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First of all, you should choose 1)
which composites to factor and 2) which methods to use. After that
you should 3) send an e-mail with your decision, then do some factoring
work and 4) send your results.
1) Choosing composites.
You may download a complete list of composites and take some work from it. The composites are sorted by x, then by y; reserved ones are moved to the end of the list and marked as comments. 2) Choosing methods.
A few dozens of composites is normal for ECM or P±1. Some work have already been done, please check this list before reservation to avoid wasting your time. Several composites are usually reserved for NFS or probably QS (if the composite is enough small, say, a C100- cofactor from an ECM effort). When choosing a sieve method, be sure that the composites you want to factor passed enough ECM loops. There is a good explanation how to use NFS factoring programs, written by Jeff Gilchrist. The smallest composites (roughly, with less than 150 digits) may be factored with GNFS, but sometimes SNFS appears faster. Most of the numbers are good SNFS targets; to build an SNFS polynomial for a given number, feel free to ask our Yahoo! group, or use a program snfspoly.c written by Torbjörn Alm. Please look through the Records tables, you may have a good chance to occupy some place in them. 3) Sending a choice.
4) Sending results.
Good luck and happy factoring! |