From p2934@lobster.dataplex.netThu Mar 7 09:42:18 1996 Date: Tue, 5 Mar 1996 15:37:59 EST From: Factoring Distribution To: Multiple recipients of list NMBRTHRY Subject: Factorization of "most wanted" number It is my pleasure to announce that our factoring group has successfully completed the factorization of some more of the "most wanted" numbers from the Cunningham Project. It is a cooperative effort that allows us to accomplish these in rapid sequence. First the results: 10^158 +1 = 101 * 5689 * 507998564486483655774880939989709 * C120 We factored the C120 cofactor into two primes of 69 and 51 digits: Original number had 120 digits: 34259435868935780053563264296114408614635609220350078442579770766959587282719729 1891165896611202348682216686730018255401 Prime factor 1 has 69 digits: 530084044837791203267418958734478905892862260111193658629289735929681 Prime factor 2 has 51 digits: 646301962916453492325383567253991760083617720844121 2^524 +1 = 17 * 1271332666556177 * 36441674155824796521521 * C119 We factored the C119 cofactor into two primes of 38 and 81 digits: Original number had 119 digits: 69728653655857538924318110041568800668154552819391565618702990425839084543392729 672854246160976538938806378478012530353 Prime factor 1 has 81 digits: 78675439649430687755140979074900090680818309780113306010860265814335525041005995 3 Prime factor 2 has 38 digits: 88628235147538969385874281472055436801 These efforts involved 61 sieving machines. However, we are not resting here. We have nearly completed some additional factorizations and we are just starting another. I would like to thank the following individuals for their assistance in the sieving. Damien.Doligez@inria.fr HJSmith@ix.netcom.com Michel.Kern@inria.fr Paul.Zimmermann@loria.fr gene@starkhome.cs.sunysb.edu hodgeman@csd.uwm.edu jhowe@zycad.com jreiser@teleport.com lamontg@u.washington.edu leo@zycad.com mjj@bain.oz.au mmex@shadowland.res.cmu.edu oyvind.eilertsen@fou.telenor.no rayvt@comm.mot.com rkw@dataplex.net --- Richard Wackerbarth rkw@dataplex.net