Factorization results contributed November, 2008 2008 年 11 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

• November 30, 2008 2008 年 11 月 30 日
  • Wataru Sakai
  • Sinkiti Sibata
  • Serge Batalov
  • Robert Backstrom
  • Erik Branger
  • Jo Yeong Uk
  • Luigi Morelli
• November 29, 2008 2008 年 11 月 29 日
  • Serge Batalov
  • Robert Backstrom
  • Sinkiti Sibata
  • Erik Branger
• November 28, 2008 2008 年 11 月 28 日
  • Robert Backstrom
  • Tyler Cadigan
  • Jo Yeong Uk
  • Sinkiti Sibata
  • Serge Batalov
  • Erik Branger
• November 27, 2008 2008 年 11 月 27 日
  • Robert Backstrom
  • Sinkiti Sibata
  • Serge Batalov
  • Jo Yeong Uk
  • Markus Tervooren
• November 26, 2008 2008 年 11 月 26 日
  • Serge Batalov
  • Robert Backstrom
  • Sinkiti Sibata
  • Jo Yeong Uk
  • Erik Branger
• November 25, 2008 2008 年 11 月 25 日
  • Serge Batalov
  • Sinkiti Sibata
  • Robert Backstrom
  • Erik Branger
• November 24, 2008 2008 年 11 月 24 日
  • Serge Batalov
  • Wataru Sakai
  • Robert Backstrom
  • Sinkiti Sibata
  • Jo Yeong Uk
• November 23, 2008 2008 年 11 月 23 日
  • Robert Backstrom
  • Sinkiti Sibata
  • Kenji Ibusuki
  • Wataru Sakai
  • Serge Batalov
  • Markus Tervooren
  • Erik Branger
  • Jo Yeong Uk
• November 22, 2008 2008 年 11 月 22 日
  • Jo Yeong Uk
  • Robert Backstrom
  • Serge Batalov
  • Wataru Sakai
  • Sinkiti Sibata
  • Markus Tervooren
  • matsui
• November 21, 2008 2008 年 11 月 21 日
  • Serge Batalov
  • Sinkiti Sibata
  • Robert Backstrom
  • Erik Branger
• November 20, 2008 2008 年 11 月 20 日
  • Robert Backstrom
  • Sinkiti Sibata
  • Serge Batalov
  • Jo Yeong Uk
• November 19, 2008 2008 年 11 月 19 日
  • Robert Backstrom
  • Sinkiti Sibata
  • Serge Batalov
  • matsui
  • Erik Branger
  • Jo Yeong Uk
• November 18, 2008 2008 年 11 月 18 日
  • Sinkiti Sibata
  • Serge Batalov
  • Jo Yeong Uk
  • Robert Backstrom
  • Erik Branger
• November 17, 2008 2008 年 11 月 17 日
  • Robert Backstrom
  • Serge Batalov
  • Jo Yeong Uk
  • Sinkiti Sibata
• November 16, 2008 2008 年 11 月 16 日
  • Serge Batalov
  • Sinkiti Sibata
  • Justin Card
  • Robert Backstrom
  • matsui
  • Jo Yeong Uk
• November 15, 2008 2008 年 11 月 15 日
  • Sinkiti Sibata
  • Robert Backstrom
  • Erik Branger
  • Serge Batalov
• November 14, 2008 2008 年 11 月 14 日
  • Sinkiti Sibata
  • Serge Batalov
  • Tyler Cadigan
• November 13, 2008 2008 年 11 月 13 日
  • Robert Backstrom
  • Serge Batalov
  • Sinkiti Sibata
  • Wataru Sakai
  • Jo Yeong Uk
• November 12, 2008 2008 年 11 月 12 日
  • Jo Yeong Uk
  • Serge Batalov
• November 11, 2008 2008 年 11 月 11 日
  • Serge Batalov
  • Sinkiti Sibata
• November 10, 2008 2008 年 11 月 10 日
  • Sinkiti Sibata
  • Erik Branger
  • Robert Backstrom
  • Tyler Cadigan
• November 9, 2008 2008 年 11 月 9 日
  • Justin Card
  • matsui
  • Serge Batalov
  • Sinkiti Sibata
• November 8, 2008 2008 年 11 月 8 日
  • Serge Batalov
  • Sinkiti Sibata
• November 7, 2008 2008 年 11 月 7 日
  • Serge Batalov
  • Jo Yeong Uk
  • Sinkiti Sibata
• November 6, 2008 2008 年 11 月 6 日
  • Sinkiti Sibata
  • Erik Branger
  • Jo Yeong Uk
  • Serge Batalov
• November 5, 2008 2008 年 11 月 5 日
  • Serge Batalov
• November 4, 2008 2008 年 11 月 4 日
  • Robert Backstrom
  • Sinkiti Sibata
  • Wataru Sakai
  • matsui
  • Serge Batalov
• November 3, 2008 2008 年 11 月 3 日
  • Sinkiti Sibata
  • Jo Yeong Uk
  • Serge Batalov
• November 2, 2008 2008 年 11 月 2 日
  • Serge Batalov
  • Sinkiti Sibata
• November 1, 2008 2008 年 11 月 1 日
  • Serge Batalov
  • Sinkiti Sibata
  • Wataru Sakai
  • Jo Yeong Uk

