Generalized Cullen and Woodall factors found in the period 2005 July 1 - September 30 Only factors >= p20 are given explictly here. The 2000q4 table lists the finders of smaller factors and their tally of such. Under Method, ECM is the elliptic curve method; MPQS is the multiple polynomial quadratic sieve; SIQS is the self-initializing version of MPQS; SNFS is the special number field sieve; GNFS is the general number field sieve; P-1 is Pollard's P-1 factoring algorithm, P+1 is William's P+1 algorithm and "alg" denotes an algebraic factorization. Index Number Size Factors Finder Method Date 8565 4,233+ C134 523703917231296615821989248046647407580370239816333052425046417. P71 S Hoogendoorn SNFS 2005-07-04 8566 6,178- C139 26586554086286806949551093361152842090110771518958765579. P83 S Hoogendoorn SNFS 2005-07-04 8567 6,182+ C130 585004043861086357159322693965525957515872160358974598362671. P70 S Hoogendoorn SNFS 2005-07-04 8568 7,167- C141 120036129346125493387003206293978267478148553463532169. P88 S Hoogendoorn SNFS 2005-07-04 8569 9,148- C127 18098940972487090058548979260600635458273934280445471. P74 S Hoogendoorn SNFS 2005-07-04 8570 11,133+ C130 315195033332619908577900817569186031058779. P88 S Hoogendoorn SNFS 2005-07-04 8571 7,176+ C124 3875948731576478398043383239832833607. P87 R Stanilewicz ECM 2005-07-04 8572 12,190- C191 19126800421785791131017709212990227. C157 P Leyland ECM 2005-07-04 8573 9,189+ C135 38141501017130561531141454531341781865001. P94 Jo YU ECM 2005-07-07 8574 7,167+ C121 70391605008004620897191755830475636467529914938662113113. P65 S Hoogendoorn SNFS 2005-07-07 8575 11,134+ C116 374462670748911418944854407494295325505106349. P71 S Hoogendoorn SNFS 2005-07-07 8576 11,135- C139 36995944638985855237334640262099357185404431384213272037. P84 S Hoogendoorn SNFS 2005-07-07 8577 11,135+ C116 3380706607352735889362875292665961927. P79 S Hoogendoorn SNFS 2005-07-07 8578 12,131- C130 44606093734482048810255780279099775332789572479. P83 S Hoogendoorn SNFS 2005-07-07 8579 5,749+ C484 358337346469561004999819533567. P454 P Leyland ECM 2005-07-11 8580 5,776+ C543 9123882622851944676219638941. C515 P Leyland ECM 2005-07-11 8581 5,847+ C568 189545265566140991995498949. C542 P Leyland ECM 2005-07-11 8582 5,974+ C596 579489056798160737212961877007. C566 P Leyland ECM 2005-07-11 8583 11,139- C146 323595096186960267229896830322698280071997089638012470194412031. P84 S Hoogendoorn SNFS 2005-07-11 8584 6,187+ C114 159312454271370616341387911198305768163651. P73 S Hoogendoorn SNFS 2005-07-11 8585 7,169- C143 3044034864868960454984695516548159263. C107 S Hoogendoorn SNFS 2005-07-11 8586 7,169- C107 4584302418569822290706394771910346423905413851. P61 S Hoogendoorn SNFS 2005-07-11 8587 8,164+ C137 320837187782500571937204333134453526673. P99 S Hoogendoorn SNFS 2005-07-11 8588 5,421+ C260 588656827268930438547434999339. C230 P Leyland ECM 2005-07-12 8589 5,877+ C598 8235076637483720482346276119. C570 P Leyland ECM 2005-07-12 8590 5,781+ C481 22795570242490053007032565409. C453 P Leyland ECM 2005-07-13 8591 4,501+ C259 17470057695994039356085596318583399. C224 P Leyland ECM 2005-07-30 8592 6,344+ C262 366589655190210004148766684599. P233 P Leyland ECM 2005-07-30 8593 10,149+ C151 6008363388383112010035770403976167970653042572329712291856119. P90 S Hoogendoorn SNFS 2005-07-31 8594 11,143+ C150 1647787089410063987837006458528138714089999338538876409152251303545612757. P78 S Hoogendoorn SNFS 2005-07-31 8595 3,313- C122 262540880975501975195241781855661163523848774855918679. P69 S Hoogendoorn SNFS 2005-07-31 8596 