹⁷-18×10⁹⁸-59 : c170 = P35 × P135

Ignacio Santos

• 35×10²⁵¹-539 : c215 = P41 × c175
• 35×10²⁷⁸-539 : c232 = P43 × P189
• 65×10²⁷⁸+439 : c211 = P42 × P169

January 22, 2022 2022 年 1 月 22 日

Dmitry Domanov

• 5×10²⁸¹-379 : c249 = P36 × c213
• 5×10²⁷⁷-379 : c221 = P36 × c185
• 5×10²⁴²-379 : c178 = P33 × P145
• 5×10²⁸⁸-379 : c221 = P39 × c182
• 5×10²²⁹-379 : c198 = P40 × P159

Bob Backstrom

• 2×10²⁰²+3149 : c183 = P55 × P129
• 5×10²⁰¹-199 : c174 = P44 × P130

Ignacio Santos

• 65×10²⁶²+439 : c218 = P37 × P181
• 65×10²⁶³+439 : c205 = P34 × c172
• 65×10²⁷⁸+439 : c247 = P37 × c211
• 65×10²⁹⁵+439 : c235 = P35 × c200
• 2×10²⁰²+1349 : c164 = P41 × c124

January 21, 2022 2022 年 1 月 21 日

Ignacio Santos

• 83×10²⁶⁰+619 : c185 = P39 × c147
• 83×10²⁶²+619 : c198 = P35 × P163
• 83×10²⁶⁴+619 : c221 = P37 × c184
• 83×10²⁶⁵+619 : c242 = P39 × c203
• 83×10²⁸⁶+619 : c255 = P44 × c211
• 83×10²⁹⁷+619 : c256 = P38 × P219
• 85×10²⁶⁸+419 : c159 = P44 × P116

Bob Backstrom

• 5×10²⁰²-739 : c193 = P70 × P124

Dmitry Domanov

• 5×10²⁰⁴-379 : c192 = P35 × c158
• 5×10²⁰⁵-379 : c174 = P34 × P140
• 5×10²⁰⁹-379 : c195 = P38 × c158

Eric Jeancolas

• 2×10¹⁸⁸-763 : c137 = P68 × P70

January 20, 2022 2022 年 1 月 20 日

Eric Jeancolas

• 2×4×10²⁴⁶-3199 : c135 = P67 × P69
• 5×10¹⁹⁴-379 : c156 = P53 × P103
• 2×2×10¹⁸²-479 : c165 = P68 × P97
• 2×10¹⁸¹-763 : c138 = P67 × P72
• 5×10¹⁹⁸-379 : c190 = P72 × P118
• 2×10¹⁸³-763 : c132 = P46 × P87

Dmitry Domanov

• 5×10²⁵⁷-199 : c226 = P43 × P183
• 5×10²⁵³-199 : c209 = P37 × P173
• 5×10²⁵⁴-199 : c225 = P36 × c190

Bob Backstrom

• 2×4×10¹⁹⁸-3199 : c177 = P39 × P138
• 2×10¹⁹⁷+1349 : c177 = P58 × P120
• 2×10²⁰³-763 : c196 = P63 × P133

Erik Branger

• 47×10²²²+439 : c180 = P60 × P120

Ignacio Santos

• 2×4×10²⁰²-3199 : c202 = P46 × P156

January 19, 2022 2022 年 1 月 19 日

Eric Jeancolas

• 2×4×10²¹⁹-3199 : c132 = P46 × P87
• 5×10¹⁹²-379 : c145 = P60 × P85
• 2×2×10¹⁸⁴-479 : c152 = P54 × P98

Bob Backstrom

• 5×10²⁰¹-739 : c178 = P55 × P123
• 2×10¹⁹⁹+3149 : c178 = P62 × P116

Dmitry Domanov

• 5×10²⁹⁵-199 : c244 = P39 × c205
• 5×10²⁸⁴-199 : c222 = P36 × c186

Ignacio Santos

• 85×10²⁵²+419 : c212 = P38 × P175
• 85×10²⁵⁶+419 : c253 = P41 × c213
• 85×10²⁶¹+419 : c230 = P39 × c192
• 85×10²⁶⁸+419 : c194 = P35 × c159
• 85×10²⁸⁰+419 : c266 = P43 × c223

