(10^21-1)/9 + 5*10^10
== ID:B28130451F15E =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111161111111111

Decimal size = 21
Binary size = 67

Started 11/01/2002 08:07:59 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.



(10^29-1)/9 + 5*10^14
== ID:B281304509372 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 11111111111111611111111111111

Decimal size = 29
Binary size = 94

Started 11/01/2002 08:06:29 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.



(10^81-1)/9 + 5*10^40
== ID:B2813044D2F20 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111161111111111111111111\
    111111111111111111111

Decimal size = 81
Binary size = 266

Started 11/01/2002 08:02:47 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.



(10^119-1)/9 + 5*10^59
== ID:B2813044BA916 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111111111111111111111116\
    11111111111111111111111111111111111111111111111111111111111

Decimal size = 119
Binary size = 393

Started 11/01/2002 08:01:07 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.



(10^321-1)/9 + 5*10^160
== ID:B281304490E40 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111161111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111

Decimal size = 321
Binary size = 1064

Started 11/01/2002 07:58:16 PM
Running time 52s

Candidate certified prime

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

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



(10^825-1)/9 + 5*10^412
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B280200B4CBB6
Created=10/15/2002 03:17:28 AM
TestCount=115
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pwp161_825.in
Expression=(10^825-1)/9 + 5*10^412

N$=2AD606DAA080FC5E1A0B51205CA3E8CADFF25D5CE36C9CB290928A272F8E811DADA1220A440CAAF9E5CC42B1A0F617BB\
9BBF000DF54D29FC3E09E93A577A8BD6D433F1506C14BB633DB2E0CD741FA07030FF7B7A977683D4E90EA62BD76A47731B3\
C6B884B703580B22A920DB67584AF25B7AD8E8A5BD7323B21C9506C7FD40E12E21DD8092EF49E77BB61698EA2BE40B7A0EB\
1880A30F5F7AB65C1E907C5ECCE3AB1D0E13210C08883BB435CB4850348382BB614B0077F34C41C606B06C862C34B9EA105\
6982DEE5B5FF20AD230B349B2632D8841253995305D344DD6507EBCEB2459EFA13E1E04C26D29816C29B15441DD691B51D6\
70DFD5F58364B3DE6BB83AAFB78ECFDFAB67467CDE60C1812901AF985DFD1C58B691370B78A8197B9FE3B3477171C71C71C\
71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7

HexadecimalSize=685
DecimalSize=825
BinarySize=2738

[Running Times]
Initialization=2.53s
1stPhase=33mn 6s
2ndPhase=5mn 32s
Total=38mn 41s

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



(10^1121-1)/9 + 5*10^560
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3 - (1)560 6 (1)560
Format=2
ID=B27F403DF136E
Created=10/01/2002 06:02:31 PM
TestCount=165
Status=Candidate certified prime

[Running Times]
Initialization=2.14s
1stPhase=1h 8mn 3s
2ndPhase=7mn 6s
Total=1h 15mn 11s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F403DF136E-001.out" is 197 KB
and is available on demand by simple email request.



(10^2579-1)/9 + 5*10^1289
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3 - (1)1289 6 (1)1289
Format=2
ID=B27F700F14802
Created=10/04/2002 04:23:32 AM
TestCount=363
Status=Candidate certified prime

[Running Times]
Initialization=14.86s
1stPhase=62h 34mn 31s
2ndPhase=4h 27mn 5s
Total=67h 1mn 51s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F700F14802-001.out" is 1050 KB
and is available on demand by simple email request.


(10^3693-1)/9 + 5*10^1846

The near-repdigit palindrome wing prime (10^3693-1)/9+5*10^1846
has been certified prime by Darren Bedwell using Primo
and published dd. Oct 17, 2010.

Certificate here.


[PRIMO - Primality Certificate]
Version=3.0.9
WebSite=http://www.ellipsa.eu/
Format=3
ID=B336B0523523D
Created=10/14/2010 11:56:49 PM
TestCount=510
Status=Candidate certified prime

[Comments]
Write any comment here

[Running Times]
Initialization=8.43s
1stPhase=40h 46mn 11s
2ndPhase=11h 36mn 26s
Total=52h 22mn 45s

[Candidate]
File=Z:\home\darren\Desktop\primo\work\prp1846.in
Expression=(10^3693-1)/9+5*10^1846

