- **Data**
(*https://www.mersenneforum.org/forumdisplay.php?f=21*)

- - **Mersenne number factored (disbelievers are biting elbows)**
(*https://www.mersenneforum.org/showthread.php?t=19407*)

[QUOTE=GP2;531567]This was actually discovered yesterday, but for some reason PrimeNet did not send the usual notification.[/QUOTE]
I got both notifications. Your yahoo address was on the CC list. Spam filter? |

[QUOTE=GP2;531567]The 339th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M216317[/M].
The most recent factor was found by Niels_Mache_Nextcloud and the PRP test was done by mnd9. This exponent is too big to be certified prime by Primo. [URL="http://factordb.com/index.php?id=1100000001403622864"]FactorDB link[/URL] This was actually discovered yesterday, but for some reason PrimeNet did not send the usual notification.[/QUOTE] :toot: [CODE]time echo "print((2^216317-1)/9551099878153/42354904941257/1528559546583299567/6527839497610595205744558551)" | gp -q |./lucasPRP - 1 2 216317 -1 Lucas testing on x^2 - 3*x + 1 ... Is Lucas PRP! real 0m18.301s user 0m18.344s sys 0m0.012s [/CODE] |

PFGW concurs:
[CODE]Primality testing (2^216317-1)/9551099878153/42354904941257/1528559546583299567/6527839497610595205744558551 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 5, base 1+sqrt(5) Generic modular reduction using generic reduction FMA3 FFT length 21K, Pass1=448, Pass2=48, clm=2 on A 216076-bit number Calling Brillhart-Lehmer-Selfridge with factored part 0.01% (2^216317-1)/9551099878153/42354904941257/1528559546583299567/6527839497610595205744558551 is [SIZE="4"][B]Lucas PRP![/B][/SIZE] (318.0994s+0.0096s)[/CODE] |

[QUOTE=Prime95;531568]I got both notifications. Your yahoo address was on the CC list. Spam filter?[/QUOTE]
Nope, nothing in the spam folder. Not a problem, unless it's a symptom of e-mail problems that might crop up again the next time a Mersenne prime is found. |

The 340th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3733[/M].
The most recent factor (53 digits) was found by Ryan Propper and the PRP test was done by Yuji Hasegawa. It was the seventh factor for this exponent. The cofactor has already been certified prime by Primo. [URL="http://factordb.com/index.php?id=1100000001408200550"]FactorDB link[/URL] George let me know about it, since PrimeNet once again did not send the usual notification. |

[QUOTE=GP2;532338]George let me know about it, since PrimeNet once again did not send the usual notification.[/QUOTE]
How does one subscribe to these notifications? |

[QUOTE=mathwiz;532339]How does one subscribe to these notifications?[/QUOTE]
By reading this thread :smile: |

[QUOTE=GP2;532338]The 340th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3733[/M].
The most recent factor (53 digits) was found by Ryan Propper and the PRP test was done by Yuji Hasegawa. It was the seventh factor for this exponent. The cofactor has already been certified prime by Primo. [URL="http://factordb.com/index.php?id=1100000001408200550"]FactorDB link[/URL] George let me know about it, since PrimeNet once again did not send the usual notification.[/QUOTE] I didn't think the server emailed out notifications for cofactor PRPs. Anyway... I was going to mark this one as "cofactor proven" in the database, but it's not showing up in the right place yet, probably because the "PRP" result hasn't had a double-check yet. I'll check on it later if/when someone submits a verifying run - shouldn't take long I'm sure. |

Another one factored by Ryan Propper and tested by mrh: [url]https://mersenne.org/M3467[/url]
[url]https://mersenneforum.org/showthread.php?t=24989[/url] |

The 341st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M3467[/M].
The most recent factor (55 digits) was found by Ryan Propper and the PRP test was done by mrh. The cofactor has already been certified prime by Primo. [URL="http://factordb.com/index.php?id=1100000001409480260"]FactorDB link[/URL] |

The 342nd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is [M]M2887[/M].
The most recent factor (56 digits) was found by Ryan Propper and the PRP test was done by Niels_Mache_Nextcloud. The cofactor has already been certified prime. [URL="http://factordb.com/index.php?id=1100000001435182860"]FactorDB link[/URL] |

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