mersenneforum.org  

Go Back   mersenneforum.org > Extra Stuff > Miscellaneous Math

Reply
 
Thread Tools
Old 2021-08-24, 21:47   #254
Uncwilly
6809 > 6502
 
Uncwilly's Avatar
 
"""""""""""""""""""
Aug 2003
101×103 Posts

236068 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
much stronger prime-like characteristics
A number is either prime or it isn't. There is on or off.
Uncwilly is online now   Reply With Quote
Old 2021-08-24, 21:52   #255
drkirkby
 
"David Kirkby"
Jan 2021
Althorne, Essex, UK

1C016 Posts
Default

Quote:
Originally Posted by Uncwilly View Post
A number is either prime or it isn't. There is on or off.
All primes are equal, but some primes are more equal than others.

See https://wychwoodschool.org/blogs/all...l-than-others/ if you didn’t study English Literature

Last fiddled with by drkirkby on 2021-08-24 at 22:23 Reason: Some people might not get my sense of humour
drkirkby is offline   Reply With Quote
Old 2021-08-24, 22:41   #256
tuckerkao
 
"Tucker Kao"
Jan 2020
Head Base M168202123

22×3×47 Posts
Default

Quote:
Originally Posted by Uncwilly View Post
A number is either prime or it isn't. There is on or off.
So are 0 and 1 on or off?

According to the binary configurations, 1 typically refers to on and 0 usually means off.

Last fiddled with by tuckerkao on 2021-08-24 at 22:42
tuckerkao is offline   Reply With Quote
Old 2021-08-24, 22:45   #257
Viliam Furik
 
Viliam Furik's Avatar
 
"Viliam Furík"
Jul 2018
Martin, Slovakia

2×353 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
So are 0 and 1 on or off?

According to the binary configurations, 1 typically refers to on and 0 usually means off.

Viliam Furik is offline   Reply With Quote
Old 2021-08-24, 22:50   #258
tuckerkao
 
"Tucker Kao"
Jan 2020
Head Base M168202123

56410 Posts
Default

The only prime with the binary-0 ender is 102. All others have the unit-digit of 1: 112, 1012, 1112, 10112, 11012 ...

Last fiddled with by tuckerkao on 2021-08-24 at 22:53
tuckerkao is offline   Reply With Quote
Old 2021-08-24, 22:59   #259
mathwiz
 
Mar 2019

5·41 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
The only prime with the binary-0 ender is 102. All others have the unit-digit of 1: 112, 1012, 1112, 10112, 11012 ...
...which is a very roundabout way of saying that all primes other than 2 are odd.
mathwiz is online now   Reply With Quote
Old 2021-08-24, 23:08   #260
Viliam Furik
 
Viliam Furik's Avatar
 
"Viliam Furík"
Jul 2018
Martin, Slovakia

13028 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
The only prime with the binary-0 ender is 102. All others have the unit-digit of 1: 112, 1012, 1112, 10112, 11012 ...
Yes, and?
Viliam Furik is offline   Reply With Quote
Old 2021-08-24, 23:14   #261
drkirkby
 
"David Kirkby"
Jan 2021
Althorne, Essex, UK

26×7 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
According to the binary configurations, 1 typically refers to on and 0 usually means off.
Most commonly people would associate one with being on, and zero being off. I have seen some mains power switches with just 1 & 0 on them. I guess it is more obvious than on/off if someone doesn’t speak English.

Maybe a number can be simultaneously prime & composite. (When I first saw someone put a picture of a cat, I thought it was going to be Schrödinger's cat)
drkirkby is offline   Reply With Quote
Old 2021-08-24, 23:16   #262
tuckerkao
 
"Tucker Kao"
Jan 2020
Head Base M168202123

22·3·47 Posts
Default

Quote:
Originally Posted by Viliam Furik View Post
Yes, and?
The only Senary primes with the exceptions are 2 and 3. All others have the unit-digit of 1 or 5: 5, 116, 156, 216, 256, 316, 356, 456, 516 ...

Senary base has a specific strength which is to be able to notice the multiples of 2 and 3 very quickly and possible on 5 (base - 1) and possible on 116 (base + 1) or decimal 7.

Combine the above Senary line with the binary line, then you'll get the base I like the most.

Last fiddled with by tuckerkao on 2021-08-24 at 23:25
tuckerkao is offline   Reply With Quote
Old 2021-08-24, 23:34   #263
kriesel
 
kriesel's Avatar
 
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

22·1,481 Posts
Default

Quote:
Originally Posted by drkirkby View Post
Maybe a number can be simultaneously prime & composite. (When I first saw someone put a picture of a cat, I thought it was going to be Schrödinger's cat)
https://www.mersenneforum.org/showpo...0&postcount=51
https://www.mersenneforum.org/showpo...0&postcount=79
leading to a glossary entry for Schrödinger number.
Can cats count? There's some evidence mine can, at least to 4.
kriesel is offline   Reply With Quote
Old 2021-08-25, 00:12   #264
Dobri
 
"刀-比-日"
May 2018

3568 Posts
Default

Quote:
Originally Posted by tuckerkao View Post
The only prime with the binary-0 ender is 102.
102 = (1+i)(1-i)
Dobri is offline   Reply With Quote
Reply

Thread Tools


Similar Threads
Thread Thread Starter Forum Replies Last Post
Automatic fetch of Trial Factoring work for GPU mfakt* LaurV GPU to 72 81 2020-12-02 05:17
Simple Script to get Trial Factoring Work jfamestad PrimeNet 3 2016-11-06 20:32
Why trial factoring work chopped into chunks? lidocorc PrimeNet 4 2008-11-06 18:48
How does the trial factoring work with 15K*2^n-1 jocelynl 15k Search 0 2003-07-11 14:23
How does trial-factoring work? ThomRuley Software 5 2003-05-30 20:34

All times are UTC. The time now is 14:22.


Fri Dec 3 14:22:12 UTC 2021 up 133 days, 8:51, 0 users, load averages: 1.14, 1.24, 1.23

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.