Generalized Cullen and Woodall factors found in the period 2005 January 1 - March 31 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 8295 4,598- C351 344487521250301549870427825311. C322 P Leyland ECM 2005-01-04 8296 4,598- C322 13001989141671859820097785707572949. C288 P Leyland ECM 2005-01-04 8297 4,974- C575 152741328566613810296403051059. C545 P Leyland ECM 2005-01-05 8298 4,931- C527 11032036380547461423174437235919799729. P490 P Leyland ECM 2005-01-05 8299 10,134- C127 13204751874207311461133065130473512197932731018769918815841. P69 S Hoogendoorn SNFS 2005-01-08 8300 11,129+ C118 22341340789888413365369320153064557626139. P78 S Hoogendoorn SNFS 2005-01-08 8301 12,125+ C123 18505806317500849640470659086573933532990451. P80 S Hoogendoorn SNFS 2005-01-08 8302 3,278- C112 23041918594196824617649498736550123226399358605693627. P59 S Hoogendoorn SNFS 2005-01-08 8303 4,221+ C113 49968822520832119316784944347291447829. P76 S Hoogendoorn SNFS 2005-01-08 8304 5,191+ C117 701257023612005524972955486261230247. C81 S Hoogendoorn SNFS 2005-01-08 8305 5,191+ C81 67977495868766467576350090889942281661. P43 S Hoogendoorn SNFS 2005-01-08 8306 7,156- C130 3819126495299609445838187842147826481477219421. P85 S Hoogendoorn SNFS 2005-01-08 8307 9,138- C125 7518852952818481961654309707348138104575461733. P79 S Hoogendoorn SNFS 2005-01-08 8308 4,617- C373 125884976734125127026022776267775133. P338 P Leyland ECM 2005-01-10 8309 11,128- C135 109408180288893503452875590797119989975152005565783. P85 S Hoogendoorn SNFS 2005-01-14 8310 12,126+ C126 1005392347019871767224770019222857506405955403. P81 S Hoogendoorn SNFS 2005-01-14 8311 6,173+ C125 1567046374591594703269351375323661469625529. P82 S Hoogendoorn SNFS 2005-01-14 8312 7,162- C116 7503312129926036720787603156579630905461976737589129. P64 S Hoogendoorn SNFS 2005-01-14 8313 8,149- C114 1864318027573319490938236498119324576685609445742189773. P60 S Hoogendoorn SNFS 2005-01-14 8314 8,151- C130 593254034197425977904494777622506779558279542024089533. P77 S Hoogendoorn SNFS 2005-01-14 8315 9,141+ C116 51181649884484367498312220537330138014824104628119. P67 S Hoogendoorn SNFS 2005-01-14 8316 4,799- C464 1040950912841399161814713648369. C434 P Leyland ECM 2005-01-17 8317 3,383- C168 8002156813925042942438166445809701. C134 D Leclair ECM 2005-01-18 8318 3,417- C121 163507724152208414529804950622914227422289. P80 D Leclair ECM 2005-01-18 8319 4,627- C375 5454974347725156158453584481. C347 P Leyland ECM 2005-01-28 8320 4,600- C320 1315715919212385265188601047286147. P287 P Leyland ECM 2005-02-03 8321 5,321- C165 1819249943730032241318395734210673. C132 P Leyland ECM 2005-02-03 8322 8,320+ C276 89332383799753601548492072074984161. P241 L Fousse ECM 2005-02-04 8323 5,461+ C306 152645281507133345065251601273. C276 P Leyland ECM 2005-02-10 8324 5,418+ C240 50071675622014219256433196860589. C209 P Leyland ECM 2005-02-10 8325 7,326- C227 609450013114654779582284600442481223287. C189 P Leyland ECM 2005-02-11 8326 5,432+ C289 29230144721988496889931296803. C261 P Leyland ECM 2005-02-16 8327 5,917+ C637 138648312396690520570584887. C611 P Leyland ECM 2005-02-16 8328 6,189- C123 347913593098598174781954504989354081175400972143045961241. P67 P Leyland SNFS 2005-02-20 8329 5,792+ C550 13851561508675783475668780993367. P519 P Leyland ECM 2005-02-24 8330 12,136- C118 420342179734562257707854082220262710897. P79 P Leyland SNFS 2005-02-24 8331 5,478+ C307 576520238999969785690056720379. C277 P Leyland ECM 2005-02-25 8332 5,739+ C479 106573682192660028324773411. C453 P Leyland ECM 2005-02-26 8333 5,940+ C651 25040225376441197201050983361. C622 P Leyland ECM 2005-02-26 8334 5,838+ C572 6357817359774066319003319. P547 P Leyland ECM 2005-02-26 8335 5,994+ C691 221563165378884128091211267. C664 P Leyland ECM 2005-02-26 8336 5,659+ C443 5573979107460892156593181. C419 P Leyland ECM 2005-02-28 8337 5,895+ C591 726819900694757866718685151. C564 P Leyland ECM 2005-03-01 8338 5,197+ C136 102855647690347047037771081990633154067820458523521649676929. P77 