Primo record

LR(691,1523)
23770 decimal digits

The certification of this number was done by Philippe Alsina, Pierre Gazzano, Nik Lygeros, Olivier Rozier and André Solaris with Primo 4.0.3. It took about eight months on 32 threads (bi-Xeon).


20 greatest numbers certified with Primo
Lehmer-Ramanujan(691,1523)
23770 decimal digits
Certified by Philippe Alsina, Pierre Gazzano, Nik Lygeros, Olivier Rozier and André Solaris (EU, 2014)
Certificate: ecpp23770.7z (23.1 MB)
Lehmer-Ramanujan(257,1699)
22506 decimal digits
Certified by Patrice Deloche, Nik Lygeros and Olivier Rozier (EU, 2014)
Certificate: ecpp22506.7z (21.2 MB)
1022250 + 57913
22251 decimal digits
Certified by Pierre Cami (EU, 2014)
Certificate: ecpp22251.7z (19.9 MB)
273845 + 14717
22230 decimal digits
Certified by Peter Kaiser (EU, 2013) [more...]
Certificate: ecpp22230.7z (19.1 MB)
Phi(47498,10)
20160 decimal digits
Certified by Ray Chandler (US, 2014) [more...]
Certificate: ecpp20160.7z (16.9 MB)
Lehmer-Ramanujan(619,1297)
19900 decimal digits
Certified by Patrice Deloche, Nik Lygeros and Olivier Rozier (EU, 2014)
Certificate: ecpp19900.7z (19.0 MB)
Lucas(94823)
19817 decimal digits
Certified by Paul Underwood (EU, 2014) [more...]
Certificate: ecpp19817.7z (15.5 MB)
(263703 - 1) ÷ 42808417
19169 decimal digits
Certified by David Metcalfe (EU, 2014) [more...]
Certificate: ecpp19169.7z (15.4 MB)
Lucas(89849)
18778 decimal digits
Certified by Paul Underwood (EU, 2014) [more...]
Certificate: ecpp18778.7z (14.5 MB)
primV(145353)
18689 decimal digits
Certified by Dana Jacobsen (US, 2013) [more...]
Certificate: ecpp18689.7z (14.2 MB)
Phi(59772,10)
18688 decimal digits
Certified by Ray Chandler (US, 2014) [more...]
Certificate: ecpp18688.7z (14.6 MB)
Factor of Phi(13338,63847)
18666 decimal digits
Certified by Tom Wu (US, 2013) [more...]
Certificate: ecpp18666.7z (13.4 MB)
587 × 43103# ÷ 2310 + 657402
18662 decimal digits
Certified by Pierre Cami (EU, 2013) [more...]
Certificate: ecpp18662b.7z (14.4 MB)
587 × 43103# ÷ 2310 - 455704
18662 decimal digits
Certified by Pierre Cami (EU, 2013) [more...]
Certificate: ecpp18662.7z (13.8 MB)
Lehmer-Ramanujan(821,1163)
18626 decimal digits
Certified by Nik Lygeros, Olivier Rozier and Keira Stambolidou (EU, 2014)
Certificate: ecpp18626.7z (16.5 MB)
261792 + 21661
18602 decimal digits
Certified by Peter Kaiser (EU, 2012) [more...]
Certificate: ecpp18602.7z (12.9 MB)
Phi(18827,10)
18480 decimal digits
Certified by Ray Chandler (US, 2014) [more...]
Certificate: ecpp18480.7z (13.8 MB)
Phi(52062,10)
17353 decimal digits
Certified by Ray Chandler (US, 2014) [more...]
Certificate: ecpp17353.7z (12.5 MB)
Lucas(81671)
17069 decimal digits
Certified by Mathew Steine (EU, 2013) [more...]
Certificate: ecpp17069.7z (11.4 MB)
256366 + 39079
16968 decimal digits
Certified by Peter Kaiser (EU, 2012) [more...]
Certificate: ecpp16968.7z (10.9 MB)


ECPP records set with Primo
(32 × 106959 - 23) ÷ 99
6959 decimal digits
Certified by Hans Rosenthal (EU, 2003).
Certificate: ecpp6959.zip (4.3 MB)
16282536 ... 36478311
5878 decimal digits
Certified by Jose Luis Gomez Pardo (EU, 2003).
Certificate: ecpp5878b.zip (3.1 MB)
105019 + 43157099231631693
5020 decimal digits
Certified by Giovanni and Marco La Barbera (EU, 2001).
Certificate: ecpp5020.zip (2.1 MB)
103999 + 4771
4000 decimal digits
Certified by Giovanni and Marco La Barbera (EU, 2001).
Certificate: ecpp4000.zip (1.3 MB)
(3481223 - 1) ÷ 347
3106 decimal digits
Certified by Giovanni and Marco La Barbera (EU, 2001).
(301789 - 1) ÷ 29
2642 decimal digits
Certified by Giovanni and Marco La Barbera (EU, 2000).

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


Other primes

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