20140210, 02:19  #848 
Jan 2013
1101101_{2} Posts 
Tasty factor, considering the ECM bounds used.
Last fiddled with by prgamma10 on 20140210 at 02:22 
20140210, 03:18  #849 
Jun 2013
107 Posts 

20140212, 00:36  #850 
"GIMFS"
Sep 2002
Oeiras, Portugal
2·3^{2}·83 Posts 
Very nice one. It´s not every day that one finds factors for numbers this small...
Last fiddled with by lycorn on 20140212 at 00:36 
20140309, 11:03  #851 
"Oliver"
Mar 2005
Germany
11·101 Posts 
Hello,
IIRC this is my second biggest "regular P1 factor": P1 found a factor in stage #2, B1=620000, B2=12710000, E=12. M67894507 has a factor: 118932379415737719145680729417648731019161 (136.44 Bits) k = 875861573129455959859026072739940 = 2 * 2 * 5 * 19 * 2897 * 15667 * 214589 * 283697 * 370423 * 2251943 and this might be my biggest "regular P1 double factor" so far: P1 found a factor in stage #1, B1=635000. M66012833 has a factor: 25442648702559071526003179150718822132839669303705434471 (184.05 Bits) f_{1} = 93709867836738562740151 (76.31 Bits) k_{1} = 3 * 5 * 5 * 8641 * 11071 * 98927 f_{2} = 271504477488809212102512933946321 (107.74 Bits) k_{2} = 2 * 2 * 2 * 3 * 5 * 43 * 137 * 5737 * 27823 * 54217 * 336143 Oliver 
20140311, 12:17  #852 
"Mark"
Feb 2003
Sydney
3×191 Posts 
Those are massive  nice finds!

20140326, 01:47  #853 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
5·1,913 Posts 
how 'bout some EisensteinFermat numbers?
Mike Oakes described many years ago the EisensteinFermat numbers.
Mike Oakes reported that EF_{n} are prime for 0<=n<=3, and then we have composites up to n<=19 (DC'd). Here are some more eliminations: Code:
1814704020258817  3^(2^20)3^(2^19)+1 449939767297  3^(2^21)3^(2^20)+1 EF_{22} LLR test is in progress (most likely known C) EF_{23} LLR test is in progress (most likely known C) 841781914632193  3^(2^24)3^(2^23)+1 10871635969  3^(2^25)3^(2^24)+1 EF_{26} ?? 3819992499879937  3^(2^27)3^(2^26)+1 EF_{28} ?? 156071646883479553  3^(2^29)3^(2^28)+1 ... 5566277615617  3^(2^32)3^(2^31)+1 131985100920324097  3^(2^34)3^(2^33)+1 39582418599937  3^(2^38)3^(2^37)+1 
20140401, 20:56  #854 
Jun 2013
7·13 Posts 
From one of my aliquot sequences:
Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1045294942 Step 1 took 5593ms Step 2 took 2784ms ********** Factor found in step 2: 7709785821798716085231895649922705932140748936402071 Found probable prime factor of 52 digits: 7709785821798716085231895649922705932140748936402071 Probable prime cofactor (679244561234214691156167254744998224687295035638998699333453501573680827350025562911300646832911553455921867383084123581660457/55577579143)/7709785821798716085231895649922705932140748936402071 has 64 digits 
20140402, 09:45  #855  
Banned
"Luigi"
Aug 2002
Team Italia
1001011011011_{2} Posts 
Quote:
Luigi 

20140416, 19:25  #856 
Aug 2002
Buenos Aires, Argentina
1381_{10} Posts 
At this moment I'm running p1 algorithm with B1=10M, B2=500M in the range 9000001000000.
My computer found a new personal record: P1 found a factor in stage #2, B1=10000000, B2=500000000, E=12. M985979 has a factor: 208259944761322336790033394725144178055361063 More details about this Mersenne number at: http://www.mersenne.ca/exponent/985979 
20140522, 00:41  #857 
"GIMFS"
Sep 2002
Oeiras, Portugal
2·3^{2}·83 Posts 
A somehow unexpected finding from my old snail:
UID: lycorn/snail, M947857 has a factor: 4558968051813269609 61.983 bits K=2^2 × 601220444093 => P1 had obviously missed it... 
20140611, 21:41  #858 
Aug 2002
Dawn of the Dead
353_{8} Posts 
My first ECM find:
Code:
[Wed Jun 11 22:35:04 2014] ECM found a factor in curve #6, stage #1 Sigma=1167748058492201, B1=50000, B2=5000000. UID: PageFault/boxen_40, M9178789 has a factor: 64337196736770344347561 May there be many more ... 
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