November 30, 2008 2008 年 11 月 30 日

Wataru Sakai

• 29×10¹⁹⁸+619 : c199 = P34 × P80 × P86

Sinkiti Sibata

• 11×10¹⁴⁸-173 : c102 = P43 × P60
• 11×10¹⁴⁷-173 : c138 = P55 × P83
• 11×10¹¹⁴+13 : c87 = P44 × P44
• 11×10¹¹²+13 : c89 = P37 × P53
• 11×10¹¹⁶+13 : c113 = P43 × P71
• 34×10¹⁵⁰-619 : c90 = P43 × P48
• 11×10¹⁴³-173 : c112 = P37 × P75
• 11×10¹²³+13 : c115 = P49 × P66
• 11×10¹⁵²-173 : c143 = P35 × P108
• 34×10¹²²-619 : c122 = P54 × P68
• 34×10¹¹⁹-619 : c87 = P36 × P51
• 11×10¹⁰⁵+13 : c94 = P40 × P54
• 34×10¹³²-619 : c115 = P37 × P79
• 34×10¹²⁵-619 : c126 = P32 × P95
• 34×10¹²⁹-619 : c119 = P36 × P84

Serge Batalov

• 34×10¹⁵¹-619 : c95 = P40 × P55
• 11×10¹¹⁰+13 : c99 = P39 × P61
• 34×10¹⁴⁷-619 : c141 = P36 × P105
• 11×10¹⁴²+13 : c141 = P34 × P108
• 11×10¹⁵⁹+13 : c159 = P34 × P125
• 11×10¹⁷⁴+13 : c162 = P34 × P129
• 34×10²⁰³-619 : c168 = P33 × P136
• 34×10¹⁹²-619 : c174 = P28 × c146
• 11×10¹⁸⁶+13 : c164 = P37 × c128
• 34×10¹⁹⁸-619 : c187 = P32 × P155
• 34×10²⁰⁴-619 : c190 = P31 × c160

Robert Backstrom

• 11×10¹¹¹+13 : c83 = P40 × P43
• 34×10¹³³-619 : c83 = P41 × P43
• 34×10¹⁰⁹-619 : c105 = P33 × P73
• 34×10¹⁴⁰-619 : c109 = P35 × P75

Erik Branger

• 11×10¹¹⁹+13 : c101 = P50 × P52
• 34×10¹²⁴-619 : c115 = P48 × P68
• 34×10¹²⁶-619 : c114 = P56 × P58

Jo Yeong Uk

• 11×10¹³⁹+13 : c97 = P48 × P50
• 5×10¹⁹⁸-173 : c199 = P90 × P110
• 11×10¹²⁸+13 : c117 = P45 × P73

Luigi Morelli

• 34×10¹⁷⁴-439 : c123 = P53 × P70

November 29, 2008 2008 年 11 月 29 日

Serge Batalov

• 11×10¹⁹⁷-173 : c183 = P38 × P145
• 11×10¹⁶²-173 : c121 = P33 × P88
• 11×10¹³⁶-173 : c136 = P36 × P45 × P56
• 11×10¹⁷⁷-173 : c173 = P31 × P142
• 11×10¹⁷¹-173 : c160 = P38 × c122
• 11×10¹⁷⁵-173 : c143 = P40 × P104
• 11×10¹⁶⁵-173 : c115 = P32 × P83
• 11×10¹⁵⁶-173 : c141 = P39 × P103
• 11×10¹⁵⁹-173 : c159 = P43 × P116

Robert Backstrom

• 11×10¹²⁸-173 : c128 = P64 × P65
• 10¹⁷⁰+113 : c147 = P47 × P101
• 11×10¹⁴⁹-173 : c145 = P52 × P93

Sinkiti Sibata

• 29×10¹⁶¹-119 : c119 = P40 × P80
• 11×10¹³⁵-173 : c121 = P54 × P68
• 11×10¹²⁰-173 : c97 = P49 × P49
• 11×10¹³⁴-173 : c99 = P42 × P58
• 11×10¹⁴⁴-173 : c133 = P61 × P72
• 11×10¹⁶⁰-173 : c98 = P45 × P53
• 11×10¹⁴²-173 : c101 = P36 × P65
• 11×10¹⁴⁰-173 : c115 = P46 × P70
• 11×10¹⁴⁵-173 : c123 = P55 × P69

Erik Branger

• 11×10¹³²-173 : c131 = P59 × P72

November 28, 2008 2008 年 11 月 28 日

Robert Backstrom

• 32×10¹⁵¹+139 : c135 = P56 × P79
• 28×10¹⁷⁹+719 : c178 = P78 × P101
• 11×10¹⁰¹-173 : c94 = P32 × P63
• 11×10¹¹⁶-173 : c89 = P35 × P54
• 11×10¹³⁰-173 : c91 = P35 × P57

Tyler Cadigan

• 43×10¹⁹²-79 : c139 = P54 × P86

Jo Yeong Uk

• 32×10¹⁵⁷+319 : c111 = P47 × P64

Sinkiti Sibata

• 32×10¹⁵⁸+319 : c137 = P57 × P81
• 32×10¹⁵⁵+139 : c116 = P41 × P75

Serge Batalov

• 32×10¹⁷²+139 : c158 = P46 × P112
• 34×10¹⁷¹-79 : c146 = P67 × P80
• 11×10¹³⁷-173 : c96 = P30 × P67
• 11×10¹⁷⁸-173 : c144 = P32 × P113
• 11×10¹¹⁹-173 : c101 = P33 × P69
• 11×10¹⁹⁹-173 : c184 = P33 × P152
• 11×10¹²⁶-173 : c112 = P53 × P60
• 11×10¹⁸³-173 : c182 = P31 × P152

Erik Branger

• 32×10¹⁴⁹+319 : c129 = P44 × P86
• 11×10¹⁰⁹-173 : c108 = P32 × P76
• 11×10¹¹⁰-173 : c98 = P32 × P66
• 11×10¹²³-173 : c107 = P42 × P65

November 27, 2008 2008 年 11 月 27 日

Robert Backstrom

• 9×10¹⁶⁷+1 : c143 = P55 × P88
• 29×10¹⁶²-119 : c120 = P53 × P67
• 29×10¹⁶⁶-119 : c132 = P62 × P71

