Generalized Cullen and Woodall factors found in the period 2004 April 1 - June 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 7700 11,967- C1004 6261854187093972077327206285303. C973 P Leyland ECM 2004-04-01 7701 3,341+ C165 4263553533924900876991925860084039646119. C125 P Leyland ECM 2004-04-01 7702 10,274+ C274 1435857898803272564671747916263. C244 N Daminelli ECM 2004-04-02 7703 10,486+ C471 20905067185719723957419143. C446 N Daminelli ECM 2004-04-02 7704 10,965+ C942 29840214673473293743163. C920 N Daminelli ECM 2004-04-02 7705 10,512- C504 5946935920302714152137252291159. C473 N Daminelli ECM 2004-04-02 7706 10,671- C669 516527375897857130926742023. C642 N Daminelli ECM 2004-04-02 7707 11,311+ C319 2416400961342418959712890659. C291 N Daminelli ECM 2004-04-02 7708 11,378+ C366 230495453395148775167389267. C340 N Daminelli ECM 2004-04-02 7709 11,549+ C551 1997089235096203522781627257. C524 N Daminelli ECM 2004-04-02 7710 11,191- C153 812730821298507094895698769189. C123 N Daminelli ECM 2004-04-02 7711 12,281+ C290 1145190620288607869878877657191. C260 N Daminelli ECM 2004-04-02 7712 3,673+ C301 283711228187762464597392277. P274 N Daminelli ECM 2004-04-02 7713 3,735+ C319 26663338779495636374659858109. P291 N Daminelli ECM 2004-04-02 7714 3,779+ C366 4648391978583328907564741. P342 N Daminelli ECM 2004-04-02 7715 4,353+ C182 90150543577229582844571920281021. P150 N Daminelli ECM 2004-04-02 7716 4,410- C184 4256759899478067954576724151. P156 N Daminelli ECM 2004-04-02 7717 4,455- C266 582877463931752960035551581. C239 N Daminelli ECM 2004-04-02 7718 4,468- C282 930124383795267302319130045341187583. P246 N Daminelli ECM 2004-04-02 7719 4,544- C328 5232177889725121063328479427. P301 N Daminelli ECM 2004-04-02 7720 4,640- C367 67335510340368721591866631001. C338 N Daminelli ECM 2004-04-02 7721 4,853- C480 1357974378917889341375503981. C452 N Daminelli ECM 2004-04-02 7722 5,323+ C223 898439073614700065661451705357853. P190 N Daminelli ECM 2004-04-02 7723 5,456+ C308 12436229268355591733738017. C283 N Daminelli ECM 2004-04-02 7724 5,554+ C380 2728102998454493781969871. C356 N Daminelli ECM 2004-04-02 7725 5,914+ C621 5070725410391667040011500752619957. C587 N Daminelli ECM 2004-04-02 7726 6,648+ C477 476408897978670904365851. P453 N Daminelli ECM 2004-04-02 7727 6,918+ C690 474469084379012671984845313183. C660 N Daminelli ECM 2004-04-02 7728 6,308- C209 12389893449842139632290807301. P181 N Daminelli ECM 2004-04-02 7729 7,238+ C184 46426381857397855892063220976087207. P149 N Daminelli ECM 2004-04-02 7730 7,222- C177 2503049973908544408247385805435416177. C140 N Daminelli ECM 2004-04-02 7731 8,307+ C258 5058714146180264012940010181. P230 N Daminelli ECM 2004-04-02 7732 8,322+ C267 6484658939222882025962611536699389. C233 N Daminelli ECM 2004-04-02 7733 8,549+ C461 233030451670045882308822403. C435 N Daminelli ECM 2004-04-02 7734 8,776+ C697 139161492243714359938542299587. C668 N Daminelli ECM 2004-04-02 7735 8,887+ C746 11166101142089178626293. C724 N