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The factors of 11,199-
Hot off the press:
[QUOTE] The NFSNet Factoring Group is pleased to announce the completion of the factorization of 11^199-1. With this result, we believe that the Cunningham Tables are now complete for all exponents through 200. Factorization completed at Sat Sep 25 01:26:33 2004 Original number had 173 digits: [i]181424312986742600742748179839931662419311819046686898199346661744653957 779372366959127525442201249895067449578778479644871613742902249743241644 54105724218985841096839560767[/i] Probable prime factor 1 has 68 digits: [i]74228785249216074982007362154907801499582555623361265045414501593697[/i] Probable prime factor 2 has 105 digits: [i]244412342701861216628558491806167083777646790639217220958013679215078180 469414019465786543673741193393311[/i] I would like to thank all of the individuals who assisted in the effort. A formal announcement will follow. Richard Wackerbarth[/QUOTE] |
Hi,
Can you post the details of the linear algebra? How big was the matrix? What was its density? How long did it take to solve? etc. Bob |
Here are some details from Richard about the linear algebra:
We collected about 46.1 million relations. After filtering these were reduced to a matrix with dimensions 2387874 x 2390123. The matrix weight was 91470168. Total time to solve the matrix on one CPU of Richard's G5 PowerMac was 824595 seconds (about 9.5 days). -Don Leclair |
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