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Jwb52z 2012-12-14 18:09

P-1 found a factor in stage #2, B1=555000, B2=10406250.
UID: Jwb52z/Clay, M59636569 has a factor: 142805156199906713570257

76.918 bits.

kracker 2012-12-15 03:47

1 Attachment(s)
A couple of factors in the 334M range.

Jwb52z 2012-12-21 16:21

P-1 found a factor in stage #1, B1=555000.
UID: Jwb52z/Clay, M59835911 has a factor: 75271232967983331326401

75.995 bits.

Jwb52z 2012-12-27 03:35

P-1 found a factor in stage #2, B1=560000, B2=10640000.
UID: Jwb52z/Clay, M60030521 has a factor: 56376288867390220894969

75.758 bits.

Jwb52z 2012-12-29 16:23

P-1 found a factor in stage #1, B1=560000.
UID: Jwb52z/Clay, M60074737 has a factor: 277595962638024974862031

77.877 bits.

Jwb52z 2013-01-03 18:39

P-1 found a factor in stage #2, B1=560000, B2=10640000.
UID: Jwb52z/Clay, M60165101 has a factor: 16306920507796446029681

73.788 bits.

Jwb52z 2013-01-04 04:36

P-1 found a factor in stage #2, B1=560000, B2=10640000.
UID: Jwb52z/Clay, M60181259 has a factor: 150985799039081099694123973633

96.930 bits.

TheJudger 2013-01-06 23:45

Hi,

found a [B]composite factor[/B] in [B]stage #2[/B] this week.

P-1 found a factor in stage #2, [B]B1=565000[/B], B2=11723750, E=12.
M59989133 has a factor: 10498651208818561297204833414014330244934487388503659231 (182.8 bits)

F[SUB]1[/SUB] = 82258643608965470493798023 (86.1 bits)
F[SUB]2[/SUB] = 127629763246841337664420837097 (96.7 bits)

k[SUB]1[/SUB] = 71 * 64187 * 161221 * [B]933151[/B]
k[SUB]2[/SUB] = 2[SUP]2[/SUP] * 7019 * 37589 * 245789 * [B]4101011[/B]

Oliver

kracker 2013-01-07 00:00

[QUOTE=TheJudger;323876]Hi,

found a [B]composite factor[/B] in [B]stage #2[/B] this week.

P-1 found a factor in stage #2, [B]B1=565000[/B], B2=11723750, E=12.
M59989133 has a factor: 10498651208818561297204833414014330244934487388503659231 (182.8 bits)

F[SUB]1[/SUB] = 82258643608965470493798023 (86.1 bits)
F[SUB]2[/SUB] = 127629763246841337664420837097 (96.7 bits)

k[SUB]1[/SUB] = 71 * 64187 * 161221 * [B]933151[/B]
k[SUB]2[/SUB] = 2[SUP]2[/SUP] * 7019 * 37589 * 245789 * [B]4101011[/B]

Oliver[/QUOTE]

:huh2::bounce wave:

Oh my... Nice.

LaurV 2013-01-07 03:44

[QUOTE=TheJudger;323876]
k[SUB]1[/SUB] = 71 * 64187 * 161221 * [B]933151[/B]
k[SUB]2[/SUB] = 2[SUP]2[/SUP] * 7019 * 37589 * 245789 * [B]4101011[/B]
[/QUOTE]

Hm... This looks like a Brent Suyama hit! (grrr, I was first writing "BS hit" and then realized how that sounds!). Both tailing terms are higher than B1, and their combined product is higher than B2. You can not find the combined (composite) factor with normal B1<933k, B2<5M. You will find them one by one, but not their product, unless P95 computes all the primes between the two values in a gulp. I saw P95 computing 2400 primes in a time for lower exponents, but for this high, no way. Regardless of the fact that there are 216141 primes in between the two values, there is no way P95 gulped all those in a single bite (between two GCD's) in stage 2. [edit: or... is it?]

markr 2013-01-09 12:14

P-1 found a factor in stage #2, B1=25000000, B2=1000000000, E=12.
M428899 has a factor: 125121243653506108640827021803878584977256889
45 decimal digits, 147 bits
k = 2^2 * 73 * 83 * 3571 * 3923 * 12583 * 13513 * 37691 * 84307 * 795132769

My first reaction was "nice, a composite factor". I was a bit stunned when it wasn't.


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