Go Back > Fun Stuff > Lounge

Thread Tools
Old 2004-12-27, 05:00   #1
Bemusing Prompter
ixfd64's Avatar
Dec 2002

28·32 Posts
Default supercomputers and Fermat/double-Mersenne numbers

A while ago, I was considering sending an email to supercomputer owners about helping GIMPS, but many people said that it wasn't a great idea.

However, I was wondeirng about sendign an email asking them to trial-factor a Mersenne number or a Fermat number and not make any mention about the DC projects that are trying to find factors.

For example:


I have an intriguing mathematical problem I once heard of. If 22 - 1 = 3 is prime, 23 - 3 = 7 is prime, 27 - 1 = 127 is prime, and 2127 - 1 is prime, would 22[sup]127 - 1[/sup] - 1 be prime?

So far, no-one has found such a factor with a PC, but the <supercomputer name> might be able to find a factor.

Would it be possible for the <supercomputer> to trial-factor this number?

I'd love to hear the results.
What do you think?
ixfd64 is offline   Reply With Quote
Old 2004-12-27, 21:02   #2
clowns789's Avatar
Jun 2003
The Computer

17D16 Posts

Are you sure it'll have extra cycles? Even if they accept, they'll have to download from this website and figure out anyway. You'll also have to mention it doesn't interrupt the computer.
clowns789 is offline   Reply With Quote
Old 2004-12-27, 21:05   #3
6809 > 6502
Uncwilly's Avatar
Aug 2003
101×103 Posts

8,641 Posts

Who is going to write the code for the SC?
Uncwilly is online now   Reply With Quote
Old 2004-12-27, 21:13   #4
cheesehead's Avatar
"Richard B. Woods"
Aug 2002
Wisconsin USA

22×3×641 Posts

Don't do it. This is also a bad idea.

asking them to trial-factor a Mersenne number or a Fermat number and not make any mention about the DC projects that are trying to find factors.
You're trying to be sneaky. But Mersenne and Fermat numbers are so well known (I first read about them about age 11-12, at a time when computers still needed their own air-conditioned rooms) that any mathematically-involved person who reads your proposed message will instantly recognize them as such. And most of those people will already be aware of the DC projects concerned with factoring such numbers.

In order for sneakiness to succeed, the audience has to be ignorant of the true goal. What you have here is roughly the reverse. You'd just look foolish to your recipients.

For one thing, you give yourself away. When you write "So far, no-one has found such a factor with a PC ...", you're implying that you're aware of the DC projects. :)

Honesty is the best policy in this field.
cheesehead is offline   Reply With Quote

Thread Tools

Similar Threads
Thread Thread Starter Forum Replies Last Post
ecm with Fermat numbers ET_ FermatSearch 1 2016-08-02 19:40
P-1/P+1 on Fermat numbers ATH Operazione Doppi Mersennes 2 2015-01-25 06:27
A property of Fermat numbers. Already known ? T.Rex Math 6 2006-09-17 22:11
LLT numbers, linkd with Mersenne and Fermat numbers T.Rex Math 4 2005-05-07 08:25
Fermat Numbers devarajkandadai Math 8 2004-07-27 12:27

All times are UTC. The time now is 18:20.

Wed Sep 30 18:20:07 UTC 2020 up 20 days, 15:31, 0 users, load averages: 1.45, 1.74, 1.76

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, 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.