N$=1A2EB67E9296D8D279BF3520A9AD9346E3730A045F717A93D8092CB070E34AB4F5B213D0651926EB5B32535A7991AF2B\
1F68E2E5FB2F37F704BC7F332E3BB7B1E5D8FB99CF431325D9EF9B9F779412A4DB5DBA1C807CD6590401389122B2A1C7933\
CD6C1B0870039213935510A60C9FB338770FAC09BED6D39402D0D4BB2A7AA4C157259FAD7467920015DE04C9D659F129F1F\
5E44EDDA484333B8280C6E9CB1AD7E6EA6B304E3F288857D476F816BACA7F906FD445C3111427B7D00EF4E50DA6C1AABF09\
60F16B3C2B2F3F79B9BE158B2EB4D96DBEF5A2D0C97337A0E62D3845232F9BA0436E2929BF36A9730A296081493E007D148\
098FA10CC4F81ACA88E9D3C786FE54853DBD5211F8B50D1193265F893E6C3CDF4CF27E11FD890755D89F1D947E013F48B6E\
C0A082BC6422253BDFEB7E6D1BB988B109D46AFE893DB99E06D5C99EB37E65E2BF6FB94164E7FEDF49967548B6EEE31C2C1\
C51CBEFAD5B073A606F5B36DB006CA3B3773FF205A8D10B8840FE2DBB55B56FAAC4A5B362280FBBFF4D5024A155F532E498\
197261710B1ADEE0D8E0D08BE9A24E3E54A5BADFACAD6FB10239E9748489F672974373E988FE61039AE34A6451553F25D5C\
DE8765F981F4B89A3947C7374016F48C706A775D2C19E3C6EF5B8F7199DD01723768467722349AF84AD49A206F95AF73B41\
82B643C4BF4059096EE792239B1F4A6854E79230EAADA9C8BF5922820A61638C11F0F68F820248A13498F5FA195D4473348\
138138E2C04AD0BD9E459504126CF13B344CC277D870692BF91B3D30B7689C5069D7DBB75BDA870396F3BD600F7DE445818\
B1C0EFA5FE1EC42D566B4C060A21B86D7F407481E0629B354DBFAEED690FFF35224455F6C8097BA92891C7859AD41CE0524\
70B9A5DBB72848CEECF2CBBC639ED01ECAFB42D0CD93FD7412B38AD8D194FA66F7D51E9E50E4538F6B3786D1099CEED0545\
97A4EB67CA51BEBB62C857EBCD00249D2FA8FD708268FFE085EEA463965109F452C3CFA4935A713F7F5AA78B9EDDF21CB03\
81AA03544A179920D92F625FD31FA36499F02DAA288EE26B71747DFB0303DC0DE7F89C483EB1881E38FB1D930A5C1961FDA\
A7F07203B0DF4B053C2CA6C2B76FE962D85C9498B511546618E36692BB33C5567EDABB141384638D7F7E2FA36C9631617BF\
5DC2A2E4AB27485F03A2FAD8987A3C402BC3E4F693D4F229031C87FE8FAD2DBAFAAF52AD00E0D7DA13F7A3E90809C28B482\
F89CAAA4EC943F32F782E0578C3BDBDCB4FB1ABDFD22FB734EAC6B72570AB71DC1567650CB5DA842D69FC3344085B56B6A9\
E0AA33C8939960B8B874D9115C6331D774553C08E01FB1795031CF2896179F9AAC18464BF0122ABB2A88380BF5FF55AC1D3\
E620827F046DBDD9A2A5F7851A86213FCC0EEA3DEDC63BDCDBC2AAAED31C01492E7DCE85A65C003689A3C8B21883D175DAD\
6975742CE287D14BE0D87EC9A34D725864179332A75CD1BB9D1924FFD98A244A949BBFC1C5D16D1EA4B89C8950B9EFC26B7\
3C702E4A7832346039D4112E7C7E995DC56B2166AD87DA9E6495690603743241AB759ED802C25D06AFB2430BB0127BF37AA\
C32FB680C6EC9DBC2CB785289883250FE0CDEC8678FD79256F77EDFDAFE0C11C6A4EA8BC87FFF11E0A86202A232233F100A\
A52FFA999DC60A860B1D89B722A5D7700B8F5EE51EEF01B7914DC0DFB408C76F4738B7F99968E4BD30A0664EB428758F81D\
C2A2187F1507CA3305101947BB047EC694D593F335557596F43E59AF360D9E7466664EA8FC568073871A06BE5BA5F2B1EA2\
DBE728217F23B1088B8079DC996C4ACAA25C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C\
71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C\
71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C\
71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C\
71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C\
7

HexadecimalSize=3067
DecimalSize=3693
BinarySize=12265
 

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( © All rights reserved ) - Last modified : March 25, 2023.
Patrick De Geest - Belgium flag - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com