List of champions for factoring Cunningham numbers: Quadratic sieve method: 3563 C116 3,329+ A. K. Lenstra & M. Manasse & al. with many computers 3138 C116 10,142+ A. K. Lenstra & M. Manasse & al. with many computers 3859 C116 7,194+ Georg Wambach & Alexandra Schmidt Special number field sieve: 3834 C138 10,163- CWI 3662 C162 12,151- FactOregon/CWI 3409 C158 2,523- A. K. Lenstra & D. Bernstein with two MasPars General number field sieve: 3787 C107 6,223+ M. Huizing (CWI) 3824 C106 12,157+ M. Huizing (CWI) 3663 C105 3,367- FactOregon/CWI Elliptic curve method: 3843 P47 5,256+ P. Montgomery (CWI) 3838 P43 2,1310M H. Kuwakado with an IBM-PC (Pentium) 3644 P42 2,603- S. S. Wagstaff, Jr with a MasPar 3335 P42 10,201- D. Rusin with a SparcStation First five holes in each table on February 16, 1996: 2,559- c142 2,569- c128 2,571- c164 2,581- c125 2,589- c148 2,569+ c144 2,587+ c151 2,589+ c150 2,611+ c123 2,613+ c185 2,934L c133 2,962M c116 2,974L c114 2,982L c108 2,982M c113 2,536+ c156 2,556+ c134 2,568+ c120 2,592+ c174 2,608+ c149 3,331- c139 3,349- c167 3,365- c111 3,371- c118 3,373- c178 3,332+ c157 3,344+ c144 3,347+ c162 3,349+ c144 3,353+ c146 5,233- c148 5,247- c147 5,253- c109 5,505M c109 5,515M c121 5,223+ c129 5,226+ c157 5,239+ c147 5,242+ c150 5,248+ c156 6,199- c122 6,209- c111 6,211- c108 6,221- c139 6,227- c150 6,206+ c146 6,209+ c130 6,218+ c130 6,224+ c137 6,226+ c148 7,187- c121 7,193- c109 7,199- c132 7,205- c136 7,211- c173 7,181+ c114 7,188+ c150 7,191+ c152 7,193+ c139 7,208+ c155 10,167- c142 10,169- c152 10,173- c154 10,187- c152 10,193- c140 10,163+ c139 10,166+ c164 10,167+ c118 10,169+ c145 10,172+ c168 11,151- c139 11,167- c128 11,169- c151 11,181- c177 11,187- c143 11,142+ c141 11,146+ c132 11,148+ c147 11,149+ c145 11,151+ c139 12,137- c123 12,139- c119 12,149- c156 12,161- c135 12,163- c120 12,148+ c156 12,151+ c128 12,163+ c132 12,167+ c180 12,169+ c132 Here is the list of smaller but needed numbers: 2,1890M c105 3,831L c105 2,625- c106 3,395+ c106 11,363L c106 2,717- c107 2,1662L c107