(10^3-1)/9 + 8*(10^2+1)
```*** 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
```

(10^247-1)/9 + 8*(10^246+1)
```== 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.
```

(10^1141-1)/9 + 8*(10^1140+1)
```[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
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.
```

(10^10395-1)/9 + 8*(10^10394+1)
```3-PRP!

```

(10^43881-1)/9 + 8*(10^43880+1)
```3,5,7-PRP!
PFGW Version 20041020.Win_Stable (v1.2 RC1c) [FFT v23.8].

```

```

```