- **Lone Mersenne Hunters**
(*https://www.mersenneforum.org/forumdisplay.php?f=12*)

- - **Found a factor? Post it here. Or forever hulled your peas.**
(*https://www.mersenneforum.org/showthread.php?t=13977*)

[CA]615019[/CA]
Near miss on the prior P-1 effort AND ecm missed this one. |

M115805527 has a factor: 677697503509919022558931969 (P-1, B1=495000, B2=12976000)
89.131 bits The only factor found in my previous ~180 factoring attempts |

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. |

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. |

[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. |

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] |

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. |

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 :) |

[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. |

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=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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