Found a factor? Post it here. - Page 201

masser · 2022-09-16, 01:04

615019

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

M272003 - 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: https://www.mersenne.ca/exponent/116499679

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 the top Mersenne factors list for P-1, and 382nd overall. My first in the top 500 for either :)

James Heinrich · 2022-10-04, 13:33

Quote:

Originally Posted by Denial140

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.

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.

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

mrh · 2022-10-04, 21:54

Quote:

Originally Posted by Runtime Error

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!

2022-09-16, 17:22	#2202
SuikaPredator Aug 2022 China 40₈ Posts	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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2022-09-16, 01:04	#2201
masser Jul 2003 Behind BB 2²×17×29 Posts	615019 Near miss on the prior P-1 effort AND ecm missed this one.

2022-09-20, 05:19	#2203
Jwb52z Sep 2002 1101001110₂ Posts	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.

2022-09-25, 21:23	#2204
Jwb52z Sep 2002 2·3²·47 Posts	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.

2022-09-28, 12:02	#2205
Stef42 Feb 2012 the Netherlands 104₈ Posts	M272003 - Factor: 572558879190121609764720501761921 (108.819 bits) My 2nd largest ECM-factor found thus far.

2022-09-28, 23:32	#2206
Jwb52z Sep 2002 2·3²·47 Posts	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

2022-09-29, 20:23	#2207
Jwb52z Sep 2002 846₁₀ Posts	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.

2022-10-04, 06:54	#2208
Denial140 Dec 2021 2²·11 Posts	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 :)

2022-10-04, 21:37	#2210
Runtime Error Sep 2017 USA 276₈ Posts	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)