My Math Forum  

Go Back   My Math Forum > Math Forums > Math

Math General Math Forum - For general math related discussion and news


Thanks Tree3Thanks
Reply
 
LinkBack Thread Tools Display Modes
August 8th, 2016, 06:18 PM   #21
Senior Member
 
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 552

OTheB

Number theory is pretty much beyond my knowledge.

If the numbers you want to deal with are relatively small, then the coding you want is easily done because each positive number is 1, prime, or a unique product of primes.

So if you took the 50 of the 52 letters, both minuscule and majuscule, of the English alphabet, and coded in blocks of three letters, you could use those 50 to code for the first 125000 primes. You would need, I think, to reserve at least one letter for other use. Let's say we reserve Y and Z for other use.

So I might code 1 as aab, 2 as aac, 3 as aad, 4 as aacaac, 5 as aae, 6 as aacaad, 7 as aaf, 8 as aacaacaac, 9 as aadaad, and so on. Of course your words would soon become very long, but each would uniquely describe and decompose your number.
JeffM1 is offline  
 
August 8th, 2016, 07:59 PM   #22
Senior Member
 
Joined: Feb 2016
From: Australia

Posts: 1,847
Thanks: 661

Math Focus: Yet to find out.
Quote:
I always picture MMBt as an aging bald-headed guy apoplectic with impotent rage, his face a deep shade of red from an outrageously high blood pressure and viens popping on his forehead and neck.
Quote:
Especially when you're off your medication.
Quote:
he is a loose cannon at times
Bahahaha... My my.. Nothing like a bit of banter i guess.
Joppy is offline  
August 9th, 2016, 03:26 PM   #23
Newbie
 
Joined: Jan 2016
From: England

Posts: 24
Thanks: 0

This is all very helpful. The aac aad aacaac idea is a lot like what I'm going for, only I would then need to refine this so for instance where 6 would be aacaad, but I'd want to knock it down to size, maybe becoming aabd or caad where it's clear what the two primes are without needing all the information. Minimum information to deduce the components.

EDIT: I'll also point out that I won't be using any numbers with more than 3 prime factors or numbers with multiple of the same prime factor. Also the highest prime I'm using is around 1223.
OTheB is offline  
August 9th, 2016, 08:18 PM   #24
Senior Member
 
Joined: May 2016
From: USA

Posts: 1,310
Thanks: 552

Quote:
Originally Posted by OTheB View Post
This is all very helpful. The aac aad aacaac idea is a lot like what I'm going for, only I would then need to refine this so for instance where 6 would be aacaad, but I'd want to knock it down to size, maybe becoming aabd or caad where it's clear what the two primes are without needing all the information. Minimum information to deduce the components.

EDIT: I'll also point out that I won't be using any numbers with more than 3 prime factors or numbers with multiple of the same prime factor. Also the highest prime I'm using is around 1223.
You really need help from someone who knows number theory, and I am not that someone.

However, it is obvious that using doubletons of 50 letters (distinguishing between minuscules and majuscules) would let you code 2500 primes directly, which takes you well past 1223. Furthermore, that would leave two doubletons free for other purposes. What seems promising is to reserve one doubleton for 1 and another for a plus sign.

You could code many composite numbers up to around 15 billion using between 2 and 3 doubletons, and many primes using between 1 and 4 doubletons. Unfortunately, some numbers starting somewhere around 10000 would result in very cumbersome "words" under the kind of coding scheme I am contemplating.

I think you need someone with more knowledge than I have.
JeffM1 is offline  
August 10th, 2016, 07:01 AM   #25
Newbie
 
Joined: Jan 2016
From: England

Posts: 24
Thanks: 0

ok sure, but thanks for the help anyway. I was intending to base it around components of syllables as my system needs restrictions on what letters can follow others. I have 37 onsets (38 at the start of a word), 30 nuclei, and 27 codas. So I have 30,779 word starting syllables and 29,970 other syllables. This again is far more than enough.
OTheB is offline  
Reply

  My Math Forum > Math Forums > Math

Tags
common, factors, numbers, prime



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Product Of The Least Common Multiple and Greatest Common Factor Of Whole Numbers EvanJ Elementary Math 1 October 25th, 2015 09:06 AM
common binomial factors cool908 Algebra 6 October 12th, 2014 04:37 PM
Common Factors and Reducing Fraction to LT mikeinitaly Elementary Math 1 December 27th, 2012 04:49 PM
property of numbers of factors of factors of a number mathbalarka Number Theory 15 June 15th, 2012 08:36 PM
adding fractions: unlike denominators/least common factors cafegurl Elementary Math 19 November 11th, 2009 03:48 PM





Copyright © 2019 My Math Forum. All rights reserved.