*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(79*10^3-97)/99
N=797
*** N is prime!
Time: 0 sec

== ID:B2814047613CC =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77977

Decimal size = 5
Binary size = 17

-----------------------------------------------------------------
1) SPP Test
-----------------------------------------------------------------
N = Candidate

Started 11/02/2002 08:47:27 PM
Running time < 1s

Candidate certified prime

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

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

== ID:B28140474E880 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77777777977777777

Decimal size = 17
Binary size = 57

Started 11/02/2002 08:46:10 PM
Running time < 1s

Candidate certified prime

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

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

== ID:B28140473B1A4 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777777777777777777797777777777777777777

Decimal size = 39
Binary size = 130

Started 11/02/2002 08:44:50 PM
Running time < 1s

Candidate certified prime

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

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

== ID:B281404728540 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77777777777777777777977777777777777777777

Decimal size = 41
Binary size = 136

Started 11/02/2002 08:43:34 PM
Running time < 1s

Candidate certified prime

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

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

== ID:B280B00C2D134 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777779777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    77777

Decimal size = 425
Binary size = 1412

Started 10/24/2002 03:32:47 AM
Running time 2mn 2s

Candidate certified prime

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

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

== ID:B28090326197C =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777797777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777777777777777777777777777777777777777777\
    777777777777777777777

Decimal size = 561
Binary size = 1864

Started 10/22/2002 02:40:28 PM
Running time 9mn 6s

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 - (7)887 9 (7)887
Format=2
ID=B27F503176FE4
Created=10/02/2002 02:24:27 PM
TestCount=247
Status=Candidate certified prime

[Running Times]
Initialization=5.69s
1stPhase=11h 23mn 33s
2ndPhase=1h 0mn 50s
Total=12h 24mn 29s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F503176FE4-001.out" is 476 KB
and is available on demand by simple email request.

[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3 - (7)1021 9 (7)1021
Format=2
ID=B27F600B2935A
Created=10/03/2002 03:15:03 AM
TestCount=314
Status=Candidate certified prime

[Running Times]
Initialization=8.17s
1stPhase=19h 10mn 14s
2ndPhase=1h 57mn 17s
Total=21h 7mn 40s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F600B2935A-001.out" is 700 KB
and is available on demand by simple email request.

C:\pfgw>pfgw64 -q"7*(10^11031-1)/9 + 2*10^5515"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

7*(10^11031-1)/9 + 2*10^5515 is 3-PRP! (0.7352s+0.0024s)

C:\pfgw>pfgw64 -q"7*(10^16233-1)/9 + 2*10^8116"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

7*(10^16233-1)/9 + 2*10^8116 is 3-PRP! (1.3169s+0.0013s)

C:\pfgw>pfgw64 -q"7*(10^23705-1)/9 + 2*10^11852"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

7*(10^23705-1)/9 + 2*10^11852 is 3-PRP! (2.7389s+0.0011s)