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Topic: Request for help with short argument
Replies: 8   Last Post: Nov 15, 2012 2:52 PM

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Posts: 31
Registered: 11/12/12
Re: Request for help with short argument
Posted: Nov 14, 2012 8:29 PM
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Thanks for looking at it, trj.

I need to think about your point - initially not sure I get your point properly, so I might be confused.

I am visualising each n as in the centre of a stretch of p_n-many numbers for each given p-n.

So n-2, n-1, n, n+1, n+2 for multiples of 5
then n-3, n-2, n-1, n, n+1, n+2, n+3 for multiples of 7
and so on.

Do the probabilities _need_ to be independent of each other in the sense you mean? Surely if we look at a range of numbers n, and test each one like this, it remains true that 3/5 of the total n in the range will be in the neighbourhood of a multiple of 5 that is not n-1 or n+1, while 3/5 . 5/7 of those n will be in the neighbourhood both of a multiple of 5 not at n-1 or n+1 and at the same time in the neighbourhood of a a multiple of 7 not at n-1 or n+1 either?

I agree it is probably at this point in the argument that I am overlooking something.

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