January 18, 2022 2022 年 1 月 18 日

Eric Jeancolas

• 5×10¹⁸⁹-379 : c138 = P54 × P84
• 2×2×10¹⁸⁰-479 : c143 = P55 × P88

Bob Backstrom

• 2×2×10²⁰¹-479 : c188 = P75 × P113
• 2×4×10¹⁹⁶-3199 : c185 = P45 × P141
• 13×10²⁶⁷-49 : c222 = P42 × P181
• 2×10¹⁹⁷+3149 : c182 = P69 × P114

Youcef Lemsafer

• 106×10²⁷⁵-13 : c230 = P47 × c183

Ignacio Santos

• 71×10²⁶⁶-179 : c236 = P37 × c199
• 71×10²⁶⁷-179 : c191 = P40 × P152
• 2×10¹⁸⁰+2249 : c168 = P60 × P108
• 2×4×10¹⁸⁰-1399 : c145 = P41 × P48 × P57

January 17, 2022 2022 年 1 月 17 日

Eric Jeancolas

• 5×10¹⁸⁷-379 : c166 = P60 × P106
• 5×10²⁰²-199 : c115 = P54 × P62

Bob Backstrom

• 5×10¹⁹⁸-739 : c193 = P45 × P59 × P90
• 2×10¹⁹⁶-763 : c193 = P55 × P139
• 2×2×10²⁰⁰+1339 : c192 = P85 × P108
• 67×10²⁶⁷-49 : c222 = P43 × P179

Dmitry Domanov

• 2×4×10²¹⁹-3199 : c166 = P35 × c132
• 2×4×10²¹⁵-3199 : c180 = P39 × P141

Erik Branger

• 5×10²²²+3 : c178 = P59 × P120

Ignacio Santos

• 2×2×10¹⁷⁹-479 : c145 = P44 × P102
• 2×10¹⁸²+2249 : c132 = P40 × P92

January 16, 2022 2022 年 1 月 16 日

Bob Backstrom

• 2×10¹⁹⁵-763 : c170 = P65 × P106
• 2×10¹⁹⁰+1349 : c170 = P45 × P125
• 2×2×10¹⁷⁹+1339 : c170 = P50 × P120
• 2×10²⁰¹+1349 : c193 = P85 × P109

Eric Jeancolas

• 2×10²¹⁵+3149 : c144 = P59 × P86
• 5×10¹⁸⁶-379 : c136 = P61 × P75

Dmitry Domanov

• 59×10²⁸²-239 : c283 = P47 × P236
• 2×4×10²²⁴-3199 : c209 = P34 × c176
• 61×10²⁸⁷-439 : c288 = P50 × c238
• 2×4×10²⁴⁶-3199 : c179 = P44 × c135

Ignacio Santos

• 154×10²⁵²-19 : c243 = P38 × P205
• 154×10²⁸⁵-19 : c241 = P37 × c205
• 154×10²⁹⁸-19 : c271 = P39 × P233
• 5×10²⁰²-199 : c153 = P38 × c115
• 2×2×10¹⁷⁷-479 : c126 = P46 × P81

January 15, 2022 2022 年 1 月 15 日

Bob Backstrom

• 2×2×10¹⁷⁹+2239 : c172 = P60 × P113
• 2×10¹⁹³+3149 : c171 = P41 × P62 × P70
• 2×10¹⁸⁴+3149 : c171 = P74 × P97
• 5×10¹⁷⁹-739 : c171 = P59 × P112

Eric Jeancolas

• 2×10¹⁹⁸+2249 : c131 = P64 × P67
• 2×2×10²²⁸+1339 : c145 = P54 × P91
• 2×4×10¹⁹³-2299 : c155 = P47 × P108

