Primo Record


Primo record

18517# + 39317
7993 decimal digits

The certification of this number, done by Pierre Cami with Primo 2.2.0 beta 4, took eight months using a PC with an AMD 2GHz processor. ("N#" stands for "Primorial(N)", i.e., the product of all the primes less than or equal to N.)


ECPP records (monoprocessor)
18517# + 39317
7993 decimals digits
Certified by Pierre Cami with Primo (July 2004 - April 2005).
Certificate: ecpp7993.zip (3902 KB)
Euler(2762) ÷ 2670541
7760 decimals digits
Certified by Mike Oakes with Primo (November 2003 - July 2004).
Certificate: ecpp7760.zip (3584 KB)
16369# + 44651
7056 decimals digits
Certified by Pierre Cami with Primo (February 2004 - July 2004).
Certificate: ecpp7056.zip (3180 KB)
(32 × 106959 - 23) ÷ 99
6959 decimals digits
Certified by Hans Rosenthal with Primo (January 2002 - July 2003).
Certificate: ecpp6959.zip (4957 KB)
16282536 ... 36478311
5878 decimals digits
Certified by Jose Luis Gomez Pardo with Primo (September 2002 - February 2003).
Certificate: ecpp5878b.zip (3223 KB)
105019 + 43157099231631693
5020 decimal digits
Certified by Giovanni and Marco La Barbera with Primo (June 2001 - September 2001).
Certificate: ecpp5020.zip (2177 KB)
103999 + 4771
4000 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix [1] (February 2001 - May 2001).
Certificate: ecpp4000.zip (1366 KB)
(3481223 - 1) ÷ 347
3106 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix (November 2000 - January 2001).
(301789 - 1) ÷ 29
2642 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix (September 2000 - October 2000).
(27331 - 1) ÷ 458072843161
2196 decimal digits
Certified by Ernst Mayer and François Morain with François Morain's ECPP program (October 1997).
p(1840926)
1505 decimal digits
Certified by François Morain with his ECPP program (February 1992 - April 1992).
[1] Primo is the successor of Titanix, which one is no more distributed.


ECPP records (multiprocessor)
Mills' prime
20562 decimals digits
Certified by François Morain with a distributed version of his ECPP program (September 2005 - June 2006).
44052638 + 26384405
15071 decimals digits
Certified by Jens Franke, Thorsten Kleinjung, François Morain and Tobias Wirth with a distributed version of their new ECPP program (<unknown> - July 2004).
3571648 + 6483571
10041 decimal digits
Certified by François Morain with a distributed version of his new ECPP program (<unknown> - December 2003).
109999 + 33603
10000 decimal digits
Certified by Jens Franke, Thorsten Kleinjung and Tobias Wirth with a distributed version of their own ECPP program (July 2003 - August 2003). See ecpp10000.txt
2589218 + 2182589
7127 decimal digits
Certified by François Morain with a distributed version of his new ECPP program running on 12 processors at 2.66 GHz (June 2003 - July 2003).
2177580 + 5802177
6016 decimal digits
Certified by François Morain with a distributed version of his new ECPP program running on 12 processors at 2.66 GHz (May 2003 - June 2003).
(23539 + 1) ÷ 3
1065 decimal digits
Certified by François Morain in 1989 with his ECPP program. This number is the first titanic prime certified with a general purpose primality proving algorithm.