Go Back > Prime Search Projects > Riesel Prime Search

Thread Tools
Old 2020-02-14, 12:30   #1
sweety439's Avatar
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

3·1,039 Posts
Default How do we calculate the weight?

How do we calculate the weight for a form (k*b^n+c)/gcd(k+c,b-1) for fixed integers k >= 1, b >= 2, c != 0, gcd(k,c) = 1, gcd(b,c) = 1.

I have a research that whether the form (k*b^n+c)/gcd(k+c,b-1) can contain a prime (there are special cases, such as (27*8^n+1)/7, (1*8^n-1)/7, (1*16^n-1)/15, and (4*16^n+1)/5, they can contain only one prime (because of the algebra factors), thus the weight is also 0, besides, there are also cases without covering set or algebra factors, but cannot contain a prime, such as 8*128^n+1 and 32*128^n+1)

(I know that the dual forms have the same weight)

Last fiddled with by sweety439 on 2020-02-14 at 12:37
sweety439 is offline   Reply With Quote

Thread Tools

Similar Threads
Thread Thread Starter Forum Replies Last Post
How to calculate Nash/robinson weight? cipher No Prime Left Behind 6 2009-05-09 15:35
Website is not able to calculate? jmb1982 PrimeNet 1 2009-02-23 15:13
Getting a new Prime to calculate roemer2201 PrimeNet 2 2008-12-20 16:12
NEW YOU FORMULATE THAT THEY CALCULATE PI ewmayer Miscellaneous Math 1 2007-04-09 21:54
How do you calculate? fropones Lone Mersenne Hunters 1 2003-05-27 23:01

All times are UTC. The time now is 20:44.

Tue Dec 7 20:44:33 UTC 2021 up 137 days, 15:13, 1 user, load averages: 1.49, 1.51, 1.43

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2021, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.