Sinkiti Sibata

• 32×10¹⁴⁷+139 : c124 = P38 × P42 × P45
• 32×10¹³⁸+139 : c116 = P35 × P82
• 32×10¹⁴³+139 : c130 = P54 × P77
• 32×10¹⁴⁴+139 : c136 = P53 × P84

Serge Batalov

• 32×10¹⁶¹+319 : c141 = P66 × P76
• 8×10¹⁸⁵+9 : c121 = P38 × P84
• 32×10¹⁶³+319 : c136 = P52 × P84

Jo Yeong Uk

• 32×10¹⁵⁹+319 : c107 = P42 × P65

Markus Tervooren

• 32×10¹⁶⁰+319 : c125 = P41 × P84

November 26, 2008 2008 年 11 月 26 日

Serge Batalov

• 32×10¹⁵⁰+139 : c144 = P52 × P92
• 32×10¹⁷⁶+319 : c171 = P40 × P131
• 32×10¹⁵⁹+139 : c151 = P61 × P91
• 32×10¹⁵³+139 : c140 = P42 × P98
• 32×10²⁰⁰+319 : c159 = P31 × P128
• 32×10²⁰¹+139 : c200 = P35 × P165
• 32×10¹⁸⁹+139 : c187 = P39 × P148
• 32×10¹⁶⁸+139 : c166 = P68 × P98

Robert Backstrom

• 32×10¹⁵⁸+139 : c94 = P40 × P54
• 31×10¹⁶⁷+419 : c159 = P47 × P112
• 31×10¹⁶²+419 : c133 = P64 × P69
• 14×10¹⁷⁵-239 : c171 = P43 × P128

Sinkiti Sibata

• 32×10¹³⁴+139 : c116 = P49 × P67
• 32×10¹³⁷+139 : c96 = P44 × P52
• 32×10¹²⁶+319 : c119 = P51 × P68
• 32×10¹³⁷+319 : c128 = P44 × P85
• 32×10¹³¹+319 : c115 = P42 × P73
• 32×10¹⁴²+319 : c118 = P37 × P82

Jo Yeong Uk

• 28×10¹⁶⁵+719 : c120 = P35 × P85
• 32×10¹⁵⁰+319 : c113 = P43 × P70

Erik Branger

• 32×10¹⁴⁸+139 : c93 = P38 × P55

November 25, 2008 2008 年 11 月 25 日

Serge Batalov

• 7×10¹⁷⁴+9 : c133 = P34 × P100
• 32×10¹³³+139 : c82 = P40 × P42
• 32×10¹²⁰+139 : c83 = P30 × P54
• 32×10¹⁵⁷+139 : c87 = P31 × P57
• 32×10¹¹²+319 : c112 = P36 × P76
• 32×10²⁰⁴+319 : c204 = P32 × P173
• 32×10¹¹⁰+139 : c92 = P31 × P61
• 32×10¹⁹¹+139 : c103 = P32 × P72
• 32×10¹⁰⁷+139 : c98 = P27 × P72
• 32×10¹³⁸+319 : c99 = P35 × P65
• 32×10¹⁰⁶+319 : c100 = P28 × P73
• 32×10¹¹⁶+319 : c100 = P43 × P58
• 32×10¹³²+139 : c100 = P30 × P71
• 32×10¹⁴⁹+139 : c120 = P32 × P34 × P55
• 32×10¹⁴¹+319 : c101 = P31 × P35 × P36
• 32×10¹⁴⁸+139 : c122 = P30 × c93
• 32×10¹⁴⁵+139 : c135 = P30 × c106
• 32×10¹⁷⁶+139 : c125 = P36 × P89
• 32×10¹⁵⁸+139 : c128 = P35 × c94
• 32×10¹³⁶+319 : c125 = P40 × c85
• 32×10²⁰⁵+139 : c177 = P33 × c145
• 32×10¹⁶⁶+139 : c143 = P33 × P110
• 32×10¹⁵⁵+139 : c146 = P30 × c116
• 32×10²⁰²+319 : c167 = P33 × P135
• 32×10¹⁸⁹+319 : c141 = P33 × P108
• 32×10¹⁷⁰+139 : c163 = P35 × c128
• 32×10¹⁷¹+319 : c158 = P33 × P126
• 32×10¹⁹⁰+139 : c161 = P36 × c125
• 32×10¹⁴³+319 : c134 = P53 × P81
• 32×10¹⁸⁵+319 : c176 = P31 × P145
• 32×10¹⁸⁶+319 : c133 = P36 × P97
• 32×10¹⁸¹+319 : c171 = P39 × P132
• 32×10¹⁸⁵+139 : c171 = P33 × c139
• 32×10¹⁰⁵+139 : c92 = P35 × P58
• 32×10¹⁷⁰+139 : c128 = P29 × P99

Sinkiti Sibata

• 32×10¹¹¹+319 : c88 = P36 × P52
• 32×10¹¹³+139 : c89 = P42 × P47
• 31×10¹⁴⁷+419 : c138 = P38 × P50 × P50
• 32×10¹²²+319 : c90 = P35 × P56
• 32×10¹¹⁹+139 : c84 = P33 × P51
• 32×10¹²⁰+319 : c116 = P31 × P86
• 32×10¹²⁴+139 : c101 = P41 × P61
• 32×10¹¹³+319 : c104 = P31 × P73
• 9×10²¹³-1 : c106 = P30 × P77
• 32×10¹²⁵+319 : c107 = P42 × P65
• 32×10¹²⁸+319 : c94 = P46 × P48
• 32×10¹²⁷+319 : c108 = P50 × P58
• 32×10¹²⁶+139 : c103 = P32 × P72
• 32×10¹³⁰+139 : c108 = P37 × P72

