(10^3-1)/9 + 2*10^1
*** VFYPR 1.13F  F_max=100000 S_min=100000 h=0 a=0 C=0 J=0 D=0 
N=(13*10^3-31)/99
N=131
*** N is prime!
Time: 0 sec


(10^5-1)/9 + 2*10^2
run"aprt-cle
Test number  N=? 11311

Preparatory test
    Pass !

 11311 is prime.
  0:00:00
OK

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


(10^39-1)/9 + 2*10^19
== ID:B280D03651FA0 =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111131111111111111111111

Decimal size = 39
Binary size = 127

Started 10/26/2002 03:49:18 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.


(10^195-1)/9 + 2*10^97
== ID:B280D03635DBE =============================================

PRIMO 1.2.1 - Primality Certificate

-----------------------------------------------------------------
Candidate
-----------------------------------------------------------------
N = 111111111111111111111111111111111111111111111111111111111111\
    111111111111111111111111111111111111131111111111111111111111\
    111111111111111111111111111111111111111111111111111111111111\
    111111111111111

Decimal size = 195
Binary size = 645

Started 10/26/2002 03:47:23 PM
Running time 8s

Candidate certified prime

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

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


(10^19637-1)/9 + 2*10^9818
3-PRP!











 

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