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YuL 2013-07-09 05:40

Found a factor for M64880659
 
[SIZE=2]P-1 found a factor in stage #2, B1=580000, B2=10295000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=64880659"]M64880659[/URL] has a factor: 10670692725905246995092863[/SIZE]
k=71×227×577×2393×3695257

83.142 bits

YuL 2013-07-10 11:05

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.

[SIZE=2]24717097045386588788273 | [/SIZE][URL="http://www.mersenne.ca/exponent.php?exponentdetails=65137063"]2[SUP]65137063[/SUP]-1[/URL]
k= 2[SUP]3[/SUP]x571x751x1811x30539

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

M65868739 has a factor
 
P-1 found a factor in stage #2, B1=575000, B2=10062500.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=65868739"]M65868739[/URL] has a factor: 5063281531722375027978673
k=2[SUP]3[/SUP]×3[SUP]2[/SUP]×19×127×139×673×2364847

82.066 bits

YuL 2013-07-17 18:25

M62996041 has a factor
 
P-1 found a factor in stage #1, B1=595000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=62996041"]M62996041[/URL] has a factor: 218792201673683490864635023
k=3×7×23×149×661×85133×428801

87.5 bits

YuL 2013-07-18 19:38

My first factor above 100 bits
 
ECM found a factor in curve #6, stage #2
Sigma=2606317706517304, B1=1000000, B2=100000000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=400069"]M400069[/URL] has a factor: 17384946805580300647271050027369
k=22 × 3 × 251 × 7213624012067538472153

103.778 bits

flashjh 2013-07-18 23:56

[QUOTE=YuL;346671]ECM found a factor in curve #6, stage #2
Sigma=2606317706517304, B1=1000000, B2=100000000.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=400069"]M400069[/URL] has a factor: 17384946805580300647271050027369
k=22 × 3 × 251 × 7213624012067538472153

103.778 bits[/QUOTE]
Nice one!

YuL 2013-07-19 08:54

[QUOTE=flashjh;346698]Nice one![/QUOTE]

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)[/CODE]

By the way
k=[B]2[SUP]2[/SUP][/B] × 3 × 251 × 7213624012067538472153
instead of
k=22 × 3 × 251 × 7213624012067538472153
sorry for the typo.

YuL 2013-07-19 12:07

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.
[URL="http://www.mersenne.ca/exponent.php?exponentdetails=65007727"]M65007727[/URL] has a factor: 256970873997374765936389524050401
k=2[SUP]4[/SUP]×3[SUP]3[/SUP]×5[SUP]2[/SUP]×61×317×787×881×16451×829723

107.663 bits

alpertron 2013-07-20 00:40

[QUOTE=alpertron;342557]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
[/QUOTE]
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 = 2[SUP]4[/SUP] × 7 × 97 × 757 × 1289 × 42737 × 23542721 × 36366457 × 164980549


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