(10^3-1)/9 + 7*10^1
*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(18*10^3-81)/99
N=181
*** N is prime!
Time: 0 sec


(10^9-1)/9 + 7*10^4
== ID:B281400FBD042 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111181111

Decimal size = 9
Binary size = 27

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

Started 11/02/2002 04:35:02 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.


(10^13-1)/9 + 7*10^6
== ID:B281400FAA3E8 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 1111118111111

Decimal size = 13
Binary size = 41

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

Started 11/02/2002 04:33:46 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.


(10^15-1)/9 + 7*10^7
== ID:B281400F97A18 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111181111111

Decimal size = 15
Binary size = 47

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

Started 11/02/2002 04:32:29 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.


(10^769-1)/9 + 7*10^384
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B2803012AB858
Created=10/16/2002 05:26:16 AM
TestCount=126
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pwp181_769.in
Expression=(10^769-1)/9 + 7*10^384
N$=A80DCA82AAE44746B1807FC40319CF7219D340BB8F680139A7408D300558EFB44D98984CCF9ED05900DFD218C9C88167C5F7EE19BD9708B4D26A52D9F71DCC971C94764A9B74B4F05F8585428812BCF0C20CB35368391D444AF589D6DF17283F3DF57A3CAE33B3F94B585D6C2315A2DB30CA15E769045E5540D2986E3F4796130587B418FC9C5090E70F2FBB82C7E4E2D6035D8BF1A8B451F6283276C326F1E3C10A5D51CE99F4A73C4E3EC83A94839BDDA90D94B9614D3490D9B1B97C06DAF62123F95F704A227ABBCF6CA27E8F55AC691B67CF8106A3BE4AE418892307CC12C351D6820527C637BAC1A54EE0EF7A1E1B1E4906BA9C2A376C6E10ADC9C65C2E1435584E98DA9217F2488D38AE87CE1C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C71C7
HexadecimalSize=638 DecimalSize=769 BinarySize=2552 [Running Times] Initialization=2.02s 1stPhase=59mn 59s 2ndPhase=6mn 25s Total=1h 6mn 27s Proved prime with 'Primo 2.0.0 - beta 3' by Patrick De Geest using a Pentium III 650 MHz chip.


(10^1333-1)/9 + 7*10^666
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3 - (1)666 8 (1)666
Format=2
ID=B27F4042DB5A0
Created=10/01/2002 07:28:24 PM
TestCount=194
Status=Candidate certified prime

[Running Times]
Initialization=2.71s
1stPhase=2h 16mn 42s
2ndPhase=16mn 2s
Total=2h 32mn 47s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F4042DB5A0-001.out" is 283 KB
and is available on demand by simple email request.


(10^1351-1)/9 + 7*10^675
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3 - (1)675 8 (1)675
Format=2
ID=B27F404CB6246
Created=10/01/2002 10:20:37 PM
TestCount=192
Status=Candidate certified prime

[Running Times]
Initialization=3.49s
1stPhase=2h 18mn 45s
2ndPhase=15mn 36s
Total=2h 34mn 25s

Proved prime with 'Primo 2.0.0 - beta 3' by Jeff Heleen
using a 1.33 GHz Athlon chip.
The file "Primo-B27F404CB6246-001.out" is 269 KB
and is available on demand by simple email request.


(10^6331-1)/9 + 7*10^3165
Xinyao Chen informs me (May 19,2022) that this number is
now a proven palindromic wing prime.
Proof was done by Masaki UKAI on September 16, 2020.

See source at
https://stdkmd.net/nrr/records.htm#nrpprime









 

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