run"aprt-cle
Test number  N=? 1444441

Preparatory test
    Pass !

 1444441 is prime.
  0:00:00
OK

Proved prime with 'Ubasic - APRT-CLE.UB'
by Patrick De Geest using a Pentium III 650 MHz chip.

== ID:B28690066BACA =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 144444444444444444444444444444444444444444444444444444444444\
    4444441

Decimal size = 67
Binary size = 220


Started 01/26/2003 01:52:12 AM
Running time < 1s

Candidate certified prime

=================================================================

Proved prime with 'Primo 1.2.1'
by Patrick De Geest using a Pentium III 650 MHz chip.

[PRIMO - Primality Certificate]
Version=2.1.1
WebSite=http://www.ellipsa.net/
Format=3
ID=B2906008EC08E
Created=07/02/2003 02:35:57 AM
TestCount=181
Status=Candidate certified prime

[Running Times]
Initialization=2.02s
1stPhase=1h 44mn 59s
2ndPhase=19mn 32s
Total=2h 4mn 33s

[Candidate]
File=C:\Primo IN & OUT files\PDP1255.in
Expression=4*(10^1255-1)/9-3*(10^1254+1)
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
HexadecimalSize=1042
DecimalSize=1255
BinarySize=4167

Proved prime with 'Primo 2.1.1'
by Patrick De Geest using a 3000 MHz Pentium 4 cpu.
Certificate Primo-B2906008EC08E-01.out available by
simple email request (168 KB).

3-PRP!

By Serge Batalov dd. November 2, 2008.

PFGW Version 1.2.0 for Windows [FFT v23.8]

Primality testing (13*10^67038-31)/9 [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Running N-1 test using base 13
Running N+1 test using discriminant 23, base 3+sqrt(23)
Calling N+1 BLS with factored part 0.01% and helper 0.01% (0.05% proof)
(13*10^67038-31)/9 is Fermat and Lucas PRP! (1944.0504s+0.0042s)