List of champions for factoring Cunningham numbers: Quadratic sieve method: 3903 C116 2,962M Scott Contini with many computers 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 General number field sieve: 3905 C108 10,193- M. Elkenbracht-Huizing + Peter Montgomery (CWI) 3787 C107 6,223+ M. Huizing (CWI) First five holes in each table on September 15, 1996: 2,569- c128 2,571- c164 2,581- c125 2,589- c148 2,593- c153 2,569+ c144 2,587+ c151 2,589+ c150 2,611+ c123 2,613+ c185 2,982M c113 2,986L c125 2,998L c123 2,998M c120 2,1006L c134 2,556+ c134 2,568+ c120 2,592+ c174 2,608+ c149 2,620+ c120 3,349- c167 3,365- c111 3,371- c118 3,373- c178 3,379- c155 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 5,239+ c147 5,242+ c150 5,248+ c156 5,251+ c165 5,254+ c121 6,211- c108 6,221- c139 6,227- c150 6,233- c166 6,241- c122 6,209+ c130 6,218+ c130 6,224+ c137 6,226+ c148 6,227+ c127 7,199- c132 7,205- c136 7,211- c173 7,188+ c150 7,191+ c152 7,193+ c139 7,208+ c155 7,209+ c141 10,167- c142 10,169- c152 10,173- c154 10,187- c152 10,197- c169 10,166+ c164 10,167+ c118 10,169+ c145 10,172+ c168 10,179+ c178 11,167- c128 11,169- c151 11,181- c177 11,187- c143 11,148+ c147 11,149+ c145 11,151+ c139 11,166+ c129 11,167+ c164 12,149- c156 12,161- c135 12,163- c120 12,173- c152 12,179- c190 12,148+ c156 12,151+ c128 12,163+ c132 12,167+ c180 12,169+ c132 Note: 3,365- was factored on September 16, 1996 and 10,167- is in progress. Here is the list of smaller but needed numbers: 6,211- c108 2,655- c109 2,685+ c109 5,253- c109 5,505M c109 2,855- c110 2,649+ c110 New Wanted Lists with Page 74 1. 2,569- 6. 10,169- 2. 2,556+ 7. 10,166+ Ten Most Wanted 3. 2,569+ 8. 6,209+ 4. 3,332+ 9. 7,188+ 5. 5,233- 10. 12,148+ 2,571- 3,349- 5,242+ 7,193+ 2,982M 3,344+ 5,248+ 10,167+ 2,986L 3,347+ 6,256+ 10,169+ 24 More Wanted 2,998L 3,349+ 7,199- 11,148+ 2,998M 5,247- 7,205- 11,149+ 2,568+ 5,239+ 7,191+ 12,149-