List of champions for factoring Cunningham numbers: Elliptic curve method: 4205 P49 2,1071+ P. Zimmermann 3843 P47 5,256+ P. Montgomery (CWI) 4178 P46 2,589- P. Montgomery (CWI) Largest penultimate prime factor (ultimate factor shown also): 3980 p80*p87 3,349- NFSNET 4057 p75*p105 12,167+ CWI First five holes in each table on July 29, 1998: 2,601- c170 2,611- c163 2,617- c171 2,619- c170 2,629- c174 2,587+ c151 2,611+ c123 2,613+ c185 2,617+ c170 2,619+ c186 2,1138L c164 2,1174L c172 2,1186L c147 2,1198L c147 2,1202L c178 2,592+ c174 2,608+ c149 2,628+ c141 2,632+ c177 2,644+ c119 3,373- c178 3,379- c155 3,389- c168 3,397- c178 3,431- c198 3,349+ c144 3,358+ c118 3,361+ c164 3,362+ c172 3,374+ c153 5,299- c131 5,307- c187 5,575M c122 5,595M c135 5,605L c153 5,242+ c150 5,251+ c165 5,257+ c174 5,272+ c167 5,283+ c168 6,221- c139 6,227- c150 6,251- c157 6,253- c153 6,257- c173 6,218+ c130 6,227+ c127 6,232+ c175 6,233+ c175 6,235+ c144 7,211- c173 7,227- c192 7,233- c155 7,241- c161 7,253- c177 7,211+ c128 7,214+ c150 7,223+ c148 7,232+ c171 7,233+ c184 10,197- c169 10,211- c211 10,215- c166 10,217- c174 10,223- c211 10,181+ c158 10,184+ c176 10,191+ c156 10,194+ c190 10,196+ c158 11,187- c143 11,191- c193 11,199- c173 11,203- c167 11,209- c144 11,172+ c130 11,181+ c155 11,188+ c184 11,190+ c150 11,191+ c171 12,173- c152 12,179- c190 12,185- c156 12,191- c190 12,193- c199 12,172+ c169 12,173+ c171 12,178+ c145 12,185+ c156 12,188+ c192 Wanted lists of July 23, 1998: Ten Most Wanted Numbers 1. 2,601- C170 6. 10,197- C169 2. 2,587+ C151 7. 10,181+ C158 3. 2,592+ C174 8. 10,184+ C176 4. 3,349+ C144 9. 5,251+ C165 5. 6,256+ C195 10. 5,257+ C174 Twenty-Four More Wanted Numbers 2,611- C163 2,1198L C147 6,221- C139 7,214+ C150 2,617- C171 2,608+ C149 6,227- C150 10,191+ C156 2,611+ C123 3,373- C178 6,218+ C130 10,194+ C190 2,613+ C185 3,358+ C118 6,227+ C127 10,196+ C158 2,1174L C172 3,361+ C164 7,211- C173 10,197+ C162 2,1186L C147 3,362+ C172 7,211+ C170 11,172+ C130