List of variable-n primes found

[Lennart]

10071*2^482995+1 is not prime. Proth RES64: 5932B5BFFD45353B Time : 364.135 sec.



10071*2^482995-1 is Prime!

Lennart

[Oddball]

I've just checked all of the primes found in the rally and their +1 counterparts. No twins were found.

edit: The rally thread has now been unsticked.

[Oddball]

The n=480K-485K, k<100K range is complete, so here's the breakdown of primes found:

n=480K-481K: 6 primes
n=481K-482K: 8 primes
n=482K-483K: 8 primes
n=483K-484K: 1 prime
n=484K-485K: 8 primes

k=1-20K: 10 primes
k=20K-40K: 10 primes
k=40K-60K: 1 prime
k=60K-80K: 5 primes
k=80K-100K: 5 primes

It looks like the prime distribution is more uneven over ranges of k than over ranges of n.

[Lennart]

148323*2^483356-1 is Prime !
148323*2^483356+1 is composite: RES64: [627C0FF8924559E6]


Lennart

[Oddball]

Originally Posted by Lennart

148323*2^483356-1 is Prime !
148323*2^483356+1 is composite: RES64: [627C0FF8924559E6]

I got a different residue:
148323*2^483356+1 is not prime. RES64: E706A9FB79FE1491

[TimSorbet]

With PFGW 3.4.4:
148323*2^483356+1 is composite: RES64: [627C0FF8924559E6]
This matches Lennart's result. Maybe Oddball's was with a different algorithm that produces incompatible residues.

[ellipse]

Originally Posted by Mini-Geek

With PFGW 3.4.4:
148323*2^483356+1 is composite: RES64: [627C0FF8924559E6]
This matches Lennart's result. Maybe Oddball's was with a different algorithm that produces incompatible residues.

The original results file here: http://noprimeleftbehind.net/tps/res..._tps_12000.txt

matches Oddball's residue, but using PFGW gives the same residue as yours.

[mdettweiler]

Mini-Geek and Lennart: you appear to have used PFGW for your tests. Since it does a PRP test, its residues will be incompatible with those from LLR, which does a Proth (full primality) test. Oddball appears to have used LLR, hence the discrepancy. For base 2, you generally want to stick with LLR for consistency purposes.

[Lennart]

First was PFGW

Here is LLR
148323*2^483356+1 is not prime. Proth RES64: E706A9FB79FE1491 Time : 449.365 sec.

Lennart

[Lennart]

173943*2^480166-1Is Prime
179025*2^480578-1Is Prime
115095*2^480748-1Is Prime
112983*2^480882-1Is Prime
146649*2^480989-1Is Prime
182379*2^481201-1Is Prime
158655*2^481257-1Is Prime
101085*2^483510-1Is Prime
117711*2^483635-1Is Prime
103077*2^483810-1Is Prime
182523*2^483936-1Is Prime


I am just now checking the plus side.


Lennart

[mdettweiler]

Originally Posted by Lennart

173943*2^480166-1Is Prime
179025*2^480578-1Is Prime
115095*2^480748-1Is Prime
112983*2^480882-1Is Prime
146649*2^480989-1Is Prime
182379*2^481201-1Is Prime
158655*2^481257-1Is Prime
101085*2^483510-1Is Prime
117711*2^483635-1Is Prime
103077*2^483810-1Is Prime
182523*2^483936-1Is Prime


I am just now checking the plus side.


Lennart

Note that ever since we upgraded the PRPnet server to version 4.1.4, it has clients check the +1's automatically (and stores the residuals in the server results files, available from http://www.noprimeleftbehind.net/tps/). Of course, you may still want to do a doublecheck, but the initial check is automatically taken care of (generally on the same client machine that found the original -1 prime).