20190215, 06:58  #166 
Dec 2011
After milion nines:)
2^{3}×3^{2}×17 Posts 
Serge, I will hang myself to the first tree :)
Two primes, again you are convincingly leading in this class: but as I know you and Propper you will not stop here.... But on the other hand, I cannot beat those computer resources Propper have, so I must reconcile with destiny , and I must know what is my limits :)) Congratulations! 
20190215, 16:53  #167 
Sep 2002
Database er0rr
3^{2}×349 Posts 

20190215, 17:51  #168  
Feb 2017
Nowhere
3,049 Posts 
Congratulations!
Oh, goody! This is way better than the "there's more!" promised in I did notice something weird on the page showing the first of the two newlydiscovered megaprimes: Quote:
Last fiddled with by Dr Sardonicus on 20190215 at 18:01 Reason: Catching up with new info 

20190222, 16:13  #169 
Sep 2002
Database er0rr
3^{2}×349 Posts 
Last fiddled with by paulunderwood on 20190222 at 16:13 
20190222, 18:39  #170  
Feb 2017
Nowhere
101111101001_{2} Posts 
Quote:
Last fiddled with by Dr Sardonicus on 20190222 at 18:44 

20190222, 19:17  #171  
Dec 2011
After milion nines:)
2^{3}×3^{2}×17 Posts 
Quote:
last time they go together they stopped at 5.2 M digits :)) But in any way, congratulations! Last fiddled with by pepi37 on 20190222 at 19:17 

20190223, 02:31  #172 
Romulan Interpreter
Jun 2011
Thailand
8395_{10} Posts 
Nice job!
Congrats 
20190226, 00:50  #173 
"Serge"
Mar 2008
Phi(3,3^1118781+1)/3
8987_{10} Posts 
Speaking of other primes  Peter Kaiser's latest Quad is out there in outer space!
https://primes.utm.edu/top20/page.php?id=55 10,132 digits! This quad has a remarkably high difficulty level! Congratulations to Peter! 
20190226, 13:33  #174 
Jun 2009
29D_{16} Posts 
Thanks!
I am still trying to decide what to go for next. So many ideas but they are all probably too hard... 
20190226, 19:08  #175 
"Serge"
Mar 2008
Phi(3,3^1118781+1)/3
8987_{10} Posts 
Every section of the specialized Top 20s is interesting in its own way. Breaks the monotony!
Try maybe Irregular primes (both kinds)*, ...maybe Generalized Lucas primitive part, maybe something else? They all need different attacks. All are interesting in their own way. Well, except some categories :) Some are just  "plan for a certain number of hours, and you will be done with the next sequence member". For example partition numbers. I am pretty sure that these could be in and out. I found an interesting twist for myself there trying to find a large prime partitions(n^2), and I did; there are no easy others. Maybe someone can find a large prime partitions(n^3)? (though I have probably already tried. I don't remember off the top of my head). ____________________ *That would be a lot of ECM; with a specific challenge: it is not documented anywhere how far others already ECMd. These are rather very refractory to attempts, in my experience. 
20190226, 19:47  #176 
Sep 2002
Database er0rr
3^{2}·349 Posts 
The Fibonacci PRPs U(130021) and U(148091) are ripe for a multicore Primo proof. Alternatively, there are some smaller Mersenne cofactors that need proofs.
Congrats for your latest quadruplet. Last fiddled with by paulunderwood on 20190226 at 19:58 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Mersenne Primes p which are in a set of twin primes is finite?  carpetpool  Miscellaneous Math  3  20170810 13:47 
Distribution of Mersenne primes before and after couples of primes found  emily  Math  34  20170716 18:44 
Conjecture about Mersenne primes and nonprimes v2  Mickey1  Miscellaneous Math  1  20130530 12:32 
A conjecture about Mersenne primes and nonprimes  Unregistered  Information & Answers  0  20110131 15:41 
possible primes (real primes & poss.prime products)  troels munkner  Miscellaneous Math  4  20060602 08:35 