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 Special number field sieve: 3662 C162 12,151- FactOregon/CWI 3409 C158 2,523- A. K. Lenstra & D. Bernstein with two MasPars General number field sieve: 3663 C105 3,367- FactOregon/CWI Elliptic curve method: 3644 P42 2,603- S. S. Wagstaff, Jr, with a MasPar 3335 P42 10,201- D. Rusin with a SparcStation Largest penultimate prime factor (ultimate factor shown also): 3409 p69*p90 2,523- A. K. Lenstra & D. Bernstein with two MasPars 3590 p68*p69 6,178+ R. Silverman with several computers First five holes in each table on June 21, 1994: 2,527- c145 2,559- c142 2,563- c146 2,565- c115 2,569- c157 2,521+ c140 2,569+ c144 2,587+ c151 2,589+ c150 2,597+ c104 2,898L c107 2,914M c99 2,934L c133 2,962M c116 2,974L c144 2,524+ c119 2,536+ c156 2,548+ c157 2,556+ c134 2,568+ c120 3,319- c119 3,331- c139 3,349- c167 3,359- c108 3,365- c111 3,307+ c137 3,313+ c129 3,314+ c106 3,316+ c127 3,317+ c151 5,233- c148 5,247- c147 5,253- c143 5,475M c126 5,505M c109 5,206+ c143 5,209+ c108 5,218+ c106 5,223+ c129 5,226+ c157 6,187- c107 6,199- c122 6,209- c111 6,211- c108 6,217- c97 6,206+ c146 6,209+ c130 6,218+ c130 6,221+ c147 6,223+ c107 7,187- c121 7,193- c109 7,199- c164 7,203- c136 7,205- c136 7,181+ c114 7,182+ c122 7,185+ c114 7,188+ c150 7,191+ c152 10,163- c138 10,167- c142 10,169- c152 10,173- c154 10,177- c113 10,149+ c123 10,158+ c120 10,163+ c139 10,166+ c164 10,167+ c118 11,151- c139 11,167- c128 11,169- c151 11,177- c104 11,181- c177 11,131+ c129 11,142+ c141 11,146+ c132 11,148+ c147 11,149+ c145 12,137- c123 12,139- c119 12,149- c156 12,161- c135 12,163- c120 12,148+ c156 12,151+ c128 12,155+ c111 12,157+ c106 12,163+ c132 Here is the list of smaller but needed numbers: 2,597+ c104 2,914M c99 2,588+ c97 3,314+ c106 5,218+ c106 6,217- c97 11,177- c104 11,275M c105 Smaller but needed numbers in progress on June 21, 1994, are 2,588+ c97 by MullFac and 2,914M c99 by Boender, Lioen and te Riele. Also, AKL+MM+net are doing 7,181+ c114, Silverman is doing 10,149+ c123 and CWI are doing 3,319- c119.