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*(10^93-1)/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$=2D51190DB342AD57039B7F9F80811B74263FD22A8EBAC0B10BAF45DEF8821717068A94D64A1D0A8EF82098452F109F7B\
8514153EA76442E4CF7F0CE1751AC4342C40220D1B17C988E97391E987B14F8DC3F970EBA17A6CC4C22C87A0AD7047F02CA\
FD127E2527CBAD59FBB9081328CFAC9B1EA6BA30E95EDE6FBBCC3A25F319687149E4373EE7F2BA600013D231D945628558D\
F0F07B750395DF1AFAACBCF2644D3527D0A5DA9B9B6FCB9444B4E9E846BA1BC1133A638B6CC838A59808D01A0A73448279D\
ECE36149AE2210BD7571D2A999692E6D246B1A5D611B5846CA120EB010A3039D9713E86BB1B4CD33DC174CD8CC54360E17F\
CD8A7585671AB01CF95F8738E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38E38\
E38E38E38E38E38E38E38E38E38E38E38E38E38E38E31 |
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]
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( © All rights reserved ) - Last modified : March 15, 2023.
Patrick De Geest - Belgium
- Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com