Primo Top-20

Primo record

238090 + 47269
11467 decimal digits

The certification of this number was done by Norman Luhn with Primo 3.0.8 in about 6 months. In order to get such a running time, Norman split temporary certificates, ran several Primo processes on a PC with a multicore processor (to parallelize the most possible work) and, finally, rebuilt the whole certificate by cutting and pasting each test. A very smart certification.


20 greatest candidates certified with Primo
238090 + 47269
11467 decimal digits
Certified by Norman Luhn (EU, 2010)
Certificate: ecpp11467.zip (7763 KB)
233548 + 4471
10099 decimal digits
Certified by Norman Luhn (EU, 2009)
Certificate: ecpp10099.zip (5583 KB)
1524583 - 1514583
10000 decimal digits
Certified by Mike Oakes (EU, 2010)
Certificate: ecpp10000.zip (5812 KB)
229727 + 20273
8949 decimal digits
Certified by Norman Luhn (EU, 2009)
Certificate: ecpp8949.zip (4526 KB)
228978 + 34429
8724 decimal digits
Certified by Norman Luhn (EU, 2010)
Certificate: ecpp8724.zip (4244 KB)
Phi(6105,-1000)
8641 decimal digits
Certified by Ray Chandler (US, 2010)  [more...]
Certificate: ecpp8641.zip (4440 KB)
Phi(4667,-100)
8593 decimal digits
Certified by Ray Chandler (US, 2009)  [more...]
Certificate: ecpp8593.zip (4548 KB)
Factor of (378149751 × 227186 + 1)
8174 decimal digits
Certified by Geoffrey Hird and Tom Wu (US, 2010)
[more...]
Certificate: ecpp8174.zip (4114 KB)
Factor of Phi(1887,-11758041)
8125 decimal digits
Certified by Andrew Steward (EU, 2009)  [more...]
Certificate: ecpp8125.zip (4406 KB)
226827 + 77783
8076 decimal digits
Certified by Engracio Esmenda (EU, 2010)
Certificate: ecpp8076.zip (3979 KB)
226795 + 57083
8067 decimal digits
Certified by Luigi Morelli (EU, 2009)
Certificate: ecpp8067.zip (3910 KB)
18517# + 39317
7993 decimal digits
Certified by Pierre Cami (EU, 2005)
Certificate: ecpp7993.zip (3902 KB)
Euler(2762) ÷ 2670541
7760 decimal digits
Certified by Mike Oakes (EU, 2004)
Certificate: ecpp7760.zip (3584 KB)
225563 + 22193
7696 decimal digits
Certified by Engracio Esmenda (EU, 2010)
Certificate: ecpp7696.zip (3612 KB)
Phi(4029,-1000)
7488 decimal digits
Certified by Ray Chandler (US, 2009)  [more...]
Certificate: ecpp7488.zip (3368 KB)
87 × 224582 + 2579
7402 decimal digits
Certified by Hans Rosenthal (EU, 2004)
Certificate at ecpp7402b.zip (3407 KB)
87 × 224582 + 1289
7402 decimal digits
Certified by Torbjörn Alm (EU, 2004)
Certificate at ecpp7402a.zip (3328 KB)
LucasV(34759) ÷ 27112021
7257 decimal digits
Certified by Raffi Chaglassian (US, 2005)
Certificate: ecpp7257.zip (3344 KB)
Phi(9455,-10)
7200 decimal digits
Certified by Raffi Chaglassian (US, 2005)
Certificate: ecpp7200.zip (3209 KB)
Phi(1479,-100000000)
7168 decimal digits
Certified by Ray Chandler (US, 2009)  [more...]
Certificate: ecpp7168.zip (3089 KB)


ECPP records set with Primo
(32 × 106959 - 23) ÷ 99
6959 decimal digits
Certified by Hans Rosenthal with Primo (EU, January 2002 - July 2003).
Certificate: ecpp6959.zip (4957 KB)
16282536 ... 36478311
5878 decimal digits
Certified by Jose Luis Gomez Pardo with Primo (EU, September 2002 - February 2003).
Certificate: ecpp5878b.zip (3223 KB)
105019 + 43157099231631693
5020 decimal digits
Certified by Giovanni and Marco La Barbera with Primo (EU, June 2001 - September 2001).
Certificate: ecpp5020.zip (2177 KB)
103999 + 4771
4000 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix [1] (EU, February 2001 - May 2001).
Certificate: ecpp4000.zip (1366 KB)
(3481223 - 1) ÷ 347
3106 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix (EU, November 2000 - January 2001).
(301789 - 1) ÷ 29
2642 decimal digits
Certified by Giovanni and Marco La Barbera with Titanix (EU, September 2000 - October 2000).
[1] Primo is the successor of Titanix, which one is no more distributed.

Since 2003, 64-bit multiprocessor versions of ECPP have established new records (notice that, up to now, these programs have never been released by their respective authors).


Other primes
Links to some pages reporting primes certified with Primo: