*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(91*10^3-19)/99
N=919
*** N is prime!
Time: 0 sec

== ID:B286A0007E658 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 911111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    1111119

Decimal size = 247
Binary size = 821


Started 01/27/2003 12:08:37 AM
Running time 38s

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=2.0.0 - beta 3
Format=2
ID=B286603BED63A
Created=01/23/2003 05:27:18 PM
TestCount=177
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\p1141.in
Expression=82*(10^1140-1)/9+17
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
HexadecimalSize=948
DecimalSize=1141
BinarySize=3791

[Running Times]
Initialization=1.58s
1stPhase=1h 10mn 26s
2ndPhase=7mn 54s
Total=1h 18mn 22s

[Backtrack Report]
File=C:\Program Files\Primo200\Primo-B286603BED63A-001.br

Proved prime with 'Primo 2.0.0 - beta 3' by David Broadhurst.
The Primo certificate of the above PDP (the file is 213 KB)
is available on demand by simple email request.

3-PRP!

3,5,7-PRP!
PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].