Daminelli ECM 2004-04-02 7736 8,927+ C811 54094005781054021893763. C788 N Daminelli ECM 2004-04-02 7737 8,460- C383 293654648202933121596625901. P356 N Daminelli ECM 2004-04-02 7738 9,618+ C572 8225106774386548499692783153. C544 N Daminelli ECM 2004-04-02 7739 9,641+ C604 14401644946680460036981423159. C575 N Daminelli ECM 2004-04-02 7740 9,831+ C751 19365137896840327345435883. C726 N Daminelli ECM 2004-04-02 7741 12,980- C1023 169027024698445177002242944510139. C991 P Leyland ECM 2004-04-02 7742 12,120- C130 1369976597879309273551758040787797. P97 P Leyland ECM 2004-04-02 7743 12,982+ C1051 861927065103060509077218918401. C1021 P Leyland ECM 2004-04-05 7744 4,270+ C129 9375673452516715539469354370881. P98 P Leyland ECM 2004-04-05 7745 6,247+ C159 435699509708940887327639192013709. C127 P Leyland ECM 2004-04-05 7746 11,974- C1014 979418123139967426666216480518431. C981 P Leyland ECM 2004-04-06 7747 4,858+ C502 4055264191849527213384803. C477 N Daminelli ECM 2004-04-12 7748 5,790+ C548 174987793646213606463729559. C522 N Daminelli ECM 2004-04-12 7749 5,742- C512 1594213054025686916714736159091. C481 N Daminelli ECM 2004-04-12 7750 6,867+ C657 3329707177846503767592659. C633 N Daminelli ECM 2004-04-12 7751 7,576+ C487 110126758129296704053752973. C461 N Daminelli ECM 2004-04-12 7752 7,676+ C509 1786132837310975342809187594933. P479 N Daminelli ECM 2004-04-12 7753 7,765+ C643 5181916371895624548807570437. C615 N Daminelli ECM 2004-04-12 7754 7,794+ C665 81959633817832277410703. C642 N Daminelli ECM 2004-04-12 7755 7,827- C682 36660465515328854409533. C659 N Daminelli ECM 2004-04-12 7756 8,552- C478 874770307668326110554845723. C451 N Daminelli ECM 2004-04-12 7757 8,855- C720 12039487650128205200888837579. C692 N Daminelli ECM 2004-04-12 7758 9,848+ C796 88359439342020248808987611. C771 N Daminelli ECM 2004-04-12 7759 10,450+ C427 15808304767402969087774789601. C399 N Daminelli ECM 2004-04-12 7760 10,779+ C767 518749110375256541443661. C743 N Daminelli ECM 2004-04-12 7761 10,464- C444 18895136278455167787647878477. C416 N Daminelli ECM 2004-04-12 7762 10,663- C640 122948233271068498919844649919. C611 N Daminelli ECM 2004-04-12 7763 10,893- C870 23669323706319107073628711573. C842 N Daminelli ECM 2004-04-12 7764 11,812- C790 15860730536271619285602476731. C762 N Daminelli ECM 2004-04-12 7765 6,227+ C127 20637974213509904370567950769848966129. P90 P Leyland ECM 2004-04-13 7766 12,979+ C1029 4402701032888591614711136227811. C998 P Leyland ECM 2004-04-13 7767 8,204+ C180 1817571781632423426047065160831369689. P144 P Leyland ECM 2004-04-15 7768 10,216- C139 1885104807006708271520963154331. C108 P Leyland ECM 2004-04-19 7769 12,324- C283 C132. C151 M Rodenkirch alg 2002-12-28 7770 12,324- C132 2066764741135499492533682758914937. P99 P Leyland ECM 2004-04-19 7771 12,729- C736 C222. C515 M Rodenkirch alg 2002-12-28 7772 12,729- C515 4449502141759930154752654264681. P484 P Leyland ECM 2004-04-19 7773 12,784- C723 C373. C351 M Rodenkirch alg 2002-12-28 7774 12,784- C373 