looking for help

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kotika98
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looking for help

#1 Ungelesener Beitrag von kotika98 » 12.09.2013 11:25

Hi all,
I am looking for help to get factorizations of "Mersenne-Base Cunningham numbers" that is M^k-1 where M is usually the ninth Mersenne number 2^61-1 .
Such factorizations are necessary to find primitive polinomials of order k in the prime modulus M.

This means that there are many problems in applied math that can benefit from this. I am using it to give rigorous proofs of the period of my random number generator, the open source code for which is at mixmax.hepforge.org

Anyway, at the moment the priority is k=256 which has three composite factors left:
(the first one has had some ~5000 of ECM curves at 110e6 run on it already, the others much less)

Please help attack this with ECM!

Code: Alles auswählen

27503817001021855161359142123867859536697596095777966914212896065652446437415997206851944428748759308483152015176751478208917632740831052389257949045686226159825984985356043711658640131389761 
<191> hard one!!!


18930980212150778658143159711416730136200742355048430944408077805454501544121058050710438623644976643579568478748689225465038938464011530148153580043196665523858714780034943329382234044724038431213136488103194383542836308326302531830690671759473325150693000818485896079142024207488183191603066094867302274851408209161562196472627185861243239471360987259839668553810541197161303141253813264275710055206801996347252332812227469903429800390785873082786173337626096421170452409737152246875948865850487633711435886551375076509185416913355127882371024081834224488258386000239336533732116945580281903921924494316807817691156797500610949770841693483849196558599258677177705676976553150205835940759070498289537318393087261604572708010017854836977479828374989386550569063659418057201167954695411383147945528230357603719723696547333961155112227512439929740133098611028478305869122597767602582146640095838960695926111231800131722592648759637126341795289092147323739014629137162856102558399443776611642484170798487277697210069866968710484937247775411539481031091616532164626919230467431325286071942526953056351268465122294438939927278176983005832078321060029850695918105866066274046788062802911536026896981474014885913129520911433138796475692534782060893070985057746706217173247124181918725967990669403997597529414828421867709782091350185149307531843750815021462069060873453575319897052608945225640084772334413615797146036725174678922568067591496871308977483130768966854798748480320360870622758642995896034268261480756434754667920406093715528336844267867247338256307655462784524683809420997031711433610203696925756126945856673949133388697503272509570318063534023993896121971606390695349925517435873779906704805327266135931150033734455656611126074781992225597935828474911702362536852731103482395923168461628802728519468866722020764976600011998087549286313852498787283147187257577289747120355896768926636307688557050266379529593144392438596569456378549052059250084123434746695852427671287584079849438130271674182791128749594948820888742924263314384082546137614840418774285705037250753181482495539017794111186792812579490234863767435926094417745386364002239819233593542202017050428138443261649137703944886196732584922335620633467343749138099803112003180180690258536226891424336808618740692968322710999691689757811327180679514220956689022977 
<2324>

24365121414823865519974600188078325214486272351320529928314106563911512133032811171346414609165922133106336606192803444592124927878301232565928372829350024741449992880412370138518873384617443518879005827840951350608884767033142386127110233509696773041253859206652540664915840753610129687118015922633393354940606382607175246399925639842214537685061012212377583743732389912438048906046363259466539559751651270351991744927420309584378384826777751243942090578631347270681210823481880346979275465839019657471561422751980296359238902125494593628182105541964462430791948530929551097376823042136081183131457591308295169572587394350784620457315592766793383134110304549567556857751048839273721119844014286434235517868064434555564880709409133862088487161556299918877927542836809844574855794130207563549145672555325522080734798030718639277682845735863238580724053654701234623482171059786718115752537591725404839829898229676028891439557715781781990539817629468227436757227411195413777839967484901992264793398973010134979481270840249460764878721045843734818432185838876867604005475815171007208499204508892825711948217539972177886564445126091946810033457579139733887872912106113 
<1163>


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Michael H.W. Weber
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Re: looking for help

#2 Ungelesener Beitrag von Michael H.W. Weber » 28.09.2013 11:53

Yoyo?

Michael.
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Re: looking for help

#3 Ungelesener Beitrag von yoyo » 28.09.2013 18:22

how many curves at which b1 do you need?
HILF mit im Rechenkraft-WiKi, dies gibts zu tun.
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kotika98
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Re: looking for help

#4 Ungelesener Beitrag von kotika98 » 20.01.2014 16:23

Hi,

the first number can go to 110E6 for another 15000 curves.

the other two numbers for 11E6 for 4000 curves.

Thank you for the help!

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