Programs to find number patterns

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Discussion Overview

The discussion revolves around the search for programs that can identify commonalities among a set of large numbers. Participants explore the mathematical properties of these numbers and the potential for polynomial representations.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant inquires about programs to find commonalities among specific large numbers.
  • Another participant requests more context to understand the inquiry better.
  • A suggestion is made to refer to a sequence database, although it is noted that the specific numbers do not appear in any known sequence.
  • One participant emphasizes the need for a precise mathematical description of what "have in common" means.
  • A claim is made that the numbers are the first five terms of a specific polynomial sequence.
  • A participant expresses uncertainty about their original question and admits to being curious without a clear direction.
  • A later reply reiterates the need for a polynomial function to represent the numbers, suggesting that a maximum of a (x-1)th degree polynomial is necessary for X numbers.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the best approach to finding commonalities among the numbers, and multiple viewpoints regarding the nature of the inquiry and potential solutions remain present.

Contextual Notes

The discussion lacks specific definitions of mathematical terms and the assumptions underlying the inquiry about commonalities among the numbers.

gazzo
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Are there any programs that can be used to find out what numbers have in common?

eg,

748805534073
408986296450
445580425891
399528663101
571646773773

can't find anything to do it :confused:

cheers
 
Last edited:
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There's too little info in this query. What are you looking for ? And why ? Some context may help...
 
Here is always a good place for sequences: http://www.research.att.com/~njas/sequences/

However it does not seem to find your numbers in any sequence. I once wrote a number program that gave many properties of a number however I think your numbers are too big at the moment (I'm writing a newer version) sorry :frown:
 
Last edited by a moderator:
The first thing you are going to have to do is describe exactly (mathematically) what you mean by "have in common"!
 
They're obviously the first 5 terms in the sequence a_n = (63322918749/2)n^4 - (2358746821765/6)n^3 + (3510834041869/2)n^2 - (19974725393909/6)n + 2683972423043.
 
i don't know just curious
lol

not quite sure what i meant now =/
 
gazzo said:
Are there any programs that can be used to find out what numbers have in common?

eg,

748805534073
408986296450
445580425891
399528663101
571646773773

can't find anything to do it :confused:

cheers

If you have X numbers, you need a maximum of a (x-1)th degree polynomial to put them all in a function. 1 point requires a 0th degree (y=6), 2 requires a line (y=2x+6), etc. With 5 numbers it may take awhile to solve, though.
 

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