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-   -   Found a factor, sunshine? Embalm and entomb it here! (RU "Выкрасить и выбросить")) (https://www.mersenneforum.org/showthread.php?t=13977)

masser 2022-09-16 01:04

[CA]615019[/CA]

Near miss on the prior P-1 effort AND ecm missed this one.

SuikaPredator 2022-09-16 17:22

M115805527 has a factor: 677697503509919022558931969 (P-1, B1=495000, B2=12976000)

89.131 bits

The only factor found in my previous ~180 factoring attempts

Jwb52z 2022-09-20 05:19

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.

Jwb52z 2022-09-25 21:23

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.

Stef42 2022-09-28 12:02

[URL="https://www.mersenne.org/report_exponent/?exp_lo=272003&full=1"]M272003[/URL] - Factor: 572558879190121609764720501761921 (108.819 bits)

My 2nd largest ECM-factor found thus far.

Jwb52z 2022-09-28 23:32

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: [url]https://www.mersenne.ca/exponent/116499679[/url]

Jwb52z 2022-09-29 20:23

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.

Denial140 2022-10-04 06:54

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 [URL="https://www.mersenne.ca/userfactors/pm1/1/bits"]the top Mersenne factors list[/URL] for P-1, and 382nd overall. My first in the top 500 for either :)

James Heinrich 2022-10-04 13:33

[QUOTE=Denial140;614907][M]M4968559[/M] has a 221.423-bit (67-digit) [b]composite[/b] (P25+P43) factor: [url=https://www.mersenne.ca/M4968559]4518377100979343670213622713401394014756052836040689096521220599831[/url] (P-1,B1=50000000,B2=160135168050)[/QUOTE]Congrats, nice find! [SIZE="1"](I reformatted your result for easier reading with [url=https://www.mersenne.ca/json2bbcode.php]this tool[/url])[/SIZE]
The P43 inside your composite is far bigger than any factor I've ever found.

Runtime Error 2022-10-04 21:37

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.

[M]M112259701[/M] has a 193.882-bit (59-digit) [b]composite[/b] (P25+P34) factor: [url=https://www.mersenne.ca/M112259701]23141826223471609689663383919640272913859192422380792607727[/url] (P-1,B1=1237000,B2=417486300)

mrh 2022-10-04 21:54

[QUOTE=Runtime Error;614949]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.

[M]M112259701[/M] has a 193.882-bit (59-digit) [b]composite[/b] (P25+P34) factor: [url=https://www.mersenne.ca/M112259701]23141826223471609689663383919640272913859192422380792607727[/url] (P-1,B1=1237000,B2=417486300)[/QUOTE]

That is a nice one!


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