*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(92*10^3-29)/99
N=929
*** N is prime!
Time: 0 sec

== ID:B280D035A5DE0 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 99999999299999999

Decimal size = 17
Binary size = 57

Started 10/26/2002 03:37:33 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:B280D03590094 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 9999999992999999999

Decimal size = 19
Binary size = 64

Started 10/26/2002 03:36:04 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.

[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B280903020082
Created=10/22/2002 02:01:02 PM
TestCount=99
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pwp929_705.in
Expression=(10^705-1) - 7*10^352
N$=3E38531129DCB08FA146253BAF465AC28910B0D2FB20EACD193C04D3A5E617E73409B69AE9772F1C4472699068046B433FC263BAD8577A18B243FAEDE18DD9D8890DD4BC8B2DCFB208287F21704583620481FA276C22175C2F2F1230612B1BDFD175723333891ED009951DE3BDC8CCFCA6D5839270973FEA5CCD086F9176B2A7A0CC4FB6C0A85DB19807D1A67853987DC38FAFAC12F160929E791540934D2C3262CA28255365B66175AF6C256FD92563C9084281F3FEA73C244355E1DDA5B04E9D988BD52677DD4FFE294FB7B93A0BEE8927A80C3FF638FD05202C3A6E643126B7B059467B6975311B1BD9DB289A7774B90898494292EBB678FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF
HexadecimalSize=586
DecimalSize=705
BinarySize=2342

[Running Times]
Initialization=1.58s
1stPhase=26mn 25s
2ndPhase=3mn 24s
Total=29mn 52s

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

== ID:B27F004FA4CB4 =============================================

PRIMO 1.2.1 - Primality Certificate - (9)530 2 (9)530

Started 09/27/2002 11:11:52 PM
Running time 1h 5mn 8s

Candidate certified prime

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

Proved prime with 'Primo 1.2.1' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F004FA4CB4.out" is 277 KB
and is available on demand by simple email request.

== ID:B27F101D158DE =============================================

PRIMO 1.2.1 - Primality Certificate - (9)697 2 (9)697

Started 09/28/2002 08:28:16 AM
Running time 5h 35mn 7s

Candidate certified prime

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

Proved prime with 'Primo 1.2.1' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F101D158DE.out" is 491 KB
and is available on demand by simple email request.

C:\PrimeForm>pfgw -q10^2631-7*10^1315-1 -tp
PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor')

Primality testing 10^2631-7*10^1315-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^2631-7*10^1315-1 is prime! (12.460000 seconds)

(Timing using a Pentium III 650 Mhz chip).

C:\PrimeForm>pfgw -q10^3837-7*10^1918-1 -tp
PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor')

Primality testing 10^3837-7*10^1918-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 17, base 1+sqrt(17)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^3837-7*10^1918-1 is prime! (25.810000 seconds)

(Timing using a Pentium III 650 Mhz chip).

C:\PrimeForm>pfgw -q10^5749-7*10^2874-1 -tp
PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor')

Primality testing 10^5749-7*10^2874-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^5749-7*10^2874-1 is prime! (109.030000 seconds)

(Timing using a Pentium III 650 Mhz chip).

C:\PrimeForm>pfgw -q10^11753-7*10^5876-1 -tp
PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor')

Primality testing 10^11753-7*10^5876-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Running N+1 test using discriminant 7, base 2+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^11753-7*10^5876-1 is prime! (547.280000 seconds)

(Timing using a Pentium III 650 Mhz chip).

C:\PrimeForm>pfgw -q10^13537-7*10^6768-1 -tp
PFGW Version 20010212.Win_Dev (Beta software, 'caveat utilitor')

Primality testing 10^13537-7*10^6768-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 34.94%
10^13537-7*10^6768-1 is prime! (482.410000 seconds)

(Timing using a Pentium III 650 Mhz chip).

by Darren Bedwell
http://zerosink.blogspot.com/2010/10/new-world-record-near-repdigit.html

Primality testing 10^(2*62938+1)-7*10^62938-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 19, base 1+sqrt(19)
Calling Brillhart-Lehmer-Selfridge with factored part 34.95%
10^(2*62938+1)-7*10^62938-1 is prime! (4195.7527s+0.0051s)

by Darren Bedwell

http://primes.utm.edu/primes/page.php?id=105258
http://zerosink.blogspot.com/2012/04/leap-day-near-repdigit-palindrome-prime.html

Command: /home/caldwell/client/pfgw -tp -q"10^269479-7*10^134739-1" 2>&1 
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 

Primality testing 10^269479-7*10^134739-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7) 
Calling Brillhart-Lehmer-Selfridge with factored part 34.95%
10^269479-7*10^134739-1 is prime! (33777.1750s+0.0175s) [Elapsed time: 9.38 hours]