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 2009-01-12, 04:27 #1 WraithX     Mar 2006 23×59 Posts Lucky gmp-ecm curve... I just found a 41 digit factor using a B1=1e6! I was hoping it might make it onto the Top list for 2009, but I see the last entry is already at 42 digits. Oh well, Just wanted to share with everyone. Has anyone else had a lucky curve, where you found a factor that is "many" digits above what was expected? echo "10^121-8363" | ./ecm -sigma 242376148 1000000 GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM] Input number is 10^121-8363 (121 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=242376148 Step 1 took 13469ms Step 2 took 7797ms ********** Factor found in step 2: 57315926928065111052544509749282072073751 Found probable prime factor of 41 digits: 57315926928065111052544509749282072073751 Composite cofactor (10^121-8363)/57315926928065111052544509749282072073751 has 81 digits
 2009-01-12, 05:22 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 9,257 Posts The probability of a p41 with 904 B1=1e6 curves is ~0.1. Not very rare. If the c81 splits p41.p41, then I'd say you had something (a 3-brilliant split). Ah. Alas, no... Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=161802477 Step 1 took 1828ms ********** Factor found in step 1: 1766409430355415794746950731 Found probable prime factor of 28 digits: 1766409430355415794746950731 Probable prime cofactor ((10^121-8363)/57315926928065111052544509749282072073751)/1766409430355415794746950731 has 53 digits
2009-01-12, 08:26   #3
henryzz
Just call me Henry

"David"
Sep 2007
Cambridge (GMT/BST)

10110101000002 Posts

Quote:
 Originally Posted by WraithX I just found a 41 digit factor using a B1=1e6! I was hoping it might make it onto the Top list for 2009, but I see the last entry is already at 42 digits. Oh well, Just wanted to share with everyone. Has anyone else had a lucky curve, where you found a factor that is "many" digits above what was expected? echo "10^121-8363" | ./ecm -sigma 242376148 1000000 GMP-ECM 6.1.2 [powered by GMP 4.2.1] [ECM] Input number is 10^121-8363 (121 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=242376148 Step 1 took 13469ms Step 2 took 7797ms ********** Factor found in step 2: 57315926928065111052544509749282072073751 Found probable prime factor of 41 digits: 57315926928065111052544509749282072073751 Composite cofactor (10^121-8363)/57315926928065111052544509749282072073751 has 81 digits
why are you still using 6.1.2

2009-01-12, 13:05   #4
WraithX

Mar 2006

1110110002 Posts

Quote:
 Originally Posted by henryzz why are you still using 6.1.2
Because I have made additions to it that are useful in my search for brilliant numbers. I actually call my binary 6.1.2.1. But I haven't changed the version number that is output by the program, so 6.1.2 is what shows up.

I should probably diff this against 6.2.1, and see if it will apply cleanly. I made modifications to 6.0.1, and reimplemented those in 6.1, and then reimplented those in 6.1.2. (back before I knew a tool like diff existed, still not sure if it'll work) I didn't know how fast gmp-ecm was going to keep getting updates, so I just stopped at 6.1.2 since it worked well for me.

 2009-01-12, 16:29 #5 MatWur-S530113     Apr 2007 Spessart/Germany 2×34 Posts Hello, this is a curve 11 digits above the nominal size of 30 digits: Code:  (08/12/25) GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is ((367#)+((397#)/(367#)))/854170501969645699246152769 (122 digits) Using B1=250000, B2=128992510, polynomial Dickson(3), sigma=280297040 Step 1 took 3235ms Step 2 took 1687ms ********** Factor found in step 2: 12277223854594410567719074755920634852313 Found probable prime factor of 41 digits: 12277223854594410567719074755920634852313 Probable prime cofactor (((367#)+((397#)/(367#)))/854170501969645699246152769)/12277223854594410567719074755920634852313 has 82 digits best regards, Matthias

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