Ignacio Santos

• 127×10²⁶⁵-19 : c212 = P45 × P168
• 127×10²⁷³-19 : c211 = P37 × c175
• 127×10²⁸²-19 : c231 = P41 × c190
• 127×10²⁸⁶-19 : c261 = P44 × P217
• 127×10²⁹³-19 : c246 = P37 × c210
• 127×10²⁹⁵-19 : c280 = P41 × c240
• 2×4×10²⁰⁰-2299 : c153 = P38 × P116
• 172×10²⁷⁵-19 : c256 = P41 × c215
• 172×10²⁹¹-19 : c282 = P43 × c239
• 172×10²⁹⁶-19 : c265 = P40 × P225
• 2×10¹⁷⁸+3149 : c155 = P49 × P107
• 5×10¹⁷⁸-379 : c147 = P42 × P106
• 2×10¹⁷⁹+1349 : c139 = P45 × P94
• 2×2×10¹⁷⁸+2239 : c141 = P43 × P98

Dmitry Domanov

• 71×10²⁸²+19 : c283 = P46 × c238

January 14, 2022 2022 年 1 月 14 日

Bob Backstrom

• 2×4×10¹⁸⁰-3199 : c176 = P45 × P48 × P83
• 2×2×10¹⁸⁰+1339 : c176 = P80 × P96
• 2×2×10¹⁹²-479 : c174 = P56 × P118
• 2×2×10¹⁸⁵-1379 : c172 = P62 × P110
• 2×2×10¹⁸⁴+1339 : c172 = P75 × P97

Dmitry Domanov

• 2×4×10²⁵⁷-2299 : c223 = P38 × P185
• 2×4×10²²¹-2299 : c178 = P38 × P141
• 2×4×10²¹⁰-2299 : c179 = P39 × P141
• 2×4×10²⁰⁰-2299 : c188 = P36 × c153
• 2×4×10²⁴³-2299 : c210 = P40 × c171
• 2×4×10²²³-2299 : c219 = P37 × c182
• 2×4×10²⁸³-3199 : c229 = P38 × c192

Ignacio Santos

• 2×10¹⁷⁷+1349 : c136 = P44 × P92
• 2×10¹⁷⁸+2249 : c136 = P46 × P91
• 2×2×10¹⁷⁷-1379 : c124 = P47 × P77

January 13, 2022 2022 年 1 月 13 日

ebina

• 2×2×10²¹⁸+2239 : c212 = P35 × c177
• 5×10²²⁷-739 : c226 = P73 × P154
• 5×10²¹¹-199 : c201 = P51 × P66 × P86
• 5×10²²⁷-199 : c170 = P47 × P123
• 2×2×10²¹⁵-1379 : c176 = P48 × P128

Eric Jeancolas

• 2×4×10¹⁸⁷-2299 : c142 = P53 × P90
• 2×4×10¹⁸⁹-2299 : c142 = P44 × P99

Bob Backstrom

• 2×2×10¹⁹⁴+2239 : c185 = P50 × P60 × P75
• 2×10¹⁹⁴+3149 : c179 = P62 × P117

Dmitry Domanov

• 2×4×10²⁶²-2299 : c236 = P37 × c199
• 2×4×10²⁵¹-2299 : c244 = P41 × c204
• 2×4×10²⁷¹-2299 : c228 = P42 × c187

Ignacio Santos

• 2×4×10²⁰⁸-1399 : c126 = P46 × P81
• 136×10²⁵⁹-19 : c243 = P40 × c203

Erik Branger

• 5×10²²²-8 : c203 = P57 × P146

January 12, 2022 2022 年 1 月 12 日

Dmitry Domanov

• 2×4×10²²⁹-1399 : c165 = P38 × P128
• 49×10³¹¹-49 : c294 = P57 × P237
• 2×4×10¹⁹⁶-1399 : c162 = P39 × P124
• 2×4×10²⁰⁸-1399 : c164 = P38 × c126

Bob Backstrom

• 2×2×10¹⁹⁴-479 : c191 = P76 × P116
• 53×10²²⁹-89 : c218 = P45 × P173
• 2×10¹⁹⁵+2249 : c186 = P87 × P99
• 83×10²⁸⁴-29 : c217 = P41 × P176
• 2×2×10¹⁹⁵-1379 : c185 = P59 × P127