33323812082195222123281898100253. P341 P Leyland ECM 2004-04-19 7775 12,729+ C472 374247091957640045349402889246981. C439 P Leyland ECM 2004-04-19 7776 7,165+ C142 2307318168905265885749966539909287932023. C102 P Leyland ECM 2004-04-20 7777 8,214- C185 32905892062828083785572471234287623. C150 P Leyland ECM 2004-04-20 7778 9,529- C485 8369061811820694950664775253776657. C451 P Leyland ECM 2004-04-20 7779 6,676- C472 2677816193757850439623972562131. C442 P Leyland ECM 2004-04-20 7780 7,875+ C424 106665571538464064644239806743. C395 P Leyland ECM 2004-04-23 7781 9,676- C260 7471928040479691812462800007719. C229 P Leyland ECM 2004-04-23 7782 3,774- C340 878545094365193045165178405619007. C307 N Daminelli ECM 2004-04-26 7783 4,600+ C351 3429862856226644928471889. C327 N Daminelli ECM 2004-04-26 7784 7,573+ C443 13038001324210599332152079. C418 N Daminelli ECM 2004-04-26 7785 7,583+ C480 249080099044130549552904121. C454 N Daminelli ECM 2004-04-26 7786 8,418- C378 4841599815664033900784623. C353 N Daminelli ECM 2004-04-26 7787 8,502- C452 2415954275143891848769679699. C424 N Daminelli ECM 2004-04-26 7788 8,407+ C335 117610415672320097895824641. P309 N Daminelli ECM 2004-04-26 7789 8,523+ C462 1075500276977539988995837. C438 N Daminelli ECM 2004-04-26 7790 8,550+ C488 202973067823855850038393636545503. C456 N Daminelli ECM 2004-04-26 7791 8,553+ C456 29057468940766861118850045637. C427 N Daminelli ECM 2004-04-26 7792 9,524+ C492 10238841214632204363407129. C467 N Daminelli ECM 2004-04-26 7793 10,501- C495 93719702096719105254957887. C469 N Daminelli ECM 2004-04-26 7794 11,235- C221 3336134077965990616237971949. C193 N Daminelli ECM 2004-04-26 7795 11,483+ C478 18509857003503482156280647390467. C447 N Daminelli ECM 2004-04-26 7796 11,500+ C451 600398401091996515116323. C427 N Daminelli ECM 2004-04-26 7797 12,445- C438 156519992162993231188721. C415 N Daminelli ECM 2004-04-26 7798 12,128+ C127 797574508191671597243345612144686891. P91 P Leyland ECM 2004-04-26 7799 4,288- C176 8663624227163544882195914377062433. C142 P Leyland ECM 2004-04-26 7800 9,160+ C126 124274525260611479375410156776871637. C91 P Leyland ECM 2004-04-26 7801 8,484- C406 C188. C218 M Rodenkirch alg 2002-12-28 7802 8,484- C188 110657568336420812958243389724491. P156 P Leyland ECM 2004-04-26 7803 9,160+ C91 3469935965698409938514060740948620691573. P51 P Leyland MPQS 2004-04-27 7804 4,729+ C271 830482812543351115265869324141. C241 P Leyland ECM 2004-04-29 7805 6,174+ C104 1744212568975143276714470938204968689825221. P61 P Leyland SNFS 2004-04-29 7806 11,554- C580 2529329176879557677651918248723. C550 Jo YU ECM 2004-05-03 7807 11,784- C795 8798457188509210971503762543879701. C761 P Leyland ECM 2004-05-04 7808 5,225+ C144 30425394336575206952745141964325821. P110 P Leyland ECM 2004-05-04 7809 8,900- C752 16686128638848771115735799849273. C721 P Leyland ECM 2004-05-04 7810 9,183- C172 1169548224748631771862515607413560621. P136 P Leyland ECM 2004-05-04 7811 9,324- C152 64879063314190182774699987017599. C120 