Robert Backstrom

• 32×10¹⁴⁵+139 : c106 = P34 × P72
• 32×10¹⁶⁶-419 : c155 = P40 × P115

Erik Branger

• 8×10¹⁶⁸+3 : c136 = P50 × P87
• 32×10¹³⁶+319 : c85 = P35 × P50

November 24, 2008 2008 年 11 月 24 日

Serge Batalov

• 22×10¹⁹⁸-139 : c196 = P40 × c157
• 7×10¹⁶⁸+3 : c140 = P67 × P73
• 17×10¹⁷⁰+19 : c141 = P37 × P104
• 26×10¹⁹⁸-719 : c136 = P34 × P102
• 4×10¹⁷²+7 : c143 = P45 × P99
• 14×10¹⁷⁰-239 : c148 = P28 × c120
• 67×10¹⁶⁹+239 : c140 = P44 × P96
• 8×10²⁰⁹+19 : c132 = P33 × P100
• 25×10¹⁷⁶-439 : c172 = P35 × P138
• 29×10¹⁹³+439 : c119 = P55 × P64

Wataru Sakai

• 13×10¹⁸¹+419 : c179 = P50 × P130

Robert Backstrom

• 29×10¹⁵⁶+619 : c120 = P40 × P80
• 31×10¹⁵²+239 : c142 = P62 × P81
• 32×10¹⁶⁰-419 : c116 = P57 × P60
• 31×10¹⁶¹+419 : c144 = P50 × P95
• 32×10¹⁶⁵-419 : c133 = P45 × P88
• 31×10¹⁶⁵+419 : c116 = P44 × P72
• 31×10¹⁵⁸+419 : c137 = P51 × P87

Sinkiti Sibata

• 32×10¹⁴⁸-419 : c121 = P52 × P70
• 31×10¹⁵¹+419 : c140 = P50 × P91

Jo Yeong Uk

• 29×10¹⁶¹+439 : c130 = P41 × P44 × P46

November 23, 2008 2008 年 11 月 23 日

Robert Backstrom

• 32×10¹⁶⁸-419 : c162 = P40 × P123
• 32×10¹⁶²-419 : c110 = P47 × P64
• 29×10¹⁶⁸+439 : c165 = P51 × P114
• 32×10¹⁵⁶-419 : c117 = P36 × P82
• 32×10¹⁵⁵-419 : c114 = P49 × P66

Sinkiti Sibata

• 31×10¹⁴³+419 : c123 = P46 × P77
• 31×10¹⁴²+419 : c134 = P51 × P84
• 31×10¹⁴⁶+419 : c134 = P30 × P50 × P55

Kenji Ibusuki

• 29×10¹⁹¹-119 : c192 = P78 × P114

Wataru Sakai

• 7×10¹⁹⁹-619 : c199 = P54 × P73 × P74

Serge Batalov

• 9×10²¹³-1 : c138 = P33 × c106
• 32×10¹⁹⁶-419 : c138 = P43 × P95
• 32×10¹⁸⁰-419 : c174 = P37 × c137
• 31×10¹⁷³+419 : c149 = P32 × P117
• 32×10¹⁷⁸-419 : c135 = P33 × P103
• 31×10¹⁹¹+419 : c190 = P32 × P159
• 31×10¹⁹⁹+239 : c177 = P36 × P141
• 32×10¹⁸⁷-419 : c181 = P36 × P145
• 31×10¹⁹²+239 : c159 = P41 × P118
• 32×10¹⁹⁴-419 : c136 = P35 × P102
• 31×10¹⁹⁴+239 : c177 = P35 × c143
• 32×10²⁰³-419 : c164 = P33 × P132
• 32×10¹⁷⁰-419 : c169 = P60 × P109
• 26×10¹⁷⁵-719 : c166 = P34 × c132
• 29×10¹⁶⁶+439 : c119 = P33 × P86
• 17×10¹⁶⁸+19 : c130 = P38 × P92

Markus Tervooren

• 79×10¹⁶⁸-79 : c144 = P61 × P83

Erik Branger

• 31×10¹²⁹+239 : c115 = P40 × P75

Jo Yeong Uk

• 32×10¹⁴⁷-419 : c118 = P36 × P82

November 22, 2008 2008 年 11 月 22 日

Jo Yeong Uk

• 29×10¹⁵⁷+439 : c118 = P52 × P66

Robert Backstrom

• 32×10¹⁴⁰-419 : c102 = P47 × P55
• 31×10¹⁴⁰+419 : c104 = P37 × P67
• 31×10¹³⁹+419 : c96 = P41 × P55
• 31×10¹⁴⁸+419 : c133 = P28 × P33 × P73
• 31×10¹⁷⁶+239 : c112 = P52 × P60
• 31×10¹²⁷+419 : c117 = P43 × P74
• 31×10¹⁵⁷+239 : c153 = P39 × P115
• 29×10¹⁶³+619 : c152 = P59 × P94
• 31×10¹³¹+419 : c104 = P46 × P59
• 31×10¹⁵⁹+419 : c138 = P33 × P105

Serge Batalov

• 32×10¹³⁹-419 : c140 = P51 × P89
• 32×10¹⁵⁷-419 : c150 = P29 × P121
• 32×10¹⁵⁰-419 : c147 = P57 × P91
• 32×10¹⁵²-419 : c145 = P30 × P30 × P86
• 31×10¹⁶⁶+419 : c163 = P69 × P95

Wataru Sakai

• 9×10¹⁸⁵+7 : c180 = P89 × P92
• 29×10¹⁷⁷-119 : c178 = P46 × P52 × P80

Sinkiti Sibata

• 32×10¹¹⁵-419 : c101 = P40 × P62
• 32×10¹³⁸-419 : c131 = P43 × P88
• 31×10¹⁴¹+419 : c125 = P36 × P90

