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2019-11-27, 15:33
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#496 | |
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P90 years forever!
Aug 2002
Yeehaw, FL
2·7·563 Posts |
Quote:
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2019-11-27, 16:02
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#497 | |
Sep 2002
Database er0rr
23×179 Posts |
Quote:
 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 |
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2019-11-27, 16:47
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#498 |
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Einyen
Dec 2003
Denmark
7×11×43 Posts |
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 Lucas PRP! (318.0994s+0.0096s) Last fiddled with by ATH on 2019-11-27 at 16:48 |
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2019-11-27, 18:12
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#499 | |
Sep 2003
5·11·47 Posts |
Quote:
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. |
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2019-12-08, 03:41
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#500 |
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Sep 2003
5·11·47 Posts |
The 340th fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3733.
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. FactorDB link George let me know about it, since PrimeNet once again did not send the usual notification. |
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2019-12-08, 03:48
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#501 | |
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Mar 2019
10516 Posts |
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2019-12-08, 04:10
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#502 | |
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Sep 2003
5·11·47 Posts |
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2019-12-08, 06:55
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#503 | |
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Serpentine Vermin Jar
Jul 2014
52×7×19 Posts |
Quote:
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. |
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2019-12-08, 18:35
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#504 |
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Einyen
Dec 2003
Denmark
1100111011112 Posts |
Another one factored by Ryan Propper and tested by mrh: https://mersenne.org/M3467
https://mersenneforum.org/showthread.php?t=24989 Last fiddled with by ATH on 2019-12-08 at 18:36 |
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2019-12-08, 21:53
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#505 |
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Sep 2003
5×11×47 Posts |
The 341st fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M3467.
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. FactorDB link |
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2020-01-18, 04:48
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#506 |
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Sep 2003
258510 Posts |
The 342nd fully-factored or probably-fully-factored Mersenne number with prime exponent (not including the Mersenne primes themselves) is M2887.
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. FactorDB link |
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