Eric Jeancolas

• 2×4×10¹⁸⁰-2299 : c161 = P57 × P105
• 2×4×10¹⁸⁴-2299 : c144 = P53 × P91

Ignacio Santos

• 2×10¹⁹⁶+1349 : c161 = P37 × P125
• 2×10¹⁹⁸+2249 : c169 = P39 × c131
• 2×10¹⁹⁸+3149 : c156 = P34 × P123

ebina

• 2×2×10²²⁹+1339 : c229 = P36 × c193

January 11, 2022 2022 年 1 月 11 日

Bob Backstrom

• 5×10¹⁸⁵-379 : c179 = P40 × P140
• 2×2×10¹⁸⁹-1379 : c176 = P44 × P62 × P71
• 2×10¹⁸²-763 : c176 = P51 × P126

Dmitry Domanov

• 68×10²⁸⁹-419 : c290 = P48 × c243
• 2×2×10²⁷⁸-1379 : c263 = P39 × P225
• 2×2×10²⁹⁷-1379 : c265 = P36 × c229
• 2×2×10²⁸²-479 : c249 = P42 × c208
• 2×4×10²⁴⁷-1399 : c209 = P42 × c167
• 2×4×10²⁵¹-1399 : c235 = P37 × c199
• 2×4×10²²¹-1399 : c201 = P38 × P163

Eric Jeancolas

• 5×10²³⁷-739 : c140 = P66 × P74

Erik Branger

• 7×10²²¹-3 : c197 = P82 × P116
• 7×10²²¹+9 : c171 = P58 × P113

Ignacio Santos

• 2×2×10¹⁷⁵+1339 : c129 = P58 × P71
• 2×2×10¹⁷⁵-1379 : c139 = P50 × P90
• 2×10¹⁷⁶+1349 : c154 = P46 × P109
• 2×4×10¹⁷⁶-1399 : c129 = P47 × P83

January 10, 2022 2022 年 1 月 10 日

Bob Backstrom

• 2×2×10¹⁹¹-479 : c181 = P62 × P119
• 2×2×10¹⁸⁶-1379 : c181 = P52 × P61 × P68
• 2×10¹⁸³+2249 : c181 = P47 × P55 × P80
• 2×2×10¹⁸⁸-1379 : c180 = P47 × P134
• 5×10¹⁸⁸-379 : c180 = P55 × P125
• 2×4×10¹⁸⁶-1399 : c179 = P54 × P125

Dmitry Domanov

• 2×2×10²⁷⁸+1339 : c267 = P40 × P228
• 2×2×10²⁷⁸-479 : c275 = P35 × c240
• 2×2×10²⁹⁶-1379 : c92 = P44 × P49
• 2×10²¹²+2249 : c102 = P51 × P51
• 2×2×10²⁷³-479 : c265 = P38 × P228

Eric Jeancolas

• 2×4×10¹⁷⁵-2299 : c152 = P55 × P98
• 2×4×10¹⁷⁶-2299 : c138 = P65 × P73
• 2×4×10¹⁷⁸-2299 : c153 = P45 × P54 × P55

Ignacio Santos

• 2×2×10¹⁹⁴+1339 : c181 = P35 × c147
• 2×2×10¹⁹⁵+2239 : c187 = P40 × P148
• 2×10²⁹²+3149 : c136 = P45 × P91

January 9, 2022 2022 年 1 月 9 日

Bob Backstrom

• 2×10¹⁸⁹+3149 : c188 = P62 × P127
• 2×10¹⁹¹+2249 : c185 = P63 × P123
• 2×2×10¹⁸⁴-1379 : c184 = P88 × P96
• 2×10¹⁸⁹+1349 : c183 = P51 × P66 × P68

Eric Jeancolas

• 2×4×10²¹¹-1399 : c136 = P54 × P83
• 2×10²⁷³+2249 : c138 = P51 × P88
• 5×10²¹⁸-199 : c138 = P50 × P89
• 5×10²⁵²-739 : c137 = P42 × P95

Ignacio Santos

• 2×4×10²¹⁷-2299 : c147 = P42 × P105
• 2×10²¹²+2249 : c146 = P44 × c102
• 2×2×10²⁹⁶-1379 : c139 = P48 × c92
• 2×10²⁰⁴-763 : c140 = P48 × P93

