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Old 2022-09-16, 01:04   #2201
masser
 
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615019

Near miss on the prior P-1 effort AND ecm missed this one.
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Old 2022-09-16, 17:22   #2202
SuikaPredator
 
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M115805527 has a factor: 677697503509919022558931969 (P-1, B1=495000, B2=12976000)

89.131 bits

The only factor found in my previous ~180 factoring attempts

Last fiddled with by SuikaPredator on 2022-09-16 at 17:23
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Old 2022-09-20, 05:19   #2203
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P-1 found a factor in stage #2, B1=531000, B2=18418350.
UID: Jwb52z/Clay, M116443783 has a factor: 82696735044909751763113583 (P-1, B1=531000, B2=18418350)

86.096 bits.
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Old 2022-09-25, 21:23   #2204
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P-1 found a factor in stage #2, B1=532000, B2=18423900.
UID: Jwb52z/Clay, M116482291 has a factor: 20599239462162799560243380417 (P-1, B1=532000, B2=18423900)

94.057 bits.
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Old 2022-09-28, 12:02   #2205
Stef42
 
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M272003 - Factor: 572558879190121609764720501761921 (108.819 bits)

My 2nd largest ECM-factor found thus far.
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Old 2022-09-28, 23:32   #2206
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P-1 found a factor in stage #2, B1=532000, B2=18426750.
UID: Jwb52z/Clay, M116499679 has a factor: 1360916709713170590578566863745659001678613741993 (P-1, B1=532000, B2=18426750)

159.897 bits.

It's a composite factor, though: Here's the link on Mersenne.ca web site that lists the two prime factors that make it up: https://www.mersenne.ca/exponent/116499679
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Old 2022-09-29, 20:23   #2207
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P-1 found a factor in stage #1, B1=521000.
UID: Jwb52z/Clay, M116053921 has a factor: 46515908802837469539326609 (P-1, B1=521000)

85.266 bits.
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Old 2022-10-04, 06:54   #2208
Denial140
 
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P-1 found a factor in stage #2, B1=50000000, B2=160135168050.
M4968559 has a factor: 4518377100979343670213622713401394014756052836040689096521220599831 (P-1, B1=50000000, B2=160135168050)

Of course, a composite factor, but one of the prime factors is rather impressive too: \(4518377100979343670213622713401394014756052836040689096521220599831 = 2024609142059135603124721 \times 2231728093642762521609553280152576514699911\).

The larger of these is 43 digits putting it at 59th on the top Mersenne factors list for P-1, and 382nd overall. My first in the top 500 for either :)
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Old 2022-10-04, 13:33   #2209
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Quote:
Originally Posted by Denial140 View Post
M4968559 has a 221.423-bit (67-digit) composite (P25+P43) factor: 4518377100979343670213622713401394014756052836040689096521220599831 (P-1,B1=50000000,B2=160135168050)
Congrats, nice find! (I reformatted your result for easier reading with this tool)
The P43 inside your composite is far bigger than any factor I've ever found.

Last fiddled with by James Heinrich on 2022-10-04 at 13:34
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Old 2022-10-04, 21:37   #2210
Runtime Error
 
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I am very happy about this factor, even if it is composite. And that candidate already had some low P-1 done on it, which makes it feel even more rewarding.

M112259701 has a 193.882-bit (59-digit) composite (P25+P34) factor: 23141826223471609689663383919640272913859192422380792607727 (P-1,B1=1237000,B2=417486300)
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Old 2022-10-04, 21:54   #2211
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Quote:
Originally Posted by Runtime Error View Post
I am very happy about this factor, even if it is composite. And that candidate already had some low P-1 done on it, which makes it feel even more rewarding.

M112259701 has a 193.882-bit (59-digit) composite (P25+P34) factor: 23141826223471609689663383919640272913859192422380792607727 (P-1,B1=1237000,B2=417486300)
That is a nice one!
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