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