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Old 2013-03-10, 23:08   #1
ishkibibble
 
Nov 2012
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Default Prime testing software suggestions please.

I'm trying to determine if (30^78857-1)/29 is prime.
Three types of software I used have crashed testing this.
Thank you for any pointers.
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Old 2013-03-10, 23:17   #2
firejuggler
 
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you want to look for pfgw.
(30^78857-1)/29 is 3-PRP! (51.9943s+0.0034s)
so, most probably prime.

Last fiddled with by firejuggler on 2013-03-10 at 23:19
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Old 2013-03-11, 00:24   #3
henryzz
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Quote:
Originally Posted by ishkibibble View Post
I'm trying to determine if (30^78857-1)/29 is prime.
Three types of software I used have crashed testing this.
Thank you for any pointers.
(30^78857-1)/29 -1 = 30*(30^78856-1)/29

(30^78856-1) has algebraic factors since 78856 isn't prime.
You might be able to use this to make a primality prove with a N-1 test.
You would need to factor I think 33% of N-1 and then put them in a helper file for PFGW.
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Old 2013-03-11, 00:44   #4
firejuggler
 
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henryzz i'm afraid you made a mistake there...
30*(30^78856-1)/29 is composite: RES64: [D3B186476037718B] (304.1575s+0.0032s)
maybe you meant
((30*30^78856)-1)/29?
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Old 2013-03-11, 01:24   #5
henryzz
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Quote:
Originally Posted by firejuggler View Post
henryzz i'm afraid you made a mistake there...
30*(30^78856-1)/29 is composite: RES64: [D3B186476037718B] (304.1575s+0.0032s)
maybe you meant
((30*30^78856)-1)/29?
(30^78857-1)/29 -1 = 30*(30^78856-1)/29
Notice the -1.
It is interesting how the lack of special modulus slowed the testing down by a factor of 6.
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Old 2013-03-11, 01:54   #6
firejuggler
 
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my bad.
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Old 2013-03-11, 20:14   #7
ishkibibble
 
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Default primetest

I was able to complete one test where the value is shown as prime. I will test the same value on different software and platforms.
PFGW is on the list for benchmarking.
ty!
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Old 2013-03-11, 20:34   #8
firejuggler
 
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If you have small prime - below 8000 digits- and want *definite* proof ,there is a program called 'primo' here
certification take from a few second for a 300 digits prime to a few day for a 8000 digits prime

Last fiddled with by firejuggler on 2013-03-11 at 20:36
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Old 2013-03-11, 21:58   #9
Batalov
 
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Quote:
Originally Posted by ishkibibble View Post
I was able to complete one test where the value is shown as prime. I will test the same value on different software and platforms.
PFGW is on the list for benchmarking.
ty!
And what test would that be?

How far have you factored (30^78856-1)/29 (which will produce helpers for the N-1 test)?
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Old 2013-03-11, 22:03   #10
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Quote:
Originally Posted by ishkibibble View Post
I'm trying to determine if (30^78857-1)/29 is prime.
Three types of software I used have crashed testing this.
Thank you for any pointers.
It is a known PRP, found by R.Price.
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Old 2013-03-11, 22:03   #11
firejuggler
 
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here had a free core, ran a few curve/pm1 still a looooooooooooong way before using N-1
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