(10^7-1)/9 + 6*10^3
```== ID:B281304A5E58E =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 1117111

Decimal size = 7
Binary size = 21

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

Started 11/01/2002 09:39:41 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.
```

(10^67-1)/9 + 6*10^33
```== ID:B281304A47BCC =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111711111111111111111111111111\
1111111

Decimal size = 67
Binary size = 220

Started 11/01/2002 09:38:08 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.
```

(10^623-1)/9 + 6*10^311
```== ID:B280A00988F6E =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111117111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
111111111111111111111111111111111111111111111111111111111111\
11111111111111111111111

Decimal size = 623
Binary size = 2067

Started 10/23/2002 02:46:38 AM
Running time 18mn 15s

Candidate certified prime

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

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

(10^5867-1)/9 + 6*10^2933
```
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B28500468C258
Created=01/01/2003 08:32:54 PM
TestCount=857
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\Work\Arnault.in
Expression=(10^5867-1)/9 + 6*10^2933
DecimalSize=5867
BinarySize=19487

[Running Times]
Initialization=1mn 57s
1stPhase=3260h 10mn 40s
2ndPhase=145h 33mn 20s
Total=3405h 45mn 57s

[Backtrack Report]
File=C:\Program Files\Primo200\Work\Primo-B28500468C258-001.br

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
```

(10^44471-1)/9 + 6*10^22235
```C:\pfgw>pfgw64 -q"(10^44471-1)/9+6*10^22235"
PFGW Version 3.7.10.64BIT.20150809.Win_Dev [GWNUM 28.6]

(10^44471-1)/9+6*10^22235 is 3-PRP! (25.6771s+0.0039s)
```

(10^78331-1)/9 + 6*10^39165
```C:\pfgw>pfgw64 -q"(10^78331-1)/9+6*10^39165"
PFGW Version 3.7.10.64BIT.20150809.Win_Dev [GWNUM 28.6]

(10^78331-1)/9+6*10^39165 is 3-PRP! (83.9023s+0.0023s)
```

(10^83171-1)/9 + 6*10^41585
```C:\pfgw>pfgw64 -q"(10^83171-1)/9+6*10^41585"
PFGW Version 3.7.10.64BIT.20150809.Win_Dev [GWNUM 28.6]

(10^83171-1)/9+6*10^41585 is 3-PRP! (96.0888s+0.0062s)
```

```

```