3,310+ C148 434492360938257372726311933669065630385400119177074691. P95 S Hoogendoorn SNFS 2005-07-31 8597 3,312+ C122 38970322358038327795995847324623279116734492846848521933. P67 S Hoogendoorn SNFS 2005-07-31 8598 4,247+ C128 4437912725585257025721818100619223864915973531804206753. P73 S Hoogendoorn SNFS 2005-07-31 8599 4,249+ C141 1709445978456397476901458157505307186447709772717365537. P87 S Hoogendoorn SNFS 2005-07-31 8600 5,214- C124 63664583758781820595216468735894831379942165875830249138529. P65 S Hoogendoorn SNFS 2005-07-31 8601 5,212+ C139 43065352951886988600021282193585601634613. P98 S Hoogendoorn SNFS 2005-07-31 8602 6,191- C146 11453809996685393404900457821496421497673137. P103 S Hoogendoorn SNFS 2005-07-31 8603 6,192+ C113 18100599840210831986697754674837208751983093. P70 S Hoogendoorn SNFS 2005-07-31 8604 7,176- C110 8717856501754546818206596010089155954541. P70 S Hoogendoorn SNFS 2005-07-31 8605 8,165- C120 35746356497174291771213153279329290812284821064380223. P68 S Hoogendoorn SNFS 2005-07-31 8606 9,156- C124 28690884283951348735767455544296840926002067715647. P75 S Hoogendoorn SNFS 2005-07-31 8607 9,152+ C127 124517777663766045024538767595945068995170470233. P79 S Hoogendoorn SNFS 2005-07-31 8608 3,383- C134 198021293573494182664611655279672779469771. P93 Jo YU ECM 2005-08-01 8609 3,320- C112 558382219403450811549816495751266482759518121. P67 R Stanilewicz GNFS 2005-08-07 8610 5,283+ C153 2536079464862103497858745308083. P122 P Leyland ECM 2005-08-08 8611 10,151+ C151 10726140363060048557911024209394750741. C114 S Hoogendoorn SNFS 2005-08-09 8612 10,151+ C114 278380427321890551855036717655070515199574322923263237. P61 S Hoogendoorn SNFS 2005-08-09 8613 11,145+ C138 2061031213013339905790461567579144423. C102 S Hoogendoorn SNFS 2005-08-09 8614 11,145+ C102 27590079748443280975061274940732250907988909. P58 S Hoogendoorn SNFS 2005-08-09 8615 4,247- C149 74876203451026218667384499838458330319196006295026334547831713076494983. P78 S Hoogendoorn GNFS 2005-08-09 8616 4,236+ C106 4636251200399920279862420896656618578271646439. P60 S Hoogendoorn SNFS 2005-08-09 8617 5,215- C122 198932892629846373533141815658050135837075114711911614027951. P62 S Hoogendoorn SNFS 2005-08-09 8618 6,193- C127 45887264020253849018788927496037382857064587894272069. P74 S Hoogendoorn SNFS 2005-08-09 8619 8,166- C129 509565071712081522744852568644696802721230363067. P81 S Hoogendoorn SNFS 2005-08-09 8620 5,605+ C412 132569043671937788337049454789. C383 P Leyland ECM 2005-08-10 8621 5,651+ C449 769827356868999584293198458029. C419 P Leyland ECM 2005-08-10 8622 5,991+ C692 716309403092619165388163153113. C662 P Leyland ECM 2005-08-10 8623 5,859+ C536 16043366240402492355725791103. C507 P Leyland ECM 2005-08-11 8624 7,179+ C141 3575301751301606825522487780064646189. P104 D Leclair ECM 2005-08-12 8625 7,212+ C133 4972811372836716159013594197882790555882879. C91 D Leclair ECM 2005-08-12 8626 7,212+ C91 15759083241615209826794290179837029979308357. P47 D Leclair GNFS 2005-08-12 8627 7,239+ C133 7037103317790494359172411648748300243607. C94 D Leclair ECM 2005-08-12 8628 7,239+ C94 1198945540260445383017801001331737274995527. P51 D Leclair GNFS 2005-08-12 8629 7,241+ C198 120345739819572365697034526300977311763. P160 D Leclair ECM 2005-08-12 8630 5,227+ C112 1693755796652936982535419619539619. P79 S Hoogendoorn GNFS 2005-08-14 8631 9,178- C111 7753904145383506644774743499417899448317. P71 S Hoogendoorn GNFS 2005-08-14 8632 9,158+ C127 92127836285738935391096532726216837578533132386268168260103. P68 S Hoogendoorn SNFS 2005-08-14 8633 