Re: Fastcode IsPrime B&V 3.1
From: Reinaldo Yañez (ryaayr_at_arnet.com.ar)
Date: 11/16/03
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Date: Sat, 15 Nov 2003 23:23:23 -0300
Hi Dennis:
I will try to answer your questions:
Question 1: I do not know.
Question 2 & 3: Modular congruence is an equivalence relationship. The =
(equal) sign is somehow "overloaded", in truth it should be noted like " =
(_m) " (conguent modulo m). Generally that's notated p = q (m) "p is
congruent to q modulo m" More on this can be found here:
http://www.risc.uni-linz.ac.at/courses/ws99/formal/slides/relations1/index_2
6.html
Regards,
Reinaldo
"Dennis" <marianndkc@home3.gvdnet.dk> wrote in message
news:3fb67a54$1@newsgroups.borland.com...
> Hi Guys
>
> I am still messing around with the basics. I am trying to understand the
> different prime tests presented on the prime pages
>
> http://www.utm.edu/research/primes/prove/index.html
>
> In chapter 2.2 Fermat's little theorem is explained and used as basis for
a
> Weak Probable Prime Base test.
>
> Question 1: Why is "Weak Probable Prime Base" abbreviated PRP and not WPPB
> or PPB?
>
> Some text from the theorem.
> "In particular, if p does not divide a, then ap-1 = 1 (mod p)."
>
> Question 2: Should the formula correctly be written like this? ap-1 mod P
=
> 1.
>
> Some text from the explanation.
> "If the result is not one modulo n, then n is composite."
>
> Question 3: Is this true; one modulo n = 1, and should the sentence be "If
> the result is not 1, then n is composite." ?
>
> Regards
> Dennis
>
>
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