List of champions for factoring Cunningham numbers: Quadratic sieve method: 3045 C111 2,484+ A. K. Lenstra & M. Manasse & al. with many computers 2966 C107 2,802L A. K. Lenstra & M. Manasse with several computers Table First four holes in each table on May 12, 1990: 2- 2,445- c103 2,449- c95 2,467- c133 2,479- c127 2+,odd 2,427+ c98 2,439+ c105 2,443+ c105 2,461+ c102 2LM 2,722M c103 2,802M c104 2,814L c109 2,826L c106 2+,4k 2,428+ c114 2,436+ c96 2,460+ c106 2,488+ c145 3- 3,227- c98 3,257- c118 3,303- c93 3,305- c97 3+ 3,263+ c105 3,269+ c123 3,277+ c128 3,278+ c107 5- 5,169- c105 5,187- c106 5,201- c93 5,211- c94 5+ 5,167+ c104 5,187+ c105 5,188+ c96 5,191+ c114 6- 6,151- c105 6,163- c124 6,173- c119 6,179- c115 6+ 6,164+ c125 6,169+ c101 6,172+ c99 6,176+ c125 7- 7,163- c101 7,167- c111 7,169- c132 7,173- c146 7+ 7,146+ c111 7,160+ c95 7,163+ c117 7,164+ c136 10- 10,151- c139 10,157- c132 10,163- c163 10,167- c142 10+ 10,134+ c98 10,142+ c116 10,149+ c123 10,151+ c112 11- 11,131- c134 11,145- c113 11,151- c139 11,157- c93 11+ 11,125+ c96 11,127+ c120 11,131+ c129 11,139+ c114 12- 12,127- c126 12,133- c104 12,137- c123 12,139- c119 12+ 12,118+ c110 12,125+ c96 12,127+ c99 12,131+ c136 Ten Most Wanted Factorizations (from Page 59) 1. 2,512+ C148 6. 10,151- C139 2. 2,1024+ C291 7. 10,142+ C116 3. 5,256+ C134 8. 12,118+ C110 4. 2,428+ C114 9. 7,146+ C111 5. 2,467- C133 10. 11,127+ C120 Twenty-five More Wanted Factorizations 2,445- C103 2,463+ C101 3,227- C98 7,160+ C95 2,449- C95 2,479+ C108 3,251- C117* 10,134+ C98 2,479- C127 2,722M C103 5,169- C105 10,149+ C123 2,427+ C98 2,794L C104* 5,167+ C104 11,125+ C96 2,439+ C105 2,436+ C96 6,151- C105 12,125+ C96 2,443+ C105 2,460+ C106 6,163- C124 2,461+ C102 6,164+ C125 * Done on Page 60