(10^5-1)/9 + 3*10^2
run"aprt-cle
Test number  N=? 11411

Preparatory test
    Pass !

 11411 is prime.
  0:00:00
OK

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



(10^7-1)/9 + 3*10^3
== ID:B280F00AD7DE8 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 1114111

Decimal size = 7
Binary size = 21

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

Started 10/28/2002 03:09:30 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.



(10^65-1)/9 + 3*10^32
== ID:B280F00AB59F0 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111114111111111111111111111111111\
    11111

Decimal size = 65
Binary size = 213

Started 10/28/2002 03:07:09 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.



(10^91-1)/9 + 3*10^45
== ID:B280F00A7C448 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111111111411111111111111\
    1111111111111111111111111111111

Decimal size = 91
Binary size = 300

Started 10/28/2002 03:03:14 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.


(10^3089-1)/9 + 3*10^1544

Darren Bedwell certified the near-repunit palindrome wing prime
(10^3089-1)/9+3*10^1544, listed as a PRP, by Primo on Sat October 9, 2010.

http://zerosink.blogspot.com/2010/10/primo-certificate-for-103089-193101544.html

Certificate here


[PRIMO - Primality Certificate]
Version=3.0.9
WebSite=http://www.ellipsa.eu/
Format=3
ID=B336304995B4A
Created=10/06/2010 09:26:04 PM
TestCount=406
Status=Candidate certified prime

[Comments]
Write any comment here

[Running Times]
Initialization=5.42s
1stPhase=10h 37mn 22s
2ndPhase=5h 35mn 6s
Total=16h 12mn 34s

[Candidate]
File=Z:\home\darren\Desktop\primo\work\11411.in
Expression=(10^3089-1)/9+3*10^1544

N$=4CF4B61D9703D493020D0F90F7BD76445B84E97B69C60A7FF03355517F15E68F1C84117B5C9D56392E18C2678F169AFC\
23D65D7D2B94E33F2C4BC2AAF5AB1A938533F0002F472877AD286B66E1550680857AFF91020B2C1B109F0072F0C629910CF\
D2855EE231888B2A50F21600B8BC81BF56A956C7F2BC87FF06A1E2FAF9002D60C7BA0A4500924EADEBFAA0ADF1F43795696\
C2A1FB62DD8439BBD3E58DFF2D733C8535EE53F4377F2278342C6782121DDAC5544DA413830022036CF8D1FA738B878CA22\
49668CD051970B87159D5A1EC9C6A6ABF9738F8A3A4A1469117F12D96B72CBAB63CC7DE010F5C2150D8D4DB209A1BD7DEFF\
DE51C9D4DAAF636911D116E41860AFF1E38E5132E5FA08CE91AD00C5E40B58E8A502B41180B20E92345456CFB6C47383B71\
E67D02F42A2CC1108CF20AE1EDB42197D387D94A8838D96ED3DF4F8BDD11CDEFA0E0BB9BECADBD0421C6894A1E1AC3D3FD8\
23FB6FE791FAE62B57EE57A0E57E33E97B43D7D8F6D4A00652F72D7FFC33AD286E5908C285CCB8B22F5F4E36F55F6547141\
95F6DE5B70ABA23A81E0062859DB492E19F63B1FD6B0F57BEF5975F382C74FBEDA5309B7D5C4E22047DD3FF106AEEA10622\
8AEE4101A11C99330EB24143406B4E6660BFB11E4C498A644986670CC26655553E5F97A3117A612C78CE0D719216EC9E64E\
B91AEC136282E67FD5C398C6034F0ADD0A0963DA6371D8121F64C3D60F7094A1A09B34CF56563F6D7251F2EB03CD8E88918\
999027817B936E68C645568AB210B722F458657363247D0C9E873FBAEF6117E9BB8EBD999438D5C077A50B7C5652987C159\
15846168FCCBF9A62D97D4B04A1AAF2E5B2D8E64DCE2B1069DE9D76F68F2A5C445FB916F22BDA354608B2320A41D7A95CD5\
831E3612428C8126A61A55A3C560C1FFF161ABA1C1F4A824844B8FE7FC13CB4D6713398A0D19ABF8D52C309AC5CC55CBCF4\
6A79F70563ADCD3E950839339716722907DD2E01C81E8E210B08C60F6B0F1B6BAF8302BA2518F8DE872051D7956558D69F6\
BDDFF6E23D24BD68C5F80AA36F19DA4BF9D07BE2A48B70F92EDB2BB9D0BA14166183DA2D34C9920A2B32A7D238BEA042437\
A485C99141694C88B2DFAE534E19D394808709BA425881105408E09901BD25A4089BFD4B7120FF6C8DDD3A771DAB9E7A793\
8F4499029AF83F361732D491903C6390D2B29D563CC0674FD6DEB47CBC591BCAE4EF4F9517C5835439EEA7C882AA0FE8A1F\
442CDF08F9B15350F94ABC1D2F60521C5C83684DA499BE4F18D4C786B6D2908B8AAE46B0D035279437EA5AF050B64F52FAB\
46C4A011B0CE8591FC10D738AB04FE63CAFFCD34815F48CF6D3167A057615A7350ACB0416BF9F98F767CD154ABCD48FBE31\
BEA59703AEC9476CFBBAA76C75A9BFA77411966978674D44C6482E299DA572D697835968ED4985A755F5C33D1D2FEDC030F\
BF7469BDCF648E1194BB9C0B8D448FB4C1521D496750AFCB890DA81A23B4E0C7DD1C45BD8F074F02E5C67D6649B77C74226\
B614C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7\
1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7

HexadecimalSize=2565
DecimalSize=3089
BinarySize=10259



(10^299221-1)/9 + 3*10^149610
C:\pfgw>pfgw64 -q"(10^299221-1)/9+3*10^149610"
PFGW Version 4.0.4.64BIT.20221214.Win_Dev [GWNUM 30.11]

Detected in MAXERR>0.45 (round off check) in prp_using_gwnum
Iteration: 754194/993987 ERROR: ROUND OFF 0.45457>0.45
PFGW will automatically rerun the test with -a1
(10^299221-1)/9+3*10^149610 is 3-PRP! (1253.9049s+0.0020s)
 

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E-mail address : pdg@worldofnumbers.com