fond of a factor? Urn yourself to become remains - Page 67

YuL · 2013-07-09, 05:40

P-1 found a factor in stage #2, B1=580000, B2=10295000.
M64880659 has a factor: 10670692725905246995092863
k=71×227×577×2393×3695257

83.142 bits

YuL · 2013-07-10, 11:05

The new box I built recently keeps producing factors, this is the 4-th factor found by P-1 in eleven days.

24717097045386588788273 | 2^65137063-1
k= 2³x571x751x1811x30539

74.388 bits

Jwb52z · 2013-07-10, 21:10

P-1 found a factor in stage #1, B1=570000.
UID: Jwb52z/Clay, M64004623 has a factor: 279375404361079322532001

77.887 bits.

Jwb52z · 2013-07-12, 23:13

P-1 found a factor in stage #1, B1=590000.
UID: Jwb52z/Clay, M62990033 has a factor: 15018873142841162348081

73.669 bits. This was just barely missed by trial factoring.

YuL · 2013-07-13, 12:11

P-1 found a factor in stage #2, B1=575000, B2=10062500.
M65868739 has a factor: 5063281531722375027978673
k=2³×3²×19×127×139×673×2364847

82.066 bits

YuL · 2013-07-17, 18:25

P-1 found a factor in stage #1, B1=595000.
M62996041 has a factor: 218792201673683490864635023
k=3×7×23×149×661×85133×428801

87.5 bits

YuL · 2013-07-18, 19:38

ECM found a factor in curve #6, stage #2
Sigma=2606317706517304, B1=1000000, B2=100000000.
M400069 has a factor: 17384946805580300647271050027369
k=22 × 3 × 251 × 7213624012067538472153

103.778 bits

flashjh · 2013-07-18, 23:56

Quote:

Originally Posted by YuL

ECM found a factor in curve #6, stage #2
Sigma=2606317706517304, B1=1000000, B2=100000000.
M400069 has a factor: 17384946805580300647271050027369
k=22 × 3 × 251 × 7213624012067538472153

103.778 bits

Nice one!

YuL · 2013-07-19, 08:54

Quote:

Originally Posted by flashjh

Nice one!

Yeah! First manual ECM attempt yields a > 100 bits factor, that's a little bit of luck, however the cofactor is composite :(

Code:

PFGW Version 3.7.5.64BIT.20130325.Win_Dev [GWNUM 27.8]

(2^400069-1)/17384946805580300647271050027369 is composite: RES64: [6469452311599D54] (722.2076s+259.6535s)

By the way
k=2² × 3 × 251 × 7213624012067538472153
instead of
k=22 × 3 × 251 × 7213624012067538472153
sorry for the typo.

YuL · 2013-07-19, 12:07

I just broke my previous record! And this is my first P-1 factor above 100 bits.

P-1 found a factor in stage #2, B1=575000, B2=10062500.
M65007727 has a factor: 256970873997374765936389524050401
k=2⁴×3³×5²×61×317×787×881×16451×829723

107.663 bits

alpertron · 2013-07-20, 00:40

Quote:

Originally Posted by alpertron

My personal record when factoring numbers using p-1 factorization method with B1 = 1E8, B2 = 2E9:

P-1 found a factor in stage #1, B1=100000000.
M155593 has a factor: 4247323922446492583452740413013704916736271 (43 digits, 142 bits)
k = 5 × 11 × 263 × 32029 × 8985259 × 9974369 × 12474779 × 26350243

New P-1 factorization record:

P-1 found a factor in stage #2, B1=100000000, B2=2000000000.
M164503 has a factor: 21054105612284665760256195805146033137688353 (44 digits, 143 bits)
k = 2⁴ × 7 × 97 × 757 × 1289 × 42737 × 23542721 × 36366457 × 164980549

2013-07-09, 05:40	#727
YuL Feb 2012 Paris, France A1₁₆ Posts	Found a factor for M64880659 P-1 found a factor in stage #2, B1=580000, B2=10295000. M64880659 has a factor: 10670692725905246995092863 k=71×227×577×2393×3695257 83.142 bits

2013-07-10, 11:05	#728
YuL Feb 2012 Paris, France A1₁₆ Posts	M65137063 has a factor The new box I built recently keeps producing factors, this is the 4-th factor found by P-1 in eleven days. 24717097045386588788273 \| 2^65137063-1 k= 2³x571x751x1811x30539 74.388 bits Last fiddled with by YuL on 2013-07-10 at 11:07 Reason: added link to exponent details page

2013-07-13, 12:11	#731
YuL Feb 2012 Paris, France A1₁₆ Posts	M65868739 has a factor P-1 found a factor in stage #2, B1=575000, B2=10062500. M65868739 has a factor: 5063281531722375027978673 k=2³×3²×19×127×139×673×2364847 82.066 bits

2013-07-17, 18:25	#732
YuL Feb 2012 Paris, France 7·23 Posts	M62996041 has a factor P-1 found a factor in stage #1, B1=595000. M62996041 has a factor: 218792201673683490864635023 k=3×7×23×149×661×85133×428801 87.5 bits

2013-07-18, 19:38	#733
YuL Feb 2012 Paris, France 7×23 Posts	My first factor above 100 bits ECM found a factor in curve #6, stage #2 Sigma=2606317706517304, B1=1000000, B2=100000000. M400069 has a factor: 17384946805580300647271050027369 k=22 × 3 × 251 × 7213624012067538472153 103.778 bits

2013-07-10, 21:10	#729
Jwb52z Sep 2002 17·47 Posts	P-1 found a factor in stage #1, B1=570000. UID: Jwb52z/Clay, M64004623 has a factor: 279375404361079322532001 77.887 bits.

2013-07-12, 23:13	#730
Jwb52z Sep 2002 17×47 Posts	P-1 found a factor in stage #1, B1=590000. UID: Jwb52z/Clay, M62990033 has a factor: 15018873142841162348081 73.669 bits. This was just barely missed by trial factoring.

2013-07-19, 12:07	#736
YuL Feb 2012 Paris, France 7×23 Posts	M65007727 has a factor I just broke my previous record! And this is my first P-1 factor above 100 bits. P-1 found a factor in stage #2, B1=575000, B2=10062500. M65007727 has a factor: 256970873997374765936389524050401 k=2⁴×3³×5²×61×317×787×881×16451×829723 107.663 bits

Similar Threads
Thread	Thread Starter	Forum	Replies	Last Post
A new factor of F11?!	siegert81	FermatSearch	2	2018-01-24 04:35
A fond farewell	rogue	Lounge	10	2008-11-21 05:25
who can factor 10^100+27?	aaa120	Factoring	17	2008-11-13 19:23
New factor	fivemack	ElevenSmooth	4	2008-05-07 19:28
Shortest time to complete a 2^67 trial factor (no factor)	dsouza123	Software	12	2003-08-21 18:38