[QUOTE=GP2;444523]Hah, I can top that:

[URL="http://www.mersenne.org/report_exponent/?exp_lo=5501&full=1"]M5501[/URL], factor 124424631532117825221239927348589023

k = 11309273907663863408583887234011 (a 32-digit prime)[/QUOTE]

The result is wonderful. A little bit of its value decreases, that this is't ... the first factor :smile:

[QUOTE=GP2;444523]Hah, I can top that[/QUOTE]By peeking in the database I can top that too :wink:

Actually the way the factored k values are stores are not easily searchable to find the largest component, but by looking at exponents with k longer than 100 digits I believe the two winners are:

132-digit: [url=http://www.mersenne.ca/M1129]M1129[/url] = 5 * 349 * 680893544214512409631723241923984408474147200813444413919110673154410812361054312317836168473471660651160327499621967599043897690871

128-digit: [url=http://www.mersenne.ca/M1109]M1109[/url] = 377609968577357 * 29390896242584729489297434180738860022421056237104270110730836700511316902860789212658605173244533094779061821974098972841052043

P-1 found a factor in stage #1, B1=2700000.
UID: mikr/MSI, M2748857 has a factor: 2283574827904867564040066470770610598552767 (P-1, B1=2700000)
43 digits 140.712 bits
This is my new high score record found by P-1

[QUOTE=Miszka;448259]
43 digits 140.712 bits
This is my new high score record found by P-1[/QUOTE]

One-upmanship:

[URL="http://www.mersenne.ca/exponent/2797"]M2797[/URL]:
99966410000212091183671262757251795787241105921
47 digits 156.130 bits
Was found with P−1 stage 1, B1=100,000,000,000

( k = 2[SUP]8[/SUP] × 3[SUP]3[/SUP] × 5 × 13 × 89 × 12503047 × 306137893 × 1814314547 × 64354512667 )

P-1 found a factor in stage #2, B1=670000, B2=12730000.
UID: Jwb52z/Clay, M80126297 has a factor: 11647669222017335700785687 (P-1, B1=670000, B2=12730000),

83.268 bits.

P-1 found a factor in stage #2, B1=670000, B2=12730000.
UID: Jwb52z/Clay, M80254519 has a factor: 2066533873402962369354743 (P-1, B1=670000, B2=12730000).

80.773 bits.

P-1 found a factor in stage #1, B1=675000.
UID: Jwb52z/Clay, M80582011 has a factor: 6767080053629333125464247 (P-1, B1=675000)

82.485 bits.

P-1 found a factor in stage #1, B1=675000.
UID: Jwb52z/Clay, M80672513 has a factor: 7720342787621215578700001 (P-1, B1=675000)

82.675 bits.

[url=http://mersenne.ca/M78044321]M78044321[/url] has a factor: 136965029078438306789901990063200306098597292653297 (P-1, B1=655000, B2=13100000, E=12)

Composite (77+90 bits) of course, but this is a P-1 re-run (previously ran with stage1 only that missed both factors).

Congrats, James.

On this side of the pond, I have no specific factor to report, but I just reported in a streak of 11 successes in 159 TF-73 attempts on consecutive candidates from 90505267 to 90512179.

That's a 1 in 14.45 success ratio, or roughly five times as high as you'd expect, on average.

I'd call that noteworthy. Nontheless, I'll spare you the smallish factors. :yawn:

[URL="http://mersenne.org/M80910023"]M80910023[/URL] has a factor: 8761542675966749331731213096500505849 (P-1, B1=680000, B2=13600000, E=6)
122.72 bits