October 9th, 2013, 04:40 AM  #1 
Newbie Joined: Oct 2013 Posts: 1 Thanks: 0  formula
Hello experts I need your help in something please. I am searching for a formula that once applied on a number it will generate another (64583) as a code. And the codes won't be repeated twice. which means: if i have the number 5. and i applied the formula on 5, i will obtain a result: 64757 the next time i will apply the formula on he number obtained last time (64757) . i get a second number : 67382 the next time i will apply the formula on he number obtained last time (67382) . i get a second number : ..........and so on and i need the results to be different.(with no repetition) Any help would be appreciated. Thank you 
October 9th, 2013, 06:17 AM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: formula
??? Perhaps I am not understanding what you intend but just multiplying by a positive constant (other than 1) will do that. If the multiplier is larger than 1 each number will be larger than the preceding so no repetitions. If the multiplier is less than one, each number will be less than the previous so no repetitions. If you mean, for any distinct a and b, NONE of the numbers in the sequence for a is equal to a number in the sequence for b, that is not possible. To take an obvious counterexample, no matter what function you are using, for a given a, take b equal to one of the numbers in the sequence for a. 

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