January 8, 2022 2022 年 1 月 8 日

Dmitry Domanov

• 2×2×10²⁹¹+1339 : c275 = P37 × c238
• 2×2×10²⁹⁷-479 : c253 = P35 × c219
• 2×2×10²⁸⁹+2239 : c273 = P40 × c234

Bob Backstrom

• 2×2×10¹⁹³-1379 : c192 = P61 × P131
• 5×10¹⁹²-739 : c190 = P72 × P119
• 5×10¹⁹¹-739 : c190 = P93 × P97

Ignacio Santos

• 5×10¹⁸⁹-739 : c144 = P40 × P105
• 2×2×10¹⁹⁰-479 : c151 = P36 × P116
• 2×10¹⁹²+2249 : c181 = P40 × c141
• 2×10¹⁹⁴+2249 : c144 = P41 × P104
• 2×2×10¹⁹³-479 : c158 = P34 × P125
• 2×10²⁹²+3149 : c182 = P46 × c136

Eric Jeancolas

• 2×10²¹¹-763 : c136 = P60 × P76
• 5×10²¹⁵-739 : c138 = P60 × P78

January 7, 2022 2022 年 1 月 7 日

Bob Backstrom

• 2×2×10¹⁷¹-1379 : c149 = P47 × P103
• 5×10¹⁶⁹-739 : c148 = P50 × P98
• 5×10¹⁷²-739 : c144 = P40 × P46 × P59
• 2×2×10¹⁷¹+2239 : c141 = P68 × P73
• 2×10¹⁶⁸+3149 : c141 = P65 × P76
• 2×10¹⁷²-763 : c140 = P62 × P78
• 2×2×10¹⁶⁹-479 : c137 = P65 × P72
• 2×10¹⁷⁰-763 : c135 = P46 × P89
• 2×10¹⁶⁹-763 : c131 = P59 × P73
• 2×4×10¹⁶⁸-1399 : c131 = P43 × P89
• 2×2×10¹⁶⁸-1379 : c129 = P61 × P68
• 2×2×10¹⁶⁸+1339 : c123 = P59 × P65
• 2×2×10¹⁸⁷-1379 : c184 = P85 × P99

Dmitry Domanov

• 2×2×10²⁷⁸+2239 : c269 = P36 × c234
• 2×2×10²⁷⁷+2239 : c258 = P41 × c217
• 2×2×10²⁷²+2239 : c254 = P37 × c217
• 2×2×10²⁵⁴+2239 : c247 = P41 × c206

Eric Jeancolas

• 2×4×10¹⁸³-2299 : c125 = P47 × P79
• 2×4×10¹⁹⁴-2299 : c134 = P50 × P84
• 5×10²¹⁹-379 : c134 = P48 × P87
• 2×4×10¹⁹⁸-2299 : c135 = P56 × P79
• 5×10¹⁹⁶-739 : c134 = P65 × P69
• 2×2×10²²²+2239 : c136 = P57 × P79

Ignacio Santos

• 71×10²⁵⁰-89 : c169 = P60 × P110
• 2×2×10²⁶³-1379 : c174 = P41 × P133

January 6, 2022 2022 年 1 月 6 日

Bob Backstrom

• 2×2×10¹⁷⁰+2239 : c156 = P47 × P47 × P63
• 2×10¹⁸⁸+3149 : c187 = P44 × P144
• 2×4×10¹⁸⁷-3199 : c187 = P42 × P58 × P88
• 17×10²⁴⁴-23 : c197 = P37 × c160
• 17×10²¹⁶-23 : c199 = P42 × c157
• 53×10²⁵⁰-89 : c200 = P35 × c166
• 83×10²⁵⁴-29 : c206 = P41 × c166
• 35×10²³⁰-89 : c208 = P42 × c167
• 71×10²⁵⁰-89 : c214 = P45 × c169
• 5×10¹⁸⁵-739 : c170 = P39 × P132
• 2×10¹⁶⁸-763 : c155 = P63 × P92
• 2×4×10¹⁷³-3199 : c154 = P46 × P47 × P62
• 2×2×10¹⁶⁸-479 : c150 = P51 × P100
• 2×2×10¹⁸⁷-479 : c186 = P69 × P117

