8*(10^3-1)/9 - 7*(10^2+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


8*(10^9-1)/9 - 7*(10^8+1)
run"aprt-cle
Test number  N=? 188888881

Preparatory test
    Pass !

 188888881 is prime.
  0:00:00
OK

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


8*(10^15-1)/9 - 7*(10^14+1)
== ID:B286400A5C15C =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 188888888888881

Decimal size = 15
Binary size = 48

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

Started 01/21/2003 03:01:02 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.

8*(10^41-1)/9 - 7*(10^40+1)

== ID:B2865010F458C =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 18888888888888888888888888888888888888881

Decimal size = 41
Binary size = 134

-----------------------------------------------------------------
1) N+1 Test
-----------------------------------------------------------------
N = Candidate
S = 2519046
R = 7498429520099628545444937841106867
Q = 13

-----------------------------------------------------------------
2) EC Test
-----------------------------------------------------------------
N = R of preceding test
S = 13803196158392
R = 543238640823108922297
A =-35
B =-98
T = 0

-----------------------------------------------------------------
3) EC Test
-----------------------------------------------------------------
N = R of preceding test
S = 1280704
R = 424171893582667
A = 0
B = 10
T = 1

-----------------------------------------------------------------
4) N-1 Test
-----------------------------------------------------------------
N = R of preceding test
S = 266022
R = 1594499303
B = 2

-----------------------------------------------------------------
5) SPP Test
-----------------------------------------------------------------
N = R of preceding test

Started 01/22/2003 04:56:18 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.


8*(10^93-1)/9 - 7*(10^92+1)
== ID:B28690089A954 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 188888888888888888888888888888888888888888888888888888888888\
    888888888888888888888888888888881

Decimal size = 93
Binary size = 307


Started 01/26/2003 02:30:21 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.


8*(10^129-1)/9 - 7*(10^128+1)
== ID:B286903730336 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 188888888888888888888888888888888888888888888888888888888888\
    888888888888888888888888888888888888888888888888888888888888\
    888888881

Decimal size = 129
Binary size = 427


Started 01/26/2003 04:04:29 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.


8*(10^885-1)/9 - 7*(10^884+1)
[PRIMO - Primality Certificate]
Version=2.0.0 - beta 3
Format=2
ID=B286E039FE072
Created=01/31/2003 04:53:29 PM
TestCount=130
Status=Candidate certified prime

[Candidate]
File=C:\Program Files\Primo200\pdp181_885.in
Expression=8*(10^885-1)/9 - 7*(10^(883+1)+1)

N$=2D51190DB342AD57039B7F9F80811B74263FD22A8EBAC0B10BAF45DEF8821717068A94D64A1D0A8EF82098452F109F7B8514153EA76442E4CF7F0CE1751AC4342C40220D1B17C988E97391E987B14F8DC3F970EBA17A6CC4C22C87A0AD7047F02CAFD127E2527CBAD59FBB9081328CFAC9B1EA6BA30E95EDE6FBBCC3A25F319687149E4373EE7F2BA600013D231D945628558DF0F07B750395DF1AFAACBCF2644D3527D0A5DA9B9B6FCB9444B4E9E846BA1BC1133A638B6CC838A59808D01A0A73448279DECE36149AE2210BD7571D2A999692E6D246B1A5D611B5846CA120EB010A3039D9713E86BB1B4CD33DC174CD8CC54360E17FCD8A7585671AB01CF95F8738E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E31

HexadecimalSize=735
DecimalSize=885
BinarySize=2938

[Running Times]
Initialization=2.50s
1stPhase=58mn 7s
2ndPhase=8mn 32s
Total=1h 6mn 42s


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


8*(10^9425-1)/9 - 7*(10^9424+1)
3-PRP!


8*(10^14769-1)/9 - 7*(10^14768+1)
3-PRP!


8*(10^19259-1)/9 - 7*(10^19258+1)
3-PRP!


8*(10^31235-1)/9 - 7*(10^31234+1)
PRP to base 3,5,7.
PFGW Version 20040816.Win_Stable (v1.2 RC1a) [FFT v23.8]
 

[up TOP OF PAGE]

( © All rights reserved ) - Last modified : March 15, 2023.
Patrick De Geest - Belgium flag - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com