Markus Tervooren

• 7×10¹⁶⁷-9 : c132 = P44 × P88

matsui

• 26×10¹⁹⁴-719 : c193 = P32 × P162

November 21, 2008 2008 年 11 月 21 日

Serge Batalov

• 29×10¹⁵⁸-119 : c130 = P37 × P94
• 8×10²⁴¹+19 : c156 = P30 × P126
• 4×10²³⁴+1 : c152 = P35 × P117
• 31×10¹⁵³+239 : c142 = P43 × P99
• 32×10¹²⁷-419 : c81 = P33 × P48
• 31×10¹¹¹+419 : c107 = P50 × P57
• 31×10¹²⁴+419 : c89 = P29 × P60
• 32×10¹⁹⁷-419 : c146 = P32 × P114
• 31×10¹¹⁸+419 : c97 = P39 × P58
• 31×10¹¹⁷+419 : c98 = P35 × P64
• 31×10¹⁹⁹+419 : c172 = P30 × P143
• 32×10¹³⁵-419 : c113 = P30 × P31 × P52

Sinkiti Sibata

• 31×10¹³²+239 : c104 = P42 × P63
• 31×10¹⁴⁴+239 : c107 = P45 × P63
• 32×10¹²⁶-419 : c124 = P57 × P68
• 32×10¹¹⁹-419 : c105 = P34 × P71
• 32×10¹⁴⁹-419 : c94 = P41 × P53
• 32×10¹²⁵-419 : c125 = P49 × P76
• 32×10¹³²-419 : c131 = P32 × P35 × P65
• 32×10¹²¹-419 : c95 = P46 × P49
• 32×10¹²³-419 : c84 = P42 × P43
• 32×10¹¹¹-419 : c101 = P51 × P51
• 31×10¹¹⁶+419 : c89 = P38 × P51

Robert Backstrom

• 29×10¹⁵²+439 : c114 = P39 × P75
• 29×10¹⁵¹+439 : c116 = P54 × P62
• 31×10¹⁶⁶+239 : c113 = P38 × P76
• 29×10¹⁵⁴+619 : c142 = P66 × P76
• 32×10¹⁵¹-419 : c87 = P39 × P49
• 28×10¹⁵⁹+719 : c144 = P68 × P77
• 31×10¹⁴⁹+419 : c97 = P38 × P60
• 31×10¹⁰⁵+419 : c95 = P36 × P59
• 32×10¹⁰⁷-419 : c99 = P43 × P57
• 32×10¹⁵⁴-419 : c104 = P37 × P67
• 29×10¹⁶⁰+619 : c116 = P46 × P71
• 32×10¹²⁸-419 : c99 = P45 × P54

Erik Branger

• 31×10¹¹²+419 : c106 = P48 × P59
• 31×10¹⁵³+419 : c88 = P41 × P47
• 31×10¹²⁵+419 : c110 = P42 × P68

November 20, 2008 2008 年 11 月 20 日

Robert Backstrom

• 25×10²⁰⁵-439 : c206 = P68 × P139
• 31×10¹⁴¹+239 : c97 = P43 × P54
• 28×10¹⁵⁵+719 : c118 = P58 × P60
• 29×10¹⁵⁹-119 : c138 = P32 × P107

Sinkiti Sibata

• 31×10¹³⁵+239 : c120 = P55 × P65
• 31×10¹³⁶+239 : c121 = P48 × P74
• 29×10¹⁸⁶+619 : c112 = P39 × P74

Serge Batalov

• 31×10¹⁷⁶+239 : c147 = P36 × c112

Jo Yeong Uk

• 31×10¹⁵¹+239 : c145 = P51 × P94

November 19, 2008 2008 年 11 月 19 日

Robert Backstrom

• 29×10¹⁵⁷+619 : c147 = P37 × P110

Sinkiti Sibata

• 29×10¹⁵³+619 : c122 = P43 × P79
• 31×10¹¹⁵+239 : c93 = P43 × P50
• 31×10¹⁶⁷+239 : c90 = P43 × P47
• 31×10¹²³+239 : c107 = P52 × P55
• 31×10¹⁰⁸+239 : c94 = P38 × P57
• 31×10¹²⁰+239 : c95 = P44 × P51
• 31×10¹³⁹+239 : c108 = P52 × P57
• 31×10¹²⁸+239 : c125 = P56 × P69
• 31×10¹⁴²+239 : c96 = P32 × P64
• 31×10¹¹⁶+239 : c92 = P44 × P49
• 31×10¹³¹+239 : c122 = P47 × P75

Serge Batalov

• 31×10¹⁵⁶+239 : c87 = P32 × P56
• 31×10¹⁰⁵+239 : c98 = P49 × P49
• 31×10¹⁰⁹+239 : c95 = P41 × P54
• 31×10¹³⁸+239 : c124 = P33 × P92
• 31×10¹⁴¹+239 : c130 = P34 × c97
• 31×10¹⁵⁵+239 : c133 = P29 × P105
• 31×10¹²⁷+239 : c126 = P32 × P94
• 31×10¹⁷⁷+239 : c158 = P35 × P123
• 31×10¹⁷³+239 : c154 = P32 × c122
• 31×10¹⁵⁴+239 : c136 = P32 × P105
• 31×10¹⁶⁴+239 : c106 = P29 × P77
• 31×10¹⁸⁴+239 : c174 = P33 × P141
• 31×10¹⁹⁰+239 : c174 = P39 × P135
• 28×10¹⁷¹+719 : c167 = P67 × P101

matsui

• 5×10¹⁸⁵-7 : c180 = P37 × c144

Erik Branger

• 29×10¹⁵⁵+439 : c116 = P53 × P63

Jo Yeong Uk

• 29×10¹⁵⁸+439 : c114 = P44 × P70

November 18, 2008 2008 年 11 月 18 日

Sinkiti Sibata

• 29×10¹³⁷+619 : c112 = P43 × P70
• 29×10¹⁴²+439 : c104 = P35 × P70

Serge Batalov

• 29×10¹⁶⁷+619 : c162 = P45 × P118
• 28×10¹⁷⁰+719 : c166 = P41 × c126
• 29×10¹⁶⁴+619 : c154 = P39 × P52 × P64
• 29×10¹⁶²+439 : c148 = P47 × P101

