January 29th, 2012, 06:16 PM  #1 
Member Joined: Jan 2012 Posts: 40 Thanks: 0  converting multiples
Say you have a group of equations like 5*7 and 11*31. Each of theses equations are 1 and +1 respectivly away from a multiple of 6. When multiplied they will always be equal to a number of the form 6n1. Say I wanted to find out what times 6 equals the 6n part of that. So for instance 5*7=35, 6*6=36; 11*31=341 6*57=342.What I have discovered from playing around with the numbers is any time the multiples are two away from each other like 5*7 or 11*13 just converting to the nearest multiple of 6 is enough. For the case of 11*13 we would make them 12*12 and if I want that in 6n form I would divide by two and multiply by two to make 6*24. That stuff is preety easy and if there is a better way to do what I just did let me know so I dont have to divide and multiply. The real reason I opened this topic is for the other numbers. 11*31 for instance. If I take 11*31 and turn it into 12*30 then divide the 12 by 2 to get 6 and multiply the 30 by 2 to get 60 then subtract 12 from 30 to get 18 then divide 18 by 6 to get 3 and subtract 3 from 60 to get 57 I end up with 6*57=342. Hope I wasnt confusing just now. I am wondering if there is a more efficent method assuming that I do not want to calculate the orginal equation and add 1 then divide by 6. The reason that I do not want to solve the equations first is there are some large numbers to deal with and I only want the 6n conversion anyways.

January 29th, 2012, 06:49 PM  #2 
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: converting multiples
I recommend using a computer if the numbers are too large to work with directly. PARI/GP, in my .sig below, is a good choice for this kind of work; to solve this particular problm you can type (for example) Code: 378782785241*3275342785\/6 
January 30th, 2012, 11:31 AM  #3 
Member Joined: Jan 2012 Posts: 40 Thanks: 0  Re: converting multiples
This program really kicks. What does it mean after it produces a number and at the end it has [+++]?

January 30th, 2012, 11:34 AM  #4 
Member Joined: Jan 2012 Posts: 40 Thanks: 0  Re: converting multiples
Also can it read from txt documents? Like if I had two really large numbers in two txt documents would it be able to read the numbers from the txt documents? If thats possible can it save results to a txt document? Im going to be going over the faq to try to find the awnsers. Thanks for the help.

January 30th, 2012, 02:15 PM  #5  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Re: converting multiples Quote:
Quote:
Code: num1 = 12.3; num2 = 10.11; piApprox = 3.1416; You can write to files with the write and write1 commands (the former appends a newline, the latter does not).  

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