```

7*(10^9-1)/9 - 10^4

== ID:B2813049EE978 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777767777

Decimal size = 9
Binary size = 30

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

Started 11/01/2002 09:32:03 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.

7*(10^11-1)/9 - 10^5

== ID:B2813049DC386 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77777677777

Decimal size = 11
Binary size = 37

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

Started 11/01/2002 09:30:48 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.

7*(10^17-1)/9 - 10^8

== ID:B2813049BED04 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77777777677777777

Decimal size = 17
Binary size = 57

Started 11/01/2002 09:28:47 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.

7*(10^23-1)/9 - 10^11

== ID:B2813049A3DF6 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 77777777777677777777777

Decimal size = 23
Binary size = 77

Started 11/01/2002 09:26:57 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.

7*(10^2489-1)/9 - 10^1244

[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B2800014790D6
Created=10/13/2002 05:57:47 AM
TestCount=371
Status=Candidate certified prime

[Running Times]
Initialization=13.54s
1stPhase=52h 20mn 25s
2ndPhase=4h 4mn 24s
Total=56h 25mn 3s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B2800014790D6-001.out" is 1042 KB
and is available on demand by simple email request.

7*(10^3371-1)/9 - 10^1685

Darren Bedwell has a Primo certificate for 7*(10^3371-1)/9-10^1685.

http://zerosink.blogspot.com/2010/10/primo-certificate-for-7103371-19-101685.html

Certificate here

[PRIMO - Primality Certificate]
Version=3.0.9
WebSite=http://www.ellipsa.eu/
Format=3
ID=B3366018DAC88
Created=10/09/2010 07:14:28 AM
TestCount=463
Status=Candidate certified prime

Write any comment here

[Running Times]
Initialization=6.81s
1stPhase=29h 3mn 43s
2ndPhase=8h 53mn 12s
Total=37h 57mn 3s

[Candidate]
File=Z:\home\darren\Desktop\primo\work\77677.in
Expression=7*(10^3371-1)/9-10^1685
N\$=39F64BB9E7CA2C84F83F5F8978BBE594694AC8AAA02...
DecimalSize=3371
BinarySize=11198

7*(10^4019-1)/9 - 10^2009

The near-repdigit palindrome wing prime 7*(10^4019-1)/9-10^2009
has been certified prime by Darren Bedwell using Primo
and published dd. Oct 26, 2010.
The certificate is here.

[PRIMO - Primality Certificate]
Version=3.0.9
WebSite=http://www.ellipsa.eu/
Format=3
ID=B336E027B2832
Created=10/17/2010 11:33:56 AM
TestCount=593
Status=Candidate certified prime

Write any comment here

[Running Times]
Initialization=10.37s
1stPhase=53h 45mn 12s
2ndPhase=14h 18mn 42s
Total=68h 4mn 4s

[Candidate]
File=Z:\home\darren\Desktop\primo\work\prp2009.in
Expression=7*(10^4019-1)/9-10^2009
N\$=586DC148C542691CB9B3A896CD08BA5960A23F3882733...
DecimalSize=4019
BinarySize=13351

7*(10^29315-1)/9 - 10^14657

7*(10^30237-1)/9 - 10^15118

```