P Leyland ECM 2004-05-04 7812 9,484- C418 901935140879333120782539063787393. C385 P Leyland ECM 2004-05-04 7813 9,324- C120 490775918839626176274495391340635681536569. P79 P Leyland ECM 2004-05-07 7814 9,900- C819 539644215688443536808957527190257. C786 P Leyland ECM 2004-05-10 7815 10,400- C163 54478779141283965859499296684031238089. P125 P Leyland ECM 2004-05-10 7816 12,140- C149 5225473370389039556371573673690719. P115 P Leyland ECM 2004-05-10 7817 12,900- C907 3742115936291641889493491877375857. C874 P Leyland ECM 2004-05-10 7818 3,292+ C128 15253103538898826289991413353261377. P94 P Leyland ECM 2004-05-11 7819 11,954- C997 6670843083709007743364737057279. C966 Jo YU ECM 2004-05-12 7820 7,172- C120 166400820108216389496209147179157819. P85 P Leyland ECM 2004-05-12 7821 12,777- C842 411764461597462745586786539. C815 Jo YU ECM 2004-05-17 7822 12,525+ C570 654204240956963612659584149327. C540 Jo YU ECM 2004-05-17 7823 12,578+ C627 778406162779371846610537033. C600 Jo YU ECM 2004-05-17 7824 6,241+ C144 12239479981461291463582999328009. P113 P Leyland ECM 2004-05-17 7825 11,729+ C484 31507382996254727939694128449693903. P449 P Leyland ECM 2004-05-18 7826 11,194+ C185 2670559613156020609651085428781. C155 N Daminelli ECM 2004-05-19 7827 11,565+ C534 26899921398035350212157957. C509 N Daminelli ECM 2004-05-19 7828 12,704- C753 8973315313035214613558441. C728 N Daminelli ECM 2004-05-19 7829 3,468+ C222 22644337987839968244272641351. C193 N Daminelli ECM 2004-05-19 7830 5,875+ C605 20473102196834657431058069. C579 N Daminelli ECM 2004-05-19 7831 5,904+ C569 680951232167775964811179. C545 N Daminelli ECM 2004-05-19 7832 5,979- C667 51533595028654253497297061301367. C635 N Daminelli ECM 2004-05-19 7833 6,504+ C392 130711082793774007907433424621. C363 N Daminelli ECM 2004-05-19 7834 6,508+ C389 17008542746910258537850739. C364 N Daminelli ECM 2004-05-19 7835 6,692- C508 2357915974248911371572059513. C480 N Daminelli ECM 2004-05-19 7836 6,757- C570 755143814625646788390848602447. C540 N Daminelli ECM 2004-05-19 7837 8,424+ C363 17405159726402148902867591. P338 N Daminelli ECM 2004-05-19 7838 8,410- C341 50581183865586692654835402751. C312 N Daminelli ECM 2004-05-19 7839 8,873- C777 4098933186423863171257607179. C749 N Daminelli ECM 2004-05-19 7840 10,774+ C771 495211589215887132918647. C747 N Daminelli ECM 2004-05-20 7841 11,655+ C654 79101027356996272575487. C631 N Daminelli ECM 2004-05-20 7842 11,732+ C750 675249964120363036368977323. C723 N Daminelli ECM 2004-05-20 7843 12,632- C630 997882309904873149724951. P606 N Daminelli ECM 2004-05-20 7844 5,377+ C196 294446632549619135762673941749. C167 N Daminelli ECM 2004-05-20 7845 6,726+ C505 6840520638622209365693479. C480 N Daminelli ECM 2004-05-20 7846 7,817+ C669 187830075593768990612651549. C643 N Daminelli ECM 2004-05-20 7847 8,830+ C723 30836429076438210472795779887. C695 N Daminelli ECM 2004-05-20 7848 8,852+ C698 988224150707805278889641. C674 N Daminelli ECM 2004-05-20 7849 8,457- C371 