20161124, 02:24  #12 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
21570_{8} Posts 
The next one should be an ASCIIart Mona Lisa with a bit of noise in the bottom right corner... Or a valid midi file with "Der Hölle Rache kocht in meinem Herzen", flattened as a bytestream.

20161124, 02:31  #13 
Basketry That Evening!
"Bunslow the Bold"
Jun 2011
40<A<43 89<O<88
3·29·83 Posts 
If we're going down this road, one could make something of a statement by proving the world's largest illegal prime (and it needn't even be a executable or source code, as Paul has clearly demonstrated ).

20161128, 01:34  #14 
Jun 2015
Vallejo, CA/.
3BF_{16} Posts 
WHAT ARE THE REQUIREMENTS FOR A ECPP OF A GIVEN SIZE?
First of all congratulations to Paul for this accomplishment.
I wonder if the difficulty of proving primality via ECCP depends mainly on the size of the prime or is it that for the same given size and using _only_ ECPP there are primes that are more difficult to prove. Another open question is how far away in time are we from proving the primality of a 45,000 digit number that has no special for and thus needs a general method? 
20161128, 07:24  #15  
Sep 2002
Database er0rr
2^{2}·7^{2}·17 Posts 
Thanks very much
Quote:
Quote:
Last fiddled with by paulunderwood on 20161128 at 07:43 

20161128, 21:19  #16  
Jun 2015
Vallejo, CA/.
7×137 Posts 
Quote:
Thanks. Lets hope that in 43 months (Moore's Law and everything) we can start trying. As an exmple in a month short of 2 years we have managed an increase of ≈ 15% in the number of digits so we could estimate that 6 years from now we can see something like that. 

20171119, 04:35  #17 
May 2012
1000_{2} Posts 
34987 decimal digits!
Yesterday, Peter Kaiser sent me a Primo certificate proving that 2^116224 15905 is prime.
It is a new Primo record, a new ECPP record and a new "ordinary prime" record. Congratulations. 
20171119, 05:15  #18 
"Rashid Naimi"
Oct 2015
Remote to Here/There
3×617 Posts 
Contraptions on the new record.
What is the reason primo or its algo is not utilized through distributed computing? Wouldn't that make new record, regularprimes essentially a daily occurrence? 
20171119, 07:44  #19 
Oct 2006
Berlin, Germany
569 Posts 
The main reason is, that primo is a grphical user interface application. A command line version doesn't exists (at least it was the case some years back). In the past I asked the author if a command line version can be provided to include it into a distributed computing project, but he rejected.

20171120, 14:49  #20  
Sep 2002
Database er0rr
D04_{16} Posts 
Quote:
Seconded.A great achievement for Peter, at the cutting edge of what can be done currently. 

20200202, 09:47  #21 
Sep 2002
Database er0rr
2^{2}·7^{2}·17 Posts 
40,000 digits
I have just certified the partitions number p(1289844341) which has 40,000 digits.
It took 21.5 months on a 4x 12 core AMD 6174. Thanks to Marcel for his impeccable software Last fiddled with by paulunderwood on 20200202 at 10:23 
20200202, 20:32  #22  
Jun 2015
Vallejo, CA/.
7·137 Posts 
Quote:
Last fiddled with by rudy235 on 20200202 at 20:40 

Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
ECPPDJ  danaj  Computer Science & Computational Number Theory  58  20180206 21:52 
Can I just leave this here? (ECPP)  trhabib  Miscellaneous Math  6  20110819 16:34 
Fast ECPP  T.Rex  Math  6  20070625 16:42 
Where ECPP is needed?  nuggetprime  Information & Answers  9  20070406 16:22 
new ECPP article  R. Gerbicz  GMPECM  2  20060913 16:24 