mersenneforum.org Getting others to do the work on exponents I like (was: Trial Factoring Progress)
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2021-08-24, 21:47   #254
Uncwilly
6809 > 6502

"""""""""""""""""""
Aug 2003
101×103 Posts

236068 Posts

Quote:
 Originally Posted by tuckerkao much stronger prime-like characteristics
A number is either prime or it isn't. There is on or off.

2021-08-24, 21:52   #255
drkirkby

"David Kirkby"
Jan 2021
Althorne, Essex, UK

1C016 Posts

Quote:
 Originally Posted by Uncwilly 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

2021-08-24, 22:41   #256
tuckerkao

"Tucker Kao"
Jan 2020

22×3×47 Posts

Quote:
 Originally Posted by Uncwilly 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

2021-08-24, 22:45   #257
Viliam Furik

"Viliam Furík"
Jul 2018
Martin, Slovakia

2×353 Posts

Quote:
 Originally Posted by tuckerkao So are 0 and 1 on or off? According to the binary configurations, 1 typically refers to on and 0 usually means off.

 2021-08-24, 22:50 #258 tuckerkao   "Tucker Kao" Jan 2020 Head Base M168202123 56410 Posts 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
2021-08-24, 22:59   #259
mathwiz

Mar 2019

5·41 Posts

Quote:
 Originally Posted by tuckerkao 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.

2021-08-24, 23:08   #260
Viliam Furik

"Viliam Furík"
Jul 2018
Martin, Slovakia

13028 Posts

Quote:
 Originally Posted by tuckerkao 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?

2021-08-24, 23:14   #261
drkirkby

"David Kirkby"
Jan 2021
Althorne, Essex, UK

26×7 Posts

Quote:
 Originally Posted by tuckerkao 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)

2021-08-24, 23:16   #262
tuckerkao

"Tucker Kao"
Jan 2020

22·3·47 Posts

Quote:
 Originally Posted by Viliam Furik 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

2021-08-24, 23:34   #263
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

22·1,481 Posts

Quote:
 Originally Posted by drkirkby 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.

2021-08-25, 00:12   #264
Dobri

"刀-比-日"
May 2018

3568 Posts

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

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