5,361+ C234 12392666204565419109156375535429. C203 P Leyland ECM 2005-08-14 8634 6,343- C240 97468060053943833174791981669148956077. C202 P Leyland ECM 2005-08-16 8635 9,307+ C255 155988761170322433892615079642857. C223 P Leyland ECM 2005-08-17 8636 8,299- C264 300028537791033033552331219125057653. C229 P Leyland ECM 2005-08-17 8637 7,251+ C165 29139139325783213735505874632919. C134 R Stanilewicz ECM 2005-08-17 8638 5,497+ C285 255231691261811539857066142631. C256 P Leyland ECM 2005-08-20 8639 4,729+ C241 C114. C128 J Leherbauer alg 2004-08-07 8640 4,729+ C114 384951388675381469530310627060289812401145386189. P66 G Reynolds GNFS 2005-08-21 8641 7,430- C296 254027732003108192440525468733. C266 P Leyland ECM 2005-08-21 8642 5,888+ C570 766536466104662927031139459. C544 P Leyland ECM 2005-08-22 8643 5,933+ C641 39039593171307562505095817902040809. C606 P Leyland ECM 2005-08-22 8644 5,745+ C498 1277958049748264701879166074864727. P465 P Leyland ECM 2005-08-24 8645 5,870+ C586 284501652567997089457193956674923. C553 P Leyland ECM 2005-08-24 8646 5,250- C118 64707900025111816159969730783877267929764949396077. P68 R Stanilewicz GNFS 2005-08-25 8647 5,639+ C444 782588998607137995288010562869. C414 P Leyland ECM 2005-08-25 8648 5,350+ C228 22331492195429325385339653544613617. P194 P Leyland ECM 2005-08-26 8649 5,474+ C317 555880408779431267203695513980447. C284 P Leyland ECM 2005-08-27 8650 5,970+ C654 642252109897810517560011701162987. C622 P Leyland ECM 2005-08-27 8651 4,550- C331 193849485400448924998524207421. C302 N Daminelli ECM 2005-08-27 8652 4,665+ C352 44914131467885129023040015209. C323 N Daminelli ECM 2005-08-27 8653 5,641+ C437 183125135062131751229863216667. C408 N Daminelli ECM 2005-08-27 8654 6,356+ C244 5512085899403067137331671591736733. C210 N Daminelli ECM 2005-08-27 8655 6,456+ C316 628525873208940115306462133. C290 N Daminelli ECM 2005-08-27 8656 6,647+ C479 15413318115248089456591749529657. C448 N Daminelli ECM 2005-08-27 8657 6,850+ C626 158571937825831563409685921. C600 N Daminelli ECM 2005-08-27 8658 7,711- C601 5130175535166212637819195233. C573 N Daminelli ECM 2005-08-27 8659 7,976+ C796 4138022988208342793847541. C771 N Daminelli ECM 2005-08-27 8660 8,404- C358 17590766634085569188186803477246109. C324 N Daminelli ECM 2005-08-27 8661 8,927- C792 81009151307277315924777797. C766 N Daminelli ECM 2005-08-27 8662 8,856+ C758 206687920552278778824142563893. C728 N Daminelli ECM 2005-08-27 8663 9,616- C555 18498262141553102591928171967. C526 N Daminelli ECM 2005-08-27 8664 9,734- C688 291107490378061559963947933. C661 N Daminelli ECM 2005-08-27 8665 9,967+ C910 7875030186645326184005778893. C882 N Daminelli ECM 2005-08-27 8666 10,273+ C260 35076004633943257403108171. P235 N Daminelli ECM 2005-08-27 8667 10,950+ C910 4799527664294724222767. C888 N Daminelli ECM 2005-08-27 8668 11,375+ C373 2683967126755708564871546219. C346 N Daminelli ECM 2005-08-27 8669 11,879+ C886 21368419344840745177418711. C860 N Daminelli ECM 2005-08-27 8670 11,909+ C929 4491524598116007151930907. C904 N Daminelli ECM 2005-08-27 8671 11,922+ C913 5002034262189435846439021. C888 N Daminelli ECM 2005-08-27 8672 12,574- C580 69374203340691242957781373. P554 N Daminelli ECM 2005-08-27 8673 12,763- C790 122146956508817783427076419709. C761 N Daminelli ECM 2005-08-27 8674 12,831- C868 1808864275558629322489699. C844 N Daminelli ECM 2005-08-27 8675 12,853+ C882 704711121313818634363120786103. C852 N Daminelli ECM 2005-08-27 8676 5,301+ C182 2094434769041059178612304093005596373. C146 P Leyland ECM 2005-08-29 8677 5,660+ C412 