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Author | Message |
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Send message Joined: 24 Mar 19 Posts: 4 Credit: 5,734 RAC: 0 |
Hi, I would like an explanation concerning the number notation. I was assuming that, since we're speaking of Cunningham numbers here, b,n+/- would be (b^n)+/-1, but from what I've seen from the completed factorisations, I'm getting something wrong. |
Send message Joined: 26 Sep 09 Posts: 218 Credit: 22,841,893 RAC: 0 |
Hi Davide, Welcome aboard NFS@Home. For the Cunningham project notation description please read the following two links: http://homes.cerias.purdue.edu/~ssw/cun/intro And http://homes.cerias.purdue.edu/~ssw/cun/notat Kind regards Carlos |
Send message Joined: 24 Mar 19 Posts: 4 Credit: 5,734 RAC: 0 |
Hi Carlos, thank you for these links, but when I try to use them my browser returns a 403 (Forbidden) error, and it displays this "You don't have permission to access / on this server.". I also have noticed that Cunningham numbers are not the only ones being factored here, where can I find a description of the other ones? Sorry for my ignorance! |
Send message Joined: 26 Sep 09 Posts: 218 Credit: 22,841,893 RAC: 0 |
Hi Davided, Details on Cunningham Numbers can be found here: http://homes.cerias.purdue.edu/~ssw/cun/ OddPerfect: http://www.lirmm.fr/~ochem/opn/ XYYXF: http://www.primefan.ru/xyyxf/default.html Homogeneous Cunningham numbers: https://brnikat.com/nums/anbn/main.htm Cullen and Woodall numbers and their generalization to other bases: https://www.brnikat.com/nums/cullen_woodall/cw.html Brent tables reservations: https://maths-people.anu.edu.au/~brent/factors.html Repunit https://stdkmd.net/nrr/repunit/ Fibonacci and Lucas Factorizations http://mersennus.net/fibonacci/ |
Send message Joined: 26 Sep 09 Posts: 218 Credit: 22,841,893 RAC: 0 |
Here's the poly for GX139_123 (C206 xyyz139_123 139^123+123^139). n: 32030731016440682777065354721302752319396528561887718275010943791422401733138770874875013988992282966916694379386222588227067753509923096299768661077024692164623187468602947896220375896898149402189690061819 # MurphyE(Bf=1.000e+07,Bg=5.000e+06,area=1.000e+16) = 2.107e-15 skew: 758009406.84691 c0: 137590190631534878358422419258553863917875388884862 c1: 164573777586510141237335590511706400855489 c2: -1450105737514750858673830964438693 c3: 464312981092984010304351 c4: 1251482803942791 c5: 1411200 Y0: -12601339721892862582748708202204842976691 Y1: 743324161454990349821163538 type: gnfs lss: 0 alim: 250000000 rlim: 250000000 lpbr: 33 lpba: 33 mfbr: 67 mfba: 96 rlambda: 2.6 alambda: 3.6 |