Eric Jeancolas

• 2×2×10²³⁶+1339 : c133 = P60 × P74
• 2×10²⁴⁸+3149 : c133 = P56 × P77
• 5×10¹⁹⁹-739 : c133 = P40 × P93
• 5×10²⁰²-239 : c149 = P54 × P96
• 2×2×10¹⁹⁵-479 : c133 = P61 × P73
• 2×10¹⁸⁵+2249 : c110 = P43 × P67
• 2×2×10¹⁸¹-1379 : c112 = P49 × P64
• 2×2×10¹⁸⁰-1379 : c114 = P43 × P72

Dmitry Domanov

• 2×2×10²⁹⁶+2239 : c281 = P38 × c243
• 5×10²⁸⁰-739 : c268 = P36 × c233

Ignacio Santos

• 2×4×10¹⁸⁴-2299 : c181 = P38 × c144
• 2×10¹⁸⁷+2249 : c152 = P40 × P112
• 2×2×10¹⁸¹-479 : c143 = P41 × P103
• 2×2×10¹⁸⁸+1339 : c161 = P37 × P124
• 2×2×10¹⁸⁸-479 : c188 = P37 × P152
• 5×10¹⁸⁹-739 : c180 = P36 × c144

January 5, 2022 2022 年 1 月 5 日

Bob Backstrom

• 2×10¹⁷⁴-763 : c164 = P63 × P102
• 2×2×10¹⁶⁸+2239 : c164 = P58 × P106
• 2×4×10¹⁷⁴-2299 : c163 = P41 × P122
• 2×2×10¹⁷³-1379 : c163 = P46 × P117
• 2×2×10¹⁶⁹+2239 : c162 = P43 × P49 × P71
• 2×4×10¹⁶⁹-2299 : c160 = P77 × P83
• 2×10¹⁷⁰+1349 : c160 = P47 × P114
• 2×10¹⁶⁹+1349 : c159 = P79 × P80
• 2×2×10¹⁷⁴+1339 : c158 = P42 × P44 × P73
• 2×10¹⁷²+1349 : c156 = P56 × P101

Eric Jeancolas

• 2×10²³⁰+2249 : c131 = P53 × P78
• 2×10²⁰³-119 : c149 = P61 × P89
• 10²⁶⁰+899 : c149 = P63 × P86

Ignacio Santos

• 2×4×10¹⁶⁶-3199 : c147 = P43 × P104
• 2×4×10¹⁶⁷-2299 : c124 = P35 × P89
• 2×4×10²³²-2299 : c149 = P42 × P108
• 2×10¹⁷⁹-763 : c177 = P34 × P144
• 2×4×10¹⁷⁹-3199 : c126 = P40 × P86
• 2×2×10¹⁸⁰-1379 : c149 = P35 × c114
• 2×10¹⁸¹+3149 : c125 = P40 × P86
• 2×10¹⁸¹-763 : c178 = P41 × c138
• 2×2×10¹⁸¹-1379 : c148 = P36 × c112
• 2×2×10¹⁸¹-479 : c180 = P38 × c143
• 2×10¹⁸³-763 : c168 = P36 × c132
• 2×2×10¹⁸³+1339 : c165 = P41 × P124
• 2×4×10¹⁸³-2299 : c164 = P39 × c125
• 2×10¹⁸⁴-763 : c178 = P37 × P141
• 2×10¹⁸⁵+2249 : c145 = P36 × c110
• 2×2×10¹⁸⁵+2239 : c166 = P38 × P129

Dmitry Domanov

• 5×10²⁹⁹-379 : c269 = P42 × c227
• 2×2×10¹⁷¹-479 : c104 = P47 × P57
• 5×10²⁹⁶-739 : c275 = P42 × c234
• 5×10²⁸⁹-739 : c276 = P38 × c239
• 5×10²⁸²-199 : c266 = P40 × c227
• 5×10²⁷⁰-379 : c265 = P40 × P225