9084896246418932174644970753. C384 P Leyland ECM 2005-08-29 8678 5,819+ C541 155025294994579025898500583090647. C509 P Leyland ECM 2005-08-29 8679 10,188+ C113 59906931493666129721110980801155144439878341. P69 S Hoogendoorn GNFS 2005-08-29 8680 11,163- C113 3563524594070992357640663517048272657539589. P70 S Hoogendoorn GNFS 2005-08-29 8681 12,170+ C114 4537475438288881956769715942191101883873956042119. P66 S Hoogendoorn GNFS 2005-08-29 8682 5,234+ C115 4251700829661775235137753353925876150862803178387122109. P60 S Hoogendoorn GNFS 2005-08-29 8683 7,188- C115 6124887335737497768171130477063997597991375081899. P66 S Hoogendoorn GNFS 2005-08-29 8684 7,208- C113 23616140394722256188743400154584560736507067821763457. P61 S Hoogendoorn GNFS 2005-08-29 8685 7,201+ C115 174102594141971171916750208218060978385743247679656553771. P59 S Hoogendoorn GNFS 2005-08-29 8686 5,824+ C540 33396020648314931033655639525055473547. C502 P Leyland ECM 2005-08-29 8687 9,696+ C640 197366715985958493502448273. C614 P Leyland ECM 2005-08-31 8688 9,479+ C455 9354462645192896760869981. C430 P Leyland ECM 2005-09-02 8689 9,536+ C484 17985174570839735510289589. C458 P Leyland ECM 2005-09-02 8690 9,609+ C578 7984707021964066544978617. C553 P Leyland ECM 2005-09-02 8691 9,938+ C856 1149211139260899704009719. C832 P Leyland ECM 2005-09-02 8692 9,753+ C704 5257354673271597388563226007. C676 P Leyland ECM 2005-09-04 8693 9,869+ C784 74576608348408920602503657. C758 P Leyland ECM 2005-09-04 8694 9,588+ C562 361638044927956678163563459. P536 P Leyland ECM 2005-09-06 8695 9,918+ C859 7069551383054440167101869. C834 P Leyland ECM 2005-09-06 8696 5,806+ C508 319641349578543250111252586951. C479 P Leyland ECM 2005-09-09 8697 9,214+ C176 3233793832904385930022268124067. P146 P Leyland ECM 2005-09-09 8698 9,961+ C879 1662484239203664275845729. C854 P Leyland ECM 2005-09-09 8699 5,945+ C639 57106953738889354740729633833. C610 P Leyland ECM 2005-09-12 8700 9,878+ C840 344874812538761622010891601. C813 P Leyland ECM 2005-09-12 8701 9,963+ C893 15378684005564210383492723747. C864 P Leyland ECM 2005-09-12 8702 4,452+ C260 2389138802647612077182127629221. C230 R Stanilewicz ECM 2005-09-12 8703 7,347- C262 1333334130325854068589567191726276389. C226 R Stanilewicz ECM 2005-09-12 8704 10,153+ C115 2225499134562914970189860460588780909527. P76 S Hoogendoorn GNFS 2005-09-12 8705 10,168- C115 376301088938876563038576188678276476833804062239589. P64 S Hoogendoorn GNFS 2005-09-12 8706 3,316- C115 33224550629369623100416138988791184841011712203. P69 S Hoogendoorn GNFS 2005-09-12 8707 8,190- C116 3149171285016971286794102233009593660521847130615519769. P61 S Hoogendoorn GNFS 2005-09-12 8708 5,615+ C412 1051828448705926330666583943751. P382 P Leyland ECM 2005-09-15 8709 9,467+ C374 17038769354974166495416225675951247. C340 P Leyland P+1 2005-09-16 8710 9,468+ C423 71038426660187565091686137. P398 P Leyland ECM 2005-09-16 8711 4,729+ C128 23041288593968463386416313100798138126167882623009862553889. P69 G Reynolds SNFS 2005-09-20 8712 5,852+ C571 6767446655111339708723344367. C543 P Leyland ECM 2005-09-21 8713 9,475+ C427 90066191509560020703941219. C401 P Leyland ECM 2005-09-21 8714 9,839+ C765 54399007182827341189517922864497. C733 P Leyland ECM 2005-09-21 8715 9,901+ C855 678112057018974925567917660893. C825 P Leyland ECM 2005-09-21 8716 9,393+ C306 32792973399419383944058003. P281 P Leyland ECM 2005-09-29 8717 9,488+ C460 291256193820710645399480879. C433 P Leyland ECM 2005-09-29 8718 6,194- C113 147739276494239356866030101524994372561. P75 S Hoogendoorn GNFS 2005-09-29