Jo Yeong Uk

• 8×10¹⁸⁵+9 : c163 = P43 × c121
• 8×10¹⁷²+9 : c147 = P42 × P42 × P64

Robert Backstrom

• 28×10¹⁵²+719 : c149 = P46 × P47 × P57

Erik Branger

• 35×10¹⁸¹-539 : c124 = P43 × P82

November 17, 2008 2008 年 11 月 17 日

Robert Backstrom

• 29×10¹⁷²+439 : c97 = P36 × P62
• 29×10¹⁴⁰+439 : c123 = P58 × P65

Serge Batalov

• 29×10¹⁸¹+439 : c105 = P43 × P63
• 29×10¹⁵⁶+439 : c143 = P37 × P107

Jo Yeong Uk

• 29×10¹³⁴+439 : c135 = P41 × P94
• 29×10¹⁴⁶+619 : c113 = P40 × P73

Sinkiti Sibata

• 28×10¹⁵³+719 : c103 = P38 × P66
• 29×10¹⁴⁹+619 : c123 = P51 × P72
• 29×10¹⁴¹+619 : c113 = P35 × P37 × P42

November 16, 2008 2008 年 11 月 16 日

Serge Batalov

• 29×10¹⁷⁰+439 : c171 = P34 × c137
• 29×10²⁰⁰+439 : c195 = P35 × c161
• 29×10¹⁵¹+439 : c147 = P32 × c116
• 29×10¹⁵⁴+439 : c147 = P29 × P118
• 29×10¹⁵⁷+439 : c147 = P30 × c118
• 29×10¹⁵²+439 : c142 = P29 × c114
• 29×10¹⁵⁹+619 : c142 = P33 × P109
• 29×10¹⁵⁰+439 : c149 = P68 × P82
• 29×10¹⁹²+619 : c155 = P37 × P118
• 29×10¹⁸⁴+619 : c151 = P32 × P120
• 29×10¹⁷³+439 : c142 = P39 × P104
• 29×10¹⁵⁸+439 : c147 = P33 × c114
• 29×10¹⁵⁸+619 : c145 = P32 × P113
• 29×10¹⁸⁷+439 : c171 = P30 × c141
• 29×10¹⁶⁴+439 : c149 = P31 × P119
• 29×10¹⁷⁹+439 : c134 = P31 × P103

Sinkiti Sibata

• 29×10¹⁰³+619 : c88 = P32 × P57
• 29×10¹²²+439 : c90 = P37 × P53
• 29×10¹³⁰+439 : c124 = P37 × P87
• 29×10¹⁰³+439 : c92 = P46 × P47
• 29×10¹²⁹+619 : c117 = P33 × P84
• 29×10¹¹³+439 : c91 = P37 × P55
• 29×10¹²³+619 : c93 = P35 × P58
• 29×10¹⁴⁵+619 : c129 = P34 × P34 × P62
• 29×10¹²⁵+439 : c96 = P38 × P58
• 29×10¹³²+619 : c112 = P46 × P67
• 29×10¹³³+439 : c94 = P43 × P51
• 29×10¹³³+619 : c105 = P26 × P37 × P43
• 29×10¹⁵²-119 : c115 = P40 × P76
• 29×10¹²⁶+619 : c107 = P37 × P70
• 29×10¹²⁷+439 : c106 = P52 × P54
• 29×10¹¹⁹+619 : c110 = P55 × P56

Justin Card

• 29×10¹¹²+619 : c101 = P44 × P57

Robert Backstrom

• 29×10¹¹¹+619 : c85 = P36 × P49
• 29×10¹³⁶+619 : c85 = P35 × P50
• 29×10¹¹⁶+439 : c99 = P41 × P58
• 29×10¹³¹+439 : c131 = P31 × P37 × P63

matsui

• 5×10¹⁷⁷-419 : c172 = P38 × P134

Jo Yeong Uk

• 29×10¹¹⁵+619 : c107 = P43 × P65
• 29×10¹²⁸+439 : c106 = P39 × P68
• 29×10¹⁴³+619 : c96 = P47 × P49
• 29×10¹³⁰+619 : c121 = P29 × P92
• 29×10¹²⁹+439 : c100 = P42 × P59
• 29×10¹⁴⁵+439 : c121 = P32 × P89
• 29×10¹³¹+619 : c121 = P41 × P81

November 15, 2008 2008 年 11 月 15 日

Sinkiti Sibata

• 28×10¹⁴⁷+719 : c113 = P33 × P36 × P45
• 28×10¹⁷²+539 : c141 = P41 × P101
• 29×10¹⁴²-119 : c99 = P35 × P65
• 29×10¹⁵³-119 : c137 = P60 × P78

Robert Backstrom

• 29×10¹¹⁶+619 : c82 = P34 × P48
• 29×10¹⁰⁷+439 : c83 = P40 × P44

Erik Branger

• 29×10¹⁰⁹+619 : c86 = P42 × P44
• 29×10¹²¹+439 : c87 = P39 × P48
• 29×10¹³⁹+619 : c90 = P36 × P54