9062031274771347103811777. P346 N Daminelli ECM 2004-05-20 7850 9,808+ C758 240220823059171733475089233553. C728 N Daminelli ECM 2004-05-20 7851 9,868+ C796 14055364264616444294339. C774 N Daminelli ECM 2004-05-20 7852 7,195- C145 486224575162402078259588414339635033. P110 P Leyland ECM 2004-05-21 7853 5,255- C173 14079958567480632471741600191348477674079. C133 P Leyland ECM 2004-05-24 7854 12,172+ C148 1250844369224140676566896903730180459. P112 P Leyland ECM 2004-05-24 7855 3,676- C306 15131164653843238323160584622251353. C271 P Leyland ECM 2004-05-25 7856 10,191- C180 422283466044933273801408405471053489. P145 P Leyland ECM 2004-05-25 7857 5,242+ C141 750493850214211688818675542671302217. C106 P Leyland ECM 2004-05-26 7858 10,439+ C428 157190400335946328860436673. C402 N Daminelli ECM 2004-06-03 7859 10,769- C739 31911770514749436186067571. C713 N Daminelli ECM 2004-06-03 7860 11,903- C907 5335517356576954757249768783. C879 N Daminelli ECM 2004-06-03 7861 3,666+ C315 705297649305316455724152373. C288 N Daminelli ECM 2004-06-03 7862 5,543+ C340 884120242666681815942081251. P313 N Daminelli ECM 2004-06-03 7863 6,804+ C607 2499701442955809538363397476604099. C574 N Daminelli ECM 2004-06-03 7864 6,938+ C651 128963220811756613945986721459. C622 N Daminelli ECM 2004-06-03 7865 6,839- C655 4995946434032836407970433. C630 N Daminelli ECM 2004-06-03 7866 6,998- C777 13735285851279957582498430919. C749 N Daminelli ECM 2004-06-03 7867 7,835+ C668 3436963216067322651641. C646 N Daminelli ECM 2004-06-03 7868 9,766- C707 104253855954591958255346740369. C678 N Daminelli ECM 2004-06-03 7869 4,314- C115 5156262755415515600227077755317897. P82 P Leyland ECM 2004-06-08 7870 6,161- C115 444645627336720249733201869932463591633977. P74 S Hoogendoorn SNFS 2004-06-09 7871 8,346+ C311 14295491548805852997971437349. C283 P Leyland ECM 2004-06-10 7872 11,317- C309 4070034186682234208827327122829588728474359. P266 P Leyland ECM 2004-06-10 7873 12,138- C146 1166231114988599420148318466836787699. C110 P Leyland ECM 2004-06-10 7874 6,703+ C550 600567399720680670472822829. C524 Jo YU ECM 2004-06-12 7875 8,579+ C526 1921535511769853015764769068003139. C493 Jo YU ECM 2004-06-12 7876 11,163- C146 2066975415066249634509219463685587. C113 P Leyland ECM 2004-06-14 7877 6,395+ C309 20270389073153593233822446689. P280 P Leyland ECM 2004-06-14 7878 6,426+ C311 773284313518681207715501544611. C281 P Leyland ECM 2004-06-14 7879 4,573- C310 33788639120604930865581908787344221. C275 P Leyland ECM 2004-06-14 7880 11,320- C312 107276408634509298781426935299. C282 P Leyland ECM 2004-06-15 7881 3,681+ C310 74155783155118328232980065427. C282 P Leyland ECM 2004-06-15 7882 5,533- C313 711297492998521025687162915202449. P281 P Leyland ECM 2004-06-15 7883 9,197- C182 1210255140987788944454264601262132970736619901. P137 P Leyland ECM 2004-06-15 7884 9,345- C312 17714885849025752168111851223. P284 P Leyland ECM 2004-06-15 7885 3,692- C309 812225671626184861892905339. C282 P Leyland ECM 2004-06-15 7886 6,412- C309 