NFS@Home + Greg Childers

• 96×10²³⁷-1 : c239 = P107 × P133

January 4, 2022 2022 年 1 月 4 日

Bob Backstrom

• 2×2×10¹⁷⁷+1339 : c169 = P56 × P113
• 2×2×10¹⁷⁵-479 : c169 = P83 × P87
• 2×4×10¹⁷⁰-1399 : c169 = P59 × P110
• 2×10¹⁷⁰+3149 : c169 = P66 × P103
• 2×2×10¹⁷⁸+1339 : c168 = P83 × P86
• 2×4×10¹⁶⁹-3199 : c168 = P45 × P123
• 2×10¹⁶⁹+3149 : c168 = P57 × P111
• 2×2×10¹⁶⁹+1339 : c167 = P72 × P95
• 2×10¹⁷⁵+3149 : c166 = P51 × P115
• 2×10¹⁷²+2249 : c166 = P67 × P99
• 2×4×10¹⁶⁸-3199 : c166 = P44 × P122

Eric Jeancolas

• 5×10²¹⁵-199 : c129 = P57 × P73
• 7×10²⁰¹+9 : c149 = P64 × P85
• 25×10²⁰¹+119 : c149 = P60 × P90
• 2×2×10¹⁹⁸-479 : c129 = P47 × P82

Ignacio Santos

• 2×4×10¹⁶²-2299 : c133 = P47 × P87
• 2×10¹⁶⁴+1349 : c129 = P39 × P91
• 2×2×10¹⁶⁴+2239 : c127 = P35 × P39 × P54
• 2×10¹⁶⁵+1349 : c156 = P45 × P48 × P63
• 2×4×10¹⁶⁴-2299 : c139 = P62 × P78
• 2×2×10¹⁶⁵-479 : c150 = P43 × P107
• 2×4×10¹⁷¹-3199 : c134 = P34 × P101
• 2×4×10¹⁷²-3199 : c134 = P42 × P92
• 2×2×10¹⁷¹-479 : c142 = P39 × c104
• 2×2×10¹⁶⁵-1379 : c155 = P37 × P44 × P75
• 2×4×10¹⁶⁵-2299 : c130 = P63 × P67
• 2×4×10¹⁶⁵-1399 : c146 = P72 × P75
• 2×10¹⁶⁶+2249 : c143 = P54 × P89
• 2×10¹⁶⁶+3149 : c143 = P37 × P107
• 2×10¹⁶⁶-763 : c153 = P67 × P86
• 2×2×10¹⁷⁰-479 : c159 = P41 × P118

Dmitry Domanov

• 5×10²⁷⁸-199 : c261 = P42 × c219

January 3, 2022 2022 年 1 月 3 日

Bob Backstrom

• 2×2×10¹⁶⁶-479 : c118 = P49 × P70
• 2×10¹⁶⁴-763 : c122 = P54 × P68
• 17×10²¹³-23 : c210 = P42 × P70 × P98
• 2×10¹⁹⁹-763 : c130 = P54 × P76
• 2×4×10¹⁷⁵-3199 : c175 = P86 × P90
• 5×10¹⁷⁵-379 : c174 = P62 × P113
• 2×10¹⁶⁴+3149 : c122 = P45 × P77
• 2×4×10¹⁷⁴-1399 : c172 = P47 × P125
• 2×4×10¹⁷⁷-2299 : c177 = P58 × P120
• 5×10¹⁷⁴-739 : c174 = P70 × P104
• 2×4×10¹⁷²-1399 : c171 = P46 × P125

Ignacio Santos

• 2×2×10¹⁵⁷-479 : c145 = P56 × P90
• 2×2×10¹⁵⁸+1339 : c143 = P37 × P106
• 2×2×10¹⁷⁶-1379 : c135 = P38 × P98
• 2×10¹⁷⁷+1349 : c174 = P39 × c136
• 2×4×10¹⁵⁸-2299 : c141 = P51 × P91
• 2×10¹⁵⁹-763 : c148 = P49 × P100
• 5×10¹⁵⁹-739 : c149 = P41 × P108
• 2×2×10¹⁵⁹+1339 : c139 = P47 × P92
• 2×10¹⁶⁰+3149 : c149 = P73 × P76
• 2×2×10¹⁵⁹+2239 : c154 = P62 × P93
• 2×2×10¹⁶⁰+1339 : c143 = P43 × P101
• 2×2×10¹⁶⁰-479 : c149 = P38 × P48 × P65
• 2×4×10¹⁶⁰-2299 : c144 = P38 × P106
• 2×4×10¹⁶⁰-3199 : c158 = P72 × P86
• 2×10¹⁶¹+2249 : c149 = P44 × P106
• 2×2×10¹⁶¹+1339 : c157 = P46 × P112
• 2×10¹⁶²-763 : c144 = P38 × P107
• 2×4×10¹⁶¹-2299 : c152 = P46 × P47 × P60
• 2×2×10¹⁶²-479 : c147 = P59 × P89

