7*(10^3-1)/9 - 5*10^1
*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(72*10^3-27)/99
N=727
*** N is prime!
Time: 0 sec



7*(10^7-1)/9 - 5*10^3
== ID:B280D0352C2CE =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 7772777

Decimal size = 7
Binary size = 23

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

Started 10/26/2002 03:29:15 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*(10^15-1)/9 - 5*10^7
== ID:B280D0350F4A8 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777777727777777

Decimal size = 15
Binary size = 50

Started 10/26/2002 03:27:17 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.



7*(10^21-1)/9 - 5*10^10
== ID:B280D034F31E0 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 777777777727777777777

Decimal size = 21
Binary size = 70

Started 10/26/2002 03:25:21 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*(10^25-1)/9 - 5*10^12
== ID:B280D034B4D46 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 7777777777772777777777777

Decimal size = 25
Binary size = 83

Started 10/26/2002 03:21:06 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*(10^961-1)/9 - 5*10^480
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B280100CC699C
Created=10/14/2002 03:43:16 AM
TestCount=133
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pwp727_961.in
Expression=7*(10^961-1)/9 - 5*10^480

N$=101D6E50AA7DB05DF054608BCB7B2CAB53453D391B1F194B1FD7547D19FB8F68E4BD211DC50978D34FEA7C0E7BCE94F7\
712DE362D77576CDF3D2AD61B06379634B534EF8B0AF759786679FF9B583C01D4B86E700264CA71935C41E7FA4ED6490E47\
C094C5A229B4DA4659817FB33075DEF7E98A27A66D1668CDFCC4EDAAC7D9A20691FA8CB21AFECA7A3A6518B93159FB7D028\
731AAA53201E940DF97FCF3706399AA8A00AC667F757AFAB55C9B654D5FA010EDEDA9853D4FE2880601B569C88ED340E945\
AC84F4E95D86DE93DDC840B1A36A4E8022785597F32C5BCA564244C9D5C38A8806461D9F625B6B16E3DB5B3A31B49D25C33\
1FBD1880E95E58060E00328ACFA95A53A2585901E4B24ADF046282F421C5425845E61B89740B3C4BDF183A52132857F037B\
1A2D2B1B2EDFB5E66198E2F32844AB95AC288DA4F4907950B37B88C230300CDF87691EC7339BED2A7329B1ECC71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71

HexadecimalSize=799
DecimalSize=961
BinarySize=3193

[Running Times]
Initialization=3.14s
1stPhase=1h 50mn 34s
2ndPhase=11mn 8s
Total=2h 1mn 45s

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



7*(10^1899-1)/9 - 5*10^949
== ID:B27F202B9A35A =============================================

PRIMO 1.2.1 - Primality Certificate - (7)949 2 (7)949

Started 09/29/2002 12:42:00 PM
Running time 20h 0mn 0s

Candidate certified prime

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

Proved prime with 'Primo 1.2.1' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F202B9A35A.out" is 857 KB
and is available on demand by simple email request.


7*(10^3891-1)/9 - 5*10^1945

Certificate by Ray Chandler


[PRIMO - Primality Certificate]
Version=4.0.2 - LX64
WebSite=http://www.ellipsa.eu/
Format=3
ID=B36FD039681F6
Created=04-25-2013 07:30:57 PM
TestCount=525
Status=Candidate certified prime

[Comments]
Put here any comment...

[Running Times (Wall-Clock)]
1stPhase=14620s
2ndPhase=3499s
Total=18120s

[Running Times (Processes)]
1stPhase=57699s
2ndPhase=13972s
Total=71671s

[Candidate]
File=/home/ray/Documents/primo402/knrr/knrr-3800-3900/1/3891-7w27w.in
Expression=(7*10^3891-45*10^1945-7)/9

