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News 05th Apr 2005 There are some results missing in the announcements section. Until more detailed information is available, the raw results are: 2,716+ 716 (4) 94513.10240246321.6249618890312649605712432659622854 257.22562882829685667659941188646849469227356664645922433.P111 5,304+ 304 (16) 40129.52289.912480527030336132161.2183537135273821797 71166705049588259776583489.P127 5,307+ 307 (1) 1229.11025070531745749.814616586610803721.2297296977063 162527.75440744459065806966503434856483134981675629932542771358 9455248131953556687063.P81 27th Jan 2005 Sieving for 5^307-1 is done and we've now switched to its twin, 5^307+1. As with the previous project, this one will likely require a bit more than 15,000 work units of sieving. 12th Dec 2004 Sieving for 2^689+1 is already done! All sievers are now working on 5^307-1. This project will likely require a bit more than 15,000 work units of sieving. 8th Dec 2004 Sieving for 2^716+1 is now complete and the relations are being gathered for post-processing. All sievers are now working on 2^689+1. This project will be an easy one compared to previous efforts, requiring only a few days of sieving. 3rd Nov 2004 Sieving for 5^304+1 is now complete and the relations are being gathered for post-processing. All sievers are now working on 2^716+1. 2nd Oct 2004 Sieving for 6^257+1 is now complete and the relations are being gathered for post-processing. All sievers are now working on 5^304+1. This project is somewhat harder than the previous two, requiring an estimated 13,000 work units. 27th Sept. 2004 Sieving for 7^233+1 has completed and the post processing steps have begun. We're continuing to sieve on 6^257+1, which was running in a parallel with the previous project, and we expect it will be complete in a couple of days. The next project will be 5^304+1. 5^304+1 is a 213-digit composite. Several factors are already known, leaving a 172-digit composite. As usual, we will use SNFS on the entire 213-digit composite. 25th September 2004 NFSNET is pleased to announce the factorization o 11^199-1. The C173 was split into two primes of 69 and 105 digits. P69 = 74228785249216074982007362154907801499582555623361265045414501593697 P105 = 244412342701861216628558491806167083777646790639217220958013679215\ 078180469414019465786543673741193393311 26th August 2004 We finished the sieving for 3^491+1 on 22nd August and transferred to the next project which is the 173-digit cofactor of 11^199-1. Post-processing of the 3_491P project data is now underway. 9th June 2004 The factorization of 2_1137P, also known as 2,1137+.c182 completed today. The linear algebra finished at around 1am, and the square root step finished just after 1pm, both times being Cambridge local time (which is currently GMT+1). The original number had 182 digits. The factors have 78 digits and 104 digits. They are:
p78 = 56411466669825523511588968761041896964539753639515-
p104 = 24233901187268976846937252658041681349627484611774-
Post-processing continues for the queued-up projects: 10^223+1 and
11^206+1. The linear algebra has already started and, with luck, both
should be completed within the next week or so.
However, we now know:
Original number had 239 digits:
41886902330626801033410331379679151374450468353775592251134232856248633-
Probable prime factor 1 has 83 digits:
23119812387308695110542195466723573149999671437304578090473901521408187-
Probable prime factor 2 has 66 digits: 120561845344829717145833822890964664477289164454661659494292322521
Probable prime factor 3 has 92 digits:
15027407098633642094023724924629416240581289482791222070473057361777251-
Post-processing has begun for the queued-up projects: 10^223+1,
2^1137+1 and 11^206+1 and the linear algebra has already started for
the first two of these. With luck all should be completed within the
next two weeks or so.
The linear algebra stage for the factorisation of 2^811-1 finished after fifteen thousand PIII-CPU hours but unfortunately did not generate any usuable results. After some modifications a new matrix-run was kicked off at May, 10th and we expect that run to finish around June, 4th. The sieving for 2^1137+1 and 11^206+1 is completed and the results are queued for post-processing. That will start as soon as ressources are available.
The post processing for 10^223+1 continues to run on Richard Wackerbarths G5 machine and
results are expected in mid-june.
The sieving for 2^1137+1 is completed and the results are queued for post-processing. That will start as soon as ressources are available.
The post processing for 10^223+1 continues to run on Richard Wackerbarths G5 machine and
results are expected in mid-june.
The matrix for 10^223+1 can't be run on the cluster at MSR Cambridge until
the 2^811-1 matrix is finished, so Richard Wackerbarth has made a start on
it using his Mac G5 machine. We have not yet decided whether he will complete
the computation or whether it will be finished on a cluster.
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Statistics Statistics for 11^208+1 Statistics for 7^254+1 Statistics for 5^307+1 Statistics for 5^307-1 Statistics for 11^199-1 Statistics for 3^491+1 Statistics for 7^233+1 Statistics for 6^257+1 Statistics for 5^304+1 Statistics for 2^716+1 Statistics for 2^689+1 Statistics for 3^491+1 Statistics for 11^206+1 Statistics for 2^1137+1 Statistics for 10^223+1 |