2916040674388444074154017422246231. P276 P Leyland ECM 2004-06-17 7887 9,343+ C311 88312943931887201443102883409451. C279 P Leyland ECM 2004-06-17 7888 9,358- C310 54318649172439459420793573143721. C278 P Leyland ECM 2004-06-17 7889 10,171+ C172 368360064269933033195007072896627990507. C133 P Leyland ECM 2004-06-21 7890 10,320+ C311 14604933156326723189648794390883. P279 P Leyland ECM 2004-06-21 7891 12,331- C311 30291073424626378563282935699821. C279 P Leyland ECM 2004-06-21 7892 5,447+ C312 18748943280430223158509979219451011. C278 P Leyland ECM 2004-06-21 7893 5,258- C115 105268206246253653774805424681801476781. P77 P Leyland ECM 2004-06-21 7894 10,153+ C150 45283866950430016290807292959562687. C115 P Leyland ECM 2004-06-22 7895 3,842+ C336 522652306376512134982737803. P309 N Daminelli ECM 2004-06-24 7896 3,995+ C424 46397406339115638118621. C401 N Daminelli ECM 2004-06-24 7897 4,469- C275 1037310835864545019740667. P251 N Daminelli ECM 2004-06-24 7898 4,936- C541 242031645022572641930399. C518 N Daminelli ECM 2004-06-24 7899 6,525+ C377 269471666788249645057952827. C351 N Daminelli ECM 2004-06-24 7900 6,966- C734 10782739881709786159990979. C709 N Daminelli ECM 2004-06-24 7901 7,945+ C770 632486201773096243544581. C746 N Daminelli ECM 2004-06-24 7902 7,443- C365 178230797946345657731415097. C338 N Daminelli ECM 2004-06-24 7903 8,758+ C657 783325205019855827693606828219. C627 N Daminelli ECM 2004-06-24 7904 8,794+ C701 448271697518279960920691903. C674 N Daminelli ECM 2004-06-24 7905 8,615- C532 144612616987055767173150347. C506 N Daminelli ECM 2004-06-24 7906 8,815- C709 1435106479287282112708603069. C682 N Daminelli ECM 2004-06-24 7907 9,525+ C474 3811762532012511816911999. C449 N Daminelli ECM 2004-06-24 7908 9,529+ C470 134478240737759980536713737. C444 N Daminelli ECM 2004-06-24 7909 9,938- C892 11145306421936874464849536127. C864 N Daminelli ECM 2004-06-24 7910 10,538+ C516 336115781314029996414391. C493 N Daminelli ECM 2004-06-24 7911 10,532- C456 58537437159944335796253352027139. C424 N Daminelli ECM 2004-06-24 7912 11,589+ C600 1625617976489449706777129. C575 N Daminelli ECM 2004-06-24 7913 11,674+ C694 45159404217824210531624623. C668 N Daminelli ECM 2004-06-24 7914 11,720+ C751 3473470148350507963107942109. C723 N Daminelli ECM 2004-06-24 7915 11,809+ C808 1455649547863220189476522007. C781 N Daminelli ECM 2004-06-24 7916 11,897+ C911 54488296188246107950536283. C885 N Daminelli ECM 2004-06-24 7917 12,419+ C424 629165100171962521322886112631. C394 N Daminelli ECM 2004-06-24 7918 12,278- C288 1996985510550148180892468318311. C257 N Daminelli ECM 2004-06-24 7919 12,454- C473 3896673687891238640835418603. C446 N Daminelli ECM 2004-06-24 7920 9,346+ C312 6325029029670717332965081353947. P281 P Leyland ECM 2004-06-29 7921 4,379- C222 8552690506242630029638431902713. P191 P Leyland ECM 2004-06-30 7922 10,233- C223 9143865337861107558861317087. C195 P Leyland ECM 2004-06-30 7923 11,203- C210 15617300576323264740359699934077. C179 P Leyland ECM 2004-06-30