[QUOTE=ckdo;285810]M7175153 has a factor: 7445119556513212989927121 [83 bits]

k = 2^3 * 3^5 * 5 * 7 * 113 * 569 * 118,592,029

P-1, stage 2, B1=455000, B2=13991250, E=12[/QUOTE]


Wow. Brent-Suyama found it? That's the first I've seen it.

[QUOTE=alpertron;286366]I am running P-1 using B1 = 10M and B2 = 200M on the 3xxxxx range. I found some factors, but this is interesting:

M325517 has a factor: 20823082720665516480026432503
k = 3 ^ 3 x 107 x 223 x 9805721 x 5063017369

The second greatest prime factor is just below B1 and the greatest prime factor is more than 25 times B2.[/QUOTE]

Same here, it would seem.

[QUOTE=Brain;284711]How could I miss that... Sorry. Beat this![/QUOTE]

M50,232,683 has a factor: [URL="http://mersenne-aries.sili.net/exponent.php?factordetails=3312819927398148201283212927854847645967"][COLOR=#0066cc]3312819927398148201283212927854847645967[/COLOR][/URL]

k= 3[SIZE=2][SUP][SIZE=2]2[/SIZE][/SUP] × 487 × 503 × 691 × 45497 × 248161 × 404507 × 4739381[/SIZE]

I found it December 18, 2011. 40 digits, 132 bits. The link takes you to Mersen-aires.

B2 saturation
 

[QUOTE=Chuck;287032]M50,232,683 has a factor: [URL="http://mersenne-aries.sili.net/exponent.php?factordetails=3312819927398148201283212927854847645967"][COLOR=#0066cc]3312819927398148201283212927854847645967[/COLOR][/URL]

k= 3[SIZE=2][SUP][SIZE=2]2[/SIZE][/SUP] × 487 × 503 × 691 × 45497 × 248161 × 404507 × 4739381[/SIZE]

I found it December 18, 2011. 40 digits, 132 bits. The link takes you to Mersen-aires.[/QUOTE]
Awesome. Waiting for more to come...

Meanwhile, I post my closest B2 find so far, B2 was 14,066,250:
[CODE]M56605037 has a factor: 11454648301977844461209
k = 2 * 2 * 31 * 58417 * 13968049
Saturation(B2) = 0.993 = 13968049 / 14066250[/CODE]

What's the rule for composites?
[url]http://mersenne-aries.sili.net/exponent.php?exponentdetails=52567117[/url]
5^2 × 67 × 389 × 607 × 240631
2^2 × 5 × 13 × 17 × 113 × 3581 × 4517 × 7507

73 and 82 bits respectively (total=155)

And dang, 0.993 is ridiculously close to 1, that's gonna be hard to beat

Morning glory
 

M7293457 has a factor: 533975545077050000610542659519277030089249998649 [159 bits]
= 114899029154970496577 [67 bits] * 4647346013314424799552178937 [92 bits]

k1 = 2^5×7×19433×1809527
k2 = 2^2×7×17×29×227×1103×126499×728699

P-1 S2, B1=460000, B2=14260000

Wow. That's big.

Congratulations Michel Kenn
 

[URL="http://www.kenn.at/"][COLOR=#0066cc]Michael Kenn[/COLOR][/URL] Manual testing 1721 F-ECM Feb 3 2012 4:45PM 0.0 0.0000 13017424887805605413748227640619647231549577734497

5th largest factor found since 2011-01-01
Factor of M1721

Michael Kenns factor is in place 69 ever
 

Michael Kenns factor found yesterday is the 69th largest of all prime factors found ever of Mersenne numbers with prime exponent. Well done!

M58121533 has a factor: 4587597268738219322985479392479497743
121.78 Bits; k = 39465556326071262805348573587 = 3[SUP]2[/SUP] * 7[SUP]3[/SUP] * 17 * 131 * 727 * 1039 * 53309 * 81727 * 1744397

My new personal record and my first P-1 factor >2[SUP]120[/SUP].

Congrats
 

[QUOTE=TheJudger;288382]M58121533 has a factor: 4587597268738219322985479392479497743
121.78 Bits; k = 39465556326071262805348573587 = 3[SUP]2[/SUP] * 7[SUP]3[/SUP] * 17 * 131 * 727 * 1039 * 53309 * 81727 * 1744397

My new personal record and my first P-1 factor >2[SUP]120[/SUP].[/QUOTE]
:groupwave:

[QUOTE=TheJudger;288382]M58121533 has a factor: 4587597268738219322985479392479497743
121.78 Bits; k = 39465556326071262805348573587 = 3[SUP]2[/SUP] * 7[SUP]3[/SUP] * 17 * 131 * 727 * 1039 * 53309 * 81727 * 1744397

My new personal record and my first P-1 factor >2[SUP]120[/SUP].[/QUOTE]

[URL="http://mersenne-aries.sili.net/exponent.php?exponentdetails=58121533"]Link[/URL] to James' site. Awesome find!