List of champions for factoring Cunningham numbers: Largest penultimate prime factor (ultimate factor shown also): 4342 p93*p118 10,211- The Cabal 4389 p86*p88 5,257+ Silverman/CWI First five holes in each table on October 3, 1999: 2,629- c133 2,641- c148 2,643- c188 2,671- c145 2,673- c151 2,613+ c185 2,617+ c170 2,619+ c186 2,631+ c144 2,637+ c147 2,1202L c178 2,1222L c161 2,1234M c144 2,1238L c160 2,1238M c145 2,608+ c149 2,632+ c177 2,688+ c137 2,704+ c164 2,712+ c177 3,379- c155 3,389- c168 3,397- c178 3,431- c198 3,437- c151 3,382+ c168 3,386+ c158 3,397+ c162 3,404+ c141 3,407+ c148 5,299- c131 5,307- c187 5,311- c173 5,313- c210 5,317- c194 5,272+ c167 5,283+ c168 5,284+ c152 5,286+ c168 5,289+ c156 6,251- c157 6,253- c153 6,257- c173 6,259- c159 6,263- c196 6,232+ c175 6,233+ c175 6,241+ c184 6,242+ c141 6,244+ c178 7,227- c192 7,233- c155 7,253- c177 7,257- c192 7,259- c175 7,211+ c128 7,214+ c150 7,232+ c171 7,233+ c150 7,239+ c176 10,197- c169 10,215- c166 10,217- c174 10,223- c211 10,227- c212 10,181+ c158 10,184+ c176 10,191+ c156 10,194+ c190 10,212+ c141 11,187- c143 11,191- c193 11,199- c173 11,203- c167 11,217- c171 11,181+ c155 11,188+ c184 11,190+ c150 11,196+ c127 11,197+ c205 12,173- c152 12,179- c190 12,193- c199 12,197- c212 12,199- c146 12,172+ c169 12,173+ c171 12,178+ c145 12,188+ c156 12,191+ c146 Here are the new wanted lists. TEN MOST WANTED TWENTY-FOUR MORE WANTED 1. 2,641- 6. 10,197- 2,643- 2,1234M 5,272+ 7,214+ 2. 2,629- 7. 10,181+ 2,617+ 2, 632+ 6,251- 11,187- 3. 2,613+ 8. 10,184+ 2,619+ 3, 379- 6,232+ 11,181+ 4. 2,608+ 9. 10,191+ 2,631+ 3, 389- 6,233+ 12,173- 5. 6,256+ 10. 10,194+ 2,1202L 3, 382+ 7,227- 12,172+ 2,1222L 3, 386+ 7,211+ 12,173+ Here are the new Fermat factors, k*2^n + 1 of F_m. m k n Discoverer 116 3433149787 120 Taura 579 63856313 581 Taura 642 52943971 644 Taura 8239 7473 8242 Prethaler & Gallot 49093 165 49095 Gallot 63679 169 63686 Dubner & Gallot 83861 99 83863 Gusev & Gallot 113547 39 113549 Renze & Gallot 382447 3 382449 Cosgrave & Gallot