N$=264F58B0EC1D1F7B43B07DB1CC639DDBBD784C4BC61A359CD4C0B957573EDA231E9C416C485851F99D11FEB61C9C4785\
134636001D330A9803F651C89BC620BE2E71B671D66BAAA8F6773DCF7A55B61FEAFC3AFD11BDF26D127187B852D44833CDE\
A8C4505503D1FB84DF2D2A7B6DC8F8809119D180ED277A4109C27B85201581E2E60A4B2750EDD8074E204DEDF22E64AD309\
0F4FD3014A68C2C389E029D140F95CB65412A0B66E5594C179ECC10E5EBDE6ED882DA6C1CC8E2DE86369AFBE6AAED5CC932\
F3C43197308CF86883E26438C8D059F56D48F0FE80BB44DE6572032C2BFE707C6495D0697B27B7B6767EA8F1A77DB82F36E\
3B2E7B020160447FC10CBC5475C671077AFE6B2760F6BB41B917502AFD6E72B544850E50BB64BFF3A82BE0C79519A74FB0E\
A1BD09F1376A0D768D2D41CFCD6D24755857BC18ED0BF7005872CF848AED021EDA07850F29215488B13B150F7778EC9259A\
C6519CBA959A05B323B07765C9A02E0A3E8BDF68CC8C22BBCD20EFBB06149583E8693B0C7EC7DB0DFE730B63B4039E68677\
F1FEDBB9939E554CF8C98C4E67223589C103CE59C8520476B44302D3C62B87556B7296995624E50AA548EB2339E89382545\
23CA4F112CC6F25D4FFCEE1AB5F831EEC821F977916A50E92603FACF0DCC95261E5955FCBF425FC569B9FF67A7422768F63\
C8C1389D96C41A07BAA6812504553CEADC71E03ACE8A9D073E55DFCC5673EF28CA6B966D3B94E549BF4B8EC10DE4541CE6E\
E6B2518C2D14FAA3C31744B882985625F023073EABF0DCB36F8CCFDD4457C3FD5D74FF80F5E2F8D67DFF77C70E6370418BE\
6B7761C4B3C406C8B0BA49E7AC8FF3CAA2A149BE66178F3C08BD0880B86D94B4ACA9F6274960DECE7D463C981FE14C00B3D\
C243B1F8427A41CB3EC64C37C5D0D7AAB6BBC851691A20828A3A6247EACE01654A196C714134AD774F9E9635B4806E12933\
69346D7EF753D0C00DA7E8B6E025205714E923B8F05F7F1A764A741AF8424C7F14CBFE7AD52CBFB4D8DB249089FEF425DAE\
52044E48EA838ADFF3547B3D2D4D06A075D82C7E193045AF25EA48BC4A801F08D49F468472A80C84C01819599E84BA4EBB8\
92C84D83A1381A166AB4F3E16A48F9989E988C6BD4E3A7D49B807FB76A0693770E1DE30EE5FF34BB003153ED1D2273F1B78\
5D0AEE606DEFE8B51F68564E5BBB2D8DF1A01C860FB5D7D7B7274798680C49B4C851467804B523408C5383EEDCD98B4F6A6\
8EFD61587C471C2F9A0FFFD50996E82B1BEC5F797EDD6B3894206E43978AFDAA04A869B77176605EEAE7039B3893DCC935D\
4E9A65000B50E5F0BB6994C8179898DA4BD6777C4E18A1534D3C73313F5AAB528CC6C696C87F77679A81662F9A784D75450\
E142604520A4767613757B3CA6B25F3726B8752CDD5DE8BDC7C490B41A332713881021851602914B5BC0E9B738148DFE716\
FE6FF61F01FC01EA8F31C0E13DF244E737561A37374F435A55E3B3558FE7E5632451F95D35EF7D9CA60D2CA9C148506668D\
8DD45E100C7D05C74E58F57A774AFFB3058273B9A08FE6FFFFAE0216F7C9FEE87401DF8F8A86667303F1F499E25226C375C\
DAF8F5B2505640CCB163FA71181ECAA0CE0BB1B0A7387B412AD9B14982CFACE9A1E888DE05271237B9B182CE84A7B8CD369\
405EE8976ADED90EE7C4A381DA03536A540DA83ABF0B60845F8AA3FC8DC8FD568A3245B10012F7955BE2CB2BBC5FB3A40CA\
D0D1BEB73233AD324AAD60379D6BD77C116A0B81B6BD92E0F54B77ED7D2211B7C88CA05B05D305A8BB7E452E8FC3FB5AC32\
AEF003E0AC178FA57E77FED2C87B607DA82D2039E697491FF34AF35317215F047D1D782C34D04B0AA1D10786A04122F09D2\
A2A675818AA61AA4F060077A3FEF562FC87CD8CEDF689D833961F05D1499B679E30323628EFFC71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71

HexadecimalSize=3232
DecimalSize=3891
BinarySize=12926



7*(10^15097-1)/9 - 5*10^7548
C:\pfgw>pfgw64 -q"7*(10^15097-1)/9 - 5*10^7548"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

7*(10^15097-1)/9 - 5*10^7548 is 3-PRP! (1.1921s+0.0010s)



7*(10^17847-1)/9 - 5*10^8923
C:\pfgw>pfgw64 -q"7*(10^17847-1)/9 - 5*10^8923"
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8]

7*(10^17847-1)/9 - 5*10^8923 is 3-PRP! (1.6603s+0.0010s)
 

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Patrick De Geest - Belgium flag - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com