Dmitry Domanov

• 2×10²⁸⁸-763 : c261 = P40 × c221
• 2×10²⁶⁷-763 : c265 = P37 × c228

January 2, 2022 2022 年 1 月 2 日

Bob Backstrom

• 2×2×10¹⁵⁹-479 : c115 = P46 × P69
• 2×4×10¹⁶⁶-2299 : c116 = P56 × P60
• 2×2×10¹⁹⁹-479 : c117 = P54 × P63
• 2×4×10¹⁶⁵-3199 : c117 = P39 × P79
• 2×10¹⁸¹+1349 : c121 = P60 × P61
• 2×4×10¹⁷³-2299 : c121 = P54 × P68
• 2×2×10²⁴⁴-479 : c126 = P59 × P67

Eric Jeancolas

• 2×2×10²⁶⁵+2239 : c122 = P54 × P69
• 2×10²⁰³+1349 : c118 = P57 × P61
• 5×10²⁰⁷-199 : c119 = P59 × P60

Dmitry Domanov

• 89×10²⁶⁹-89 : c205 = P42 × c164

Ignacio Santos

• 2×4×10¹⁵⁵-3199 : c130 = P64 × P67
• 2×10¹⁶⁵+3149 : c162 = P34 × P58 × P71
• 2×4×10¹⁵⁵-2299 : c138 = P41 × P47 × P50
• 2×10¹⁵⁶-763 : c152 = P64 × P89
• 5×10¹⁵⁶-379 : c136 = P36 × P101
• 2×2×10¹⁵⁶+2239 : c130 = P51 × P80
• 2×4×10¹⁵⁶-3199 : c151 = P49 × P103
• 2×2×10¹⁵⁷+2239 : c141 = P46 × P95
• 2×2×10¹⁷⁸-479 : c149 = P40 × P110

January 1, 2022 2022 年 1 月 1 日

Bob Backstrom

• 5×10¹⁶²-379 : c126 = P60 × P67
• 2×4×10²⁰⁹-2299 : c127 = P49 × P79
• 2×4×10¹⁶⁷-1399 : c128 = P54 × P75
• 2×2×10¹⁷⁰+1339 : c128 = P42 × P86
• 62×10²⁰³-719 : c170 = P82 × P88
• 2×2×10¹⁷⁴-479 : c174 = P46 × P129
• 2×10²⁰⁵-763 : c115 = P40 × P76

Eric Jeancolas

• 2×2×10¹⁸³-479 : c119 = P47 × P72
• 2×10²⁰⁶+1349 : c114 = P47 × P68
• 89×10²⁹¹-89 : c117 = P48 × P69

Dmitry Domanov

• 2×2×10³⁰⁰+1339 : c225 = P38 × c187
• 2×10³⁰⁰+1349 : c281 = P40 × c242
• 2×4×10²⁹⁶-2299 : c276 = P37 × c239

Ignacio Santos

• 2×4×10¹⁵³-1399 : c121 = P60 × P62
• 2×4×10¹⁵³-3199 : c137 = P60 × P77
• 2×10¹⁵⁴-763 : c116 = P52 × P64
• 5×10¹⁵⁴-379 : c119 = P47 × P73
• 2×10¹⁵⁵+3149 : c114 = P45 × P70
• 5×10¹⁵⁵-739 : c131 = P50 × P82
• 2×2×10¹⁵⁴-479 : c150 = P39 × P112
• 2×4×10¹⁵⁴-2299 : c121 = P59 × P62
• 2×4×10¹⁵⁴-1399 : c124 = P52 × P72
• 5×10²⁰³-739 : c105 = P46 × P60
• 2×10²⁷⁶+2249 : c116 = P41 × P76

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