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 2021-08-20, 11:39 #1926 nordi   Dec 2016 10110112 Posts M1897121 has a 77.294-bit (24-digit) factor: 185310913945752397948441 (ECM,B1=50000,B2=6750000) <-- the 9th known factor M194653 has a 119.349-bit (36-digit) factor: 846314715301812068679342636153284159 (ECM,B1=1000000,B2=135000000) <-- the 9th known factor M599803 has a 106.747-bit (33-digit) factor: 136181509257226777136568353013047 (ECM,B1=3000000,B2=528000000) <-- the 10th known factor! I'll run more curves on them, maybe I get lucky and beat the current record of 11 known factors.
 2021-08-20, 15:00 #1927 firejuggler     "Vincent" Apr 2010 Over the rainbow 2×32×149 Posts Wow, very nice!
 2021-08-25, 07:29 #1928 Happy5214     "Alexander" Nov 2008 The Alamo City 52·31 Posts New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits) It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent. Last fiddled with by Happy5214 on 2021-08-25 at 07:29 Reason: Add M
2021-08-25, 09:52   #1929
axn

Jun 2003

26×34 Posts

Quote:
 Originally Posted by Happy5214 New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits)
Wow! That is one super-smooth factor.

2021-08-25, 19:39   #1930
masser

Jul 2003
Behind BB

33418 Posts

Quote:
 Originally Posted by Happy5214 New P+1 factor: 67111165753873384058235537928247 for M5210563 (B1=1,250,000, start=2/7) (105.726 bits) It's my largest non-ECM factor ever and just half a bit off my personal best. All from stage 1 with low (but recommended) bounds. Plus it's the first factor for that exponent.

 2021-08-26, 11:48 #1931 Zhangrc   "University student" May 2021 Beijing, China 2·32·7 Posts M111298777 has a factor: 135398831970267435540791 (76.842 bits) k = 5 × 23 × 37 × 313 × 1069 × 427241 Another P-1 smooth factor found by TF.
2021-08-27, 15:16   #1932
Zhangrc

"University student"
May 2021
Beijing, China

2×32×7 Posts

Quote:
 Originally Posted by Zhangrc M111298777 has a factor: 135398831970267435540791 (76.842 bits)
M111298699 has a factor: 82602996758522984927977 (76.129 bits)

2 factors were found out of 22 trials in the 111.2M range. That's lucky enough, for there were some time when I tested more than 500 exponents without finding a single factor.

 2021-08-27, 21:30 #1933 Jwb52z     Sep 2002 3·269 Posts P-1 found a factor in stage #1, B1=762000. UID: Jwb52z/Clay, M105693659 has a factor: 215018688290325922746529 (P-1, B1=762000) 77.509 bits.
 2021-08-29, 17:51 #1934 bur     Aug 2020 79*6581e-4;3*2539e-3 2·211 Posts I was running a few ECM small assignments and a factor turned up. Sigma=5667910856171759, B1=50000, B2=5000000. M2088329 has a factor: 185217242100981866539823 24 digits, 77.3 bits k = 197 * 1237 * 181977029831
 2021-08-30, 03:16 #1935 Happy5214     "Alexander" Nov 2008 The Alamo City 52·31 Posts M5211229 gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) and a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).
2021-08-30, 03:49   #1936
LaurV
Romulan Interpreter

"name field"
Jun 2011
Thailand

24×613 Posts

Quote:
 Originally Posted by Happy5214 M5211229 gave me a 114.058-bit P-1 factor (21623513459060090628814036845352337) (an all-time personal best by almost 8 bits) and a separate 90.559-bit stage 1 P+1 factor (1824415976895261507796344041).
That's Totally B-E-A-Utiful!
Congrats!

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