20191127, 15:33  #496 
P90 years forever!
Aug 2002
Yeehaw, FL
2^{4}×3^{2}×53 Posts 

20191127, 16:02  #497  
Sep 2002
Database er0rr
111100010111_{2} Posts 
Quote:
Code:
time echo "print((2^2163171)/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 

20191127, 16:47  #498 
Einyen
Dec 2003
Denmark
5^{2}×127 Posts 
PFGW concurs:
Code:
Primality testing (2^2163171)/9551099878153/42354904941257/1528559546583299567/6527839497610595205744558551 [N+1, BrillhartLehmerSelfridge] 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 216076bit number Calling BrillhartLehmerSelfridge with factored part 0.01% (2^2163171)/9551099878153/42354904941257/1528559546583299567/6527839497610595205744558551 is Lucas PRP! (318.0994s+0.0096s) Last fiddled with by ATH on 20191127 at 16:48 
20191127, 18:12  #499 
Sep 2003
5×11×47 Posts 

20191208, 03:41  #500 
Sep 2003
A19_{16} Posts 
The 340th fullyfactored or probablyfullyfactored 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. 
20191208, 03:48  #501 
Mar 2019
C7_{16} Posts 

20191208, 04:10  #502 
Sep 2003
5031_{8} Posts 

20191208, 06:55  #503  
Serpentine Vermin Jar
Jul 2014
3,313 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 doublecheck yet. I'll check on it later if/when someone submits a verifying run  shouldn't take long I'm sure. 

20191208, 18:35  #504 
Einyen
Dec 2003
Denmark
110001100111_{2} 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 20191208 at 18:36 
20191208, 21:53  #505 
Sep 2003
5·11·47 Posts 
The 341st fullyfactored or probablyfullyfactored 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 
20200118, 04:48  #506 
Sep 2003
5×11×47 Posts 
The 342nd fullyfactored or probablyfullyfactored 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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