8*(10^7-1)/9 + (10^6+1)
```run"aprt-cle
Test number  N=? 9888889

Preparatory test
Pass !

9888889 is prime.
0:00:00
OK

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

8*(10^73-1)/9 + (10^72+1)
```== ID:B28690072192E =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 988888888888888888888888888888888888888888888888888888888888\
8888888888889

Decimal size = 73
Binary size = 243

Started 01/26/2003 02:04:37 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.
```

8*(10^97-1)/9 + (10^96+1)
```== ID:B286900921A4E =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 988888888888888888888888888888888888888888888888888888888888\
8888888888888888888888888888888888889

Decimal size = 97
Binary size = 323

Started 01/26/2003 02:39:34 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.
```

8*(10^115-1)/9 + (10^114+1)
```== ID:B286903549DCE =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 988888888888888888888888888888888888888888888888888888888888\
8888888888888888888888888888888888888888888888888888889

Decimal size = 115
Binary size = 383

Started 01/26/2003 03:31:17 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.
```

8*(10^205-1)/9 + (10^204+1)
```== ID:B286905243F4C =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 988888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
888888888888888888888888888888888888888888888888888888888888\
8888888888888888888888889

Decimal size = 205
Binary size = 681

Started 01/26/2003 11:57:41 PM
Running time 10s

Candidate certified prime

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

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

8*(10^985-1)/9 + (10^984+1)
```[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B286F040DEDC4
Created=02/01/2003 06:53:41 PM
TestCount=166
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pdp989_985.in
Expression=8*(10^985-1)/9 + (10^(983+1)+1)
DecimalSize=985
BinarySize=3273

[Running Times]
Initialization=3.43s
1stPhase=2h 18mn 12s
2ndPhase=16mn 51s
Total=2h 35mn 8s

Proved prime with 'Primo 2.0.0 - beta 3'
by Patrick De Geest using a Pentium III 650 MHz chip.
```

8*(10^1227-1)/9 + (10^1226+1)
```[PRIMO - Primality Certificate]
Version=2.1.1
WebSite=http://www.ellipsa.net/
Format=3
ID=B29050085869E
Created=07/01/2003 02:25:52 AM
TestCount=182
Status=Candidate certified prime

[Running Times]
Initialization=1.89s
1stPhase=2h 15mn 4s
2ndPhase=16mn 10s
Total=2h 31mn 17s

[Candidate]
File=C:\Primo IN & OUT files\PDP1227.in
Expression=8*(10^1227-1)/9+(10^1226+1)
DecimalSize=1227
BinarySize=4076

Proved prime with 'Primo 2.1.1'
by Patrick De Geest using a 3000 MHz Pentium 4 cpu.
Certificate Primo-B29050085869E-01.out available by
simple email request (173 KB).
```

8*(10^4795-1)/9 + (10^4794+1)
```
Primo certificate by courtesy of Ray Chandler (Feb 7, 2013) from factordb.com

http://factordb.com/cert.php?id=1000000000009854818

[PRIMO - Primality Certificate]
Version=4.0.1 - LX64
WebSite=http://www.ellipsa.eu/
Format=3
ID=B36B8049DC23D
Created=02-05-2013 09:30:58 pm
TestCount=593
Status=Candidate certified prime

Put here any comment...

[Running Times]
Initialization=11.18s
1stPhase=79033s
2ndPhase=16126s
Total=95170s

[Candidate]
File=/home/ray/Documents/primo/fdb_knrr/pdp-4795-98w9/primo_1000000000009854818.in
DecimalSize=4795
BinarySize=15929
```

8*(10^20721-1)/9 + (10^20720+1)
```3-PRP!

```

8*(10^133581-1)/9 + (10^133580+1)
```By Serge Batalov dd. May 15, 2010.

UID: Batalov/Q6600F, 89*10^133580+1/9 is a probable prime! Wd1: 1E7E05E5,00000000

Tools : srsieve, sr1sieve, Prime95 and PFGW 3.3.3

```

8*(10^411591-1)/9 + (10^411590+1)
```By Serge Batalov dd. September 21, 2014.

(89*10^411590+1)/9 is base 3-Strong Fermat PRP! (411591 decimal digits)  Time : 971.723 sec.

Tools used: srsieve and LLR; validated in a few bases with PFGW.
```

```

```