S Hoogendoorn SNFS 2005-03-02 8339 6,186- C147 7576391410040007098291268277310648780438643763729027. P95 P Leyland SNFS 2005-01-03 8340 5,673+ C428 7335912484759683584381411. C403 P Leyland ECM 2005-03-06 8341 5,807+ C528 3020619778826844306924730314787. C497 P Leyland ECM 2005-03-06 8342 3,435- C198 151177265958735433333895696147927173. C163 D Leclair ECM 2005-03-07 8343 3,439- C191 240916578159551561416193495014577198617. C153 D Leclair ECM 2005-03-07 8344 3,442- C175 211823318526894716535231724463899138901. P137 D Leclair ECM 2005-03-07 8345 7,174- C139 152442578601569794591904804250999748908109876555524006541184281715891. P71 P Leyland SNFS 2005-03-07 8346 5,312- C176 53222987829260110274466491200811897153. C139 P Leyland ECM 2005-03-09 8347 10,147- C119 18929382503119853953977397017218357448128603. P76 P Leyland SNFS 2005-03-12 8348 5,546+ C358 64566296589496194908733251019417269. P323 P Leyland SNFS 2005-03-14 8349 3,449- C142 1326170249556233040609152505289843519805287. P100 D Leclair ECM 2005-03-15 8350 3,366+ C110 998843597544045017932051362311929033169041157. P65 S Hoogendoorn GNFS 2005-03-16 8351 4,228- C124 19330219677603160492055474740199011394139105049. P78 Jo YU GNFS 2005-03-16 8352 5,570+ C341 3885922188747172786120674487903. C311 P Leyland ECM 2005-03-17 8353 5,727+ C508 628076899373105264888659297. C481 P Leyland ECM 2005-03-17 8354 4,228+ C124 67740514911505018847030762077278438071915197169657. P74 Jo YU GNFS 2005-03-20 8355 5,691+ C480 617893778453257221680597983. C453 P Leyland ECM 2005-03-20 8356 3,454- C203 1499174627884825825270149595461226818757. C163 D Leclair ECM 2005-03-22 8357 12,163+ C112 37805602999438566912163112325773795057. P75 M Rodenkirch ECM 2005-03-23 8358 12,281+ C260 1019129031423949731641332253964301. C227 M Rodenkirch ECM 2005-03-23 8359 5,653+ C442 3332978718810328776641368850713038983. C405 P Leyland ECM 2005-03-23 8360 12,238+ C257 170033872752152339034884159. C231 M Rodenkirch ECM 2005-03-24 8361 5,516+ C328 3180824964894049852652384959. C301 P Leyland ECM 2005-03-24 8362 5,952+ C640 452914040586286502646107288325853. C607 P Leyland ECM 2005-03-24 8363 12,321+ C333 362855557913288136063630141775827019. C298 M Rodenkirch ECM 2005-03-25 8364 12,322+ C330 13349572680188027754401373449. P302 M Rodenkirch ECM 2005-03-25 8365 12,337+ C327 754914126300454165611825593. C300 M Rodenkirch ECM 2005-03-25 8366 5,687+ C475 1231201919223227658288581359. C448 P Leyland ECM 2005-03-25 8367 7,163+ C118 18236649699945664684949292781055325099950576321666176841. P63 Jo YU GNFS 2005-03-25 8368 4,484- C124 12403316648104854842461664379333532115810423949582389. P72 R Backstrom SNFS 2005-03-25 8369 12,382+ C403 74073640916118532794993889. C378 M Rodenkirch ECM 2005-03-25 8370 12,444+ C446 273970937894569251613793989518313. C414 M Rodenkirch ECM 2005-03-27 8371 10,158- C110 67898561232041826487987995380357834459393. P69 S Hoogendoorn GNFS 2005-03-27 8372 5,794+ C547 84658233257270330648185202171. C518 P Leyland ECM 2005-03-27 8373 12,451+ C472 9280382512508511606349943489. P444 M Rodenkirch ECM 2005-03-27 8374 8,306+ C269 19917290895435928141922832809. C241 P Leyland ECM 2005-03-28 8375 12,494+ C510 31967206529676843930249912697. C481 M Rodenkirch ECM 2005-03-29 8376 5,197- C137 1077614276305289342238748666261603941102307839263979881159. P80 Jo YU GNFS 2005-03-29 8377 3,462- C178 8470903303889811176566244004161397196651. C138 D Leclair ECM 2005-03-30 8378 3,465- C211 6028091184256153564793899228842627271. P174 D Leclair ECM 2005-03-30 8379 4,938- C547 175131310100567053655653340904671. C514 P Leyland ECM 2005-03-30 8380 5,555+ C382 154266062228138666030598281. C356 P Leyland ECM 2005-03-30 8381 12,541+ C549 152568735806636170901760143. C523 M Rodenkirch ECM 2005-03-30 8382 12,566+ C564 209826678474583544995818721. C538 M Rodenkirch ECM 2005-03-30 8383 10,561+ C557 120492046781761847705239. P534 P Leyland ECM 2005-03-31 8384 12,583+ C584 10160145149806050480963658121. C556 M Rodenkirch ECM 2005-03-31