Serge Batalov

• 29×10¹⁷⁶+619 : c106 = P29 × P78
• 29×10¹⁰⁴+619 : c102 = P29 × P35 × P40

November 14, 2008 2008 年 11 月 14 日

Sinkiti Sibata

• 29×10¹⁴¹-119 : c135 = P41 × P95
• 29×10¹²⁹-119 : c114 = P35 × P79
• 29×10¹³⁰-119 : c117 = P50 × P67
• 29×10¹³⁹-119 : c132 = P54 × P79
• 29×10¹³¹-119 : c114 = P47 × P67
• 29×10¹³⁸-119 : c108 = P53 × P55
• 28×10¹⁴⁴+719 : c130 = P64 × P66
• 29×10¹⁶⁷-119 : c93 = P33 × P61
• 28×10¹³³+719 : c102 = P49 × P54

Serge Batalov

• 8×10¹⁸²-179 : c158 = P31 × c128
• 10¹⁸⁶+113 : c162 = P33 × c130
• 8×10¹⁸⁵-3 : c164 = P31 × P134
• 14×10¹⁸⁶-419 : c163 = P29 × P134

Tyler Cadigan

• 71×10¹⁷¹-179 : c161 = P51 × P53 × P57

November 13, 2008 2008 年 11 月 13 日

Robert Backstrom

• 29×10¹²⁷-119 : c87 = P41 × P46
• 28×10¹⁸²+719 : c88 = P40 × P49
• 29×10¹¹⁵-119 : c97 = P42 × P55
• 29×10¹¹⁸-119 : c101 = P50 × P52

Serge Batalov

• 28×10¹⁰⁹+719 : c103 = P34 × P70
• 29×10¹¹²-119 : c108 = P32 × P76
• 29×10¹⁵¹-119 : c139 = P34 × P106
• 29×10¹⁶²-119 : c150 = P30 × c120
• 29×10¹⁴⁷-119 : c138 = P59 × P79
• 28×10¹⁵⁶+719 : c80 = P37 × P44
• 29×10¹²⁰-119 : c104 = P47 × P57
• 28×10¹⁵⁰+719 : c140 = P43 × P46 × P52
• 28×10¹²¹+719 : c120 = P32 × P88
• 28×10¹²⁰+719 : c104 = P36 × P68
• 28×10¹⁸⁹+719 : c188 = P36 × P153
• 29×10¹⁷²-119 : c158 = P30 × P128
• 29×10¹⁶⁷-119 : c130 = P38 × c93
• 29×10¹⁷⁹-119 : c170 = P35 × P136
• 29×10¹¹⁷-119 : c104 = P37 × P67
• 28×10¹⁵⁷+719 : c153 = P44 × P110

Sinkiti Sibata

• 28×10¹³⁴+719 : c93 = P45 × P49
• 28×10¹²⁸+719 : c116 = P49 × P68
• 28×10¹²⁴+719 : c90 = P32 × P59
• 28×10¹⁴²+719 : c128 = P53 × P75
• 29×10¹²⁴-119 : c91 = P41 × P51
• 29×10¹¹⁶-119 : c116 = P37 × P79
• 28×10¹²⁹+719 : c120 = P57 × P63
• 28×10¹²⁶+719 : c116 = P33 × P84
• 29×10¹³⁷-119 : c91 = P37 × P54
• 29×10¹²⁸-119 : c116 = P57 × P60
• 29×10¹⁴⁵-119 : c113 = P39 × P75

Wataru Sakai

• 23×10¹⁹⁸-419 : c199 = P48 × P69 × P83

Jo Yeong Uk

• 28×10¹¹⁹+719 : c99 = P35 × P65
• 29×10¹⁵⁶-119 : c97 = P46 × P52

November 12, 2008 2008 年 11 月 12 日

Jo Yeong Uk

• 28×10¹⁶⁷+719 : c168 = P46 × P122
• 29×10¹⁰²-119 : c103 = P46 × P58
• 29×10¹⁰³-119 : c104 = P38 × P67
• 28×10¹⁰¹+719 : c99 = P40 × P60
• 28×10¹⁰²+719 : c101 = P42 × P59
• 28×10¹⁰⁶+719 : c98 = P47 × P51

Serge Batalov

• 29×10¹³²-119 : c94 = P32 × P62
• 79×10¹⁷⁹-79 : c176 = P55 × P121
• 28×10¹²⁵+719 : c103 = P33 × P70
• 28×10¹⁵⁶+719 : c109 = P29 × c80
• 28×10¹⁵⁴+719 : c130 = P34 × P96

November 11, 2008 2008 年 11 月 11 日

Serge Batalov

• 7×10¹⁸²+119 : c176 = P74 × P102
• 26×10¹⁷³+19 : c153 = P35 × P118
• 4×10¹⁸³-9 : c178 = P84 × P94

Sinkiti Sibata

• 4×10¹⁸⁷-9 : c128 = P46 × P83
• 28×10¹⁶⁹+539 : c161 = P34 × P127

November 10, 2008 2008 年 11 月 10 日

Sinkiti Sibata

• 28×10¹⁶⁷+539 : c127 = P48 × P80

Erik Branger

• 26×10¹⁶⁷+19 : c155 = P33 × P40 × P82

Robert Backstrom

• 16×10²⁰⁵-13 : c206 = P67 × P139

Tyler Cadigan

• 64×10¹⁹³-19 : c148 = P72 × P77

November 9, 2008 2008 年 11 月 9 日

Justin Card

• 10¹⁸³+179 : c170 = P63 × P108

matsui

• 2×10¹⁹³-9 : c186 = P34 × c153

Serge Batalov

• 6×10¹⁷³-1 : c112 = P53 × P59
• 28×10¹⁶⁶+539 : c155 = P38 × P118
• 5×10¹⁸¹-113 : c175 = P41 × P135
• 34×10¹⁷³-439 : c145 = P60 × P86

Sinkiti Sibata

• 28×10¹⁵³+539 : c107 = P52 × P56

November 8, 2008 2008 年 11 月 8 日

Serge Batalov

• 28×10¹⁶⁵+539 : c149 = P36 × P114
• 28×10¹⁴⁷+539 : c145 = P69 × P77
• 28×10¹⁶¹+539 : c162 = P71 × P91
• 28×10¹⁹⁵+539 : c163 = P33 × c130
• 28×10¹⁹⁴+539 : c194 = P33 × P161
• 28×10²⁰⁰+539 : c173 = P38 × P136
• 82×10¹⁷²+719 : c153 = P75 × P78

Sinkiti Sibata

• 28×10¹⁴⁰+539 : c115 = P46 × P70
• 28×10¹⁵²+539 : c115 = P36 × P38 × P42
• 28×10¹⁴²+539 : c109 = P43 × P66
• 28×10¹⁵⁴+539 : c122 = P59 × P63
• 28×10¹⁵⁷+539 : c101 = P44 × P57

November 7, 2008 2008 年 11 月 7 日

Serge Batalov

• 25×10²²³-13 : c222 = P55 × P55 × P114
• 6×10¹⁷³-1 : c150 = P38 × c112
• 28×10¹³³+539 : c88 = P35 × P53
• 28×10¹⁰⁷+539 : c108 = P40 × P69
• 28×10¹⁷⁹+539 : c102 = P33 × P69
• 28×10²⁰²+539 : c201 = P38 × c163
• 28×10¹⁷⁰+539 : c125 = P32 × P94
• 9×10¹⁷¹+1 : c148 = P71 × P77

Jo Yeong Uk

• 28×10¹¹⁵+539 : c103 = P31 × P72
• 28×10¹⁵²+539 : c144 = P30 × c115
• 28×10¹³⁵+539 : c101 = P49 × P53

Sinkiti Sibata

• 28×10¹¹²+539 : c90 = P33 × P58
• 28×10¹²⁰+539 : c118 = P52 × P66
• 28×10¹³⁶+539 : c112 = P49 × P63
• 28×10¹²⁸+539 : c120 = P50 × P70
• 28×10¹⁰⁸+539 : c94 = P46 × P48
• 28×10¹⁴³+539 : c125 = P51 × P75
• 28×10¹³⁸+539 : c119 = P39 × P81

November 6, 2008 2008 年 11 月 6 日

Sinkiti Sibata

• 10¹⁷⁴-73 : c136 = P58 × P79

Erik Branger

• 89×10¹⁶⁶+19 : c136 = P51 × P85

Jo Yeong Uk

• 7×10¹⁷¹+3 : c103 = P41 × P62

Serge Batalov

• 4×10²²²+1 : c223 = P46 × c177
• 19×10¹⁷⁰+539 : c138 = P54 × P84

November 5, 2008 2008 年 11 月 5 日

Serge Batalov

• 7×10¹⁷¹+3 : c139 = P37 × c103
• 17×10¹⁹⁷-719 : c187 = P31 × c156
• 11×10¹⁹⁶+439 : c182 = P31 × P152
• 8×10¹⁹⁴+9 : c161 = P34 × P127
• 13×10¹⁹²-13 : c184 = P33 × c151
• 13×10¹⁹³-13 : c177 = P28 × c150
• 23×10¹⁶⁷+139 : c146 = P44 × P102
• 8×10¹⁷³+73 : c162 = P74 × P88
• 3×10¹⁷⁰+7 : c141 = P69 × P73

November 4, 2008 2008 年 11 月 4 日

Robert Backstrom

• 4×10²⁰¹+1 : c109 = P40 × P70
• 64×10²⁰³-19 : c204 = P66 × P138

Sinkiti Sibata

• 4×10¹⁷¹-9 : c151 = P41 × P41 × P70

Wataru Sakai

• 23×10¹⁸⁸+139 : c187 = P82 × P106
• 8×10¹⁹⁷+19 : c197 = P54 × P144

matsui

• 26×10¹⁹⁴-539 : c191 = P38 × c153
• 5×10¹⁹⁵-239 : c191 = P33 × P159

Serge Batalov

• 8×10²⁴⁶+19 : c157 = P49 × P108
• 26×10¹⁶⁴+19 : c150 = P46 × P105

November 3, 2008 2008 年 11 月 3 日

Sinkiti Sibata

• 10¹⁶⁸-73 : c131 = P61 × P71
• 4×10²⁴⁸+1 : c109 = P54 × P56

Jo Yeong Uk

• 26×10¹⁶⁵+19 : c130 = P49 × P82
• 7×10¹⁷⁶-9 : c170 = P34 × P137
• 7×10¹⁸⁷-9 : c156 = P34 × c122

Serge Batalov

• 4×10²⁰⁹-9 : c184 = P35 × c149
• 4×10²²¹-9 : c212 = P37 × c175

November 2, 2008 2008 年 11 月 2 日

Serge Batalov

• 9×10²⁴⁹-1 : c172 = P36 × c136

Sinkiti Sibata

• 8×10¹⁷²+19 : c137 = P44 × P46 × P48

November 1, 2008 2008 年 11 月 1 日

Serge Batalov

• 8×10²³⁴+19 : c139 = P36 × P50 × P54

Sinkiti Sibata

• 26×10¹⁵⁵+19 : c142 = P42 × P46 × P56

Wataru Sakai

• 2×10¹⁹⁷+13 : c197 = P96 × P102

Jo Yeong Uk

• 8×10²⁴⁰+19 : c123 = P38 × P43 × P43
• 8×10²⁴³+19 : c121 = P36 × P42 × P44
• 8×10²³⁷+19 : c113 = P43 × P71

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