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From: Sankar Jayanarayanan <kartik>
Subject: Re: 9, prime gone bad.  was RE: zero blah blah
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j.cybulski@dis.unimelb.edu.au (Jacob L. Cybulski) wrote:
>In article <4f8s3l$qof@nntp4.u.washington.edu>,
>caj@tower.stc.housing.washington.edu (Craig Johnston) wrote:
>> Odd numbers not all being prime causes many 
>> problems in mathematics, such as the impossibility an equation that
>> produces only primes.
>
>Slooow! I do not think so. I vividly remember seeing a proof which stated
>that any series of integers (which obviously includes primes) can have a
>formula which generates it. I cannot remember the exact form of that
>monster but remember there were at least two of them. However, to dash
>your hope of generating primes with the speed of lightning, the formula
>was very much constructive and you needed to have all of the numbers in
>the series before you could work out the parameters of the magic formula
>(no it wasn't a lookup system either).
>

You are absolutely right. It has been proved that there exists a number 'a'
such that a[3[x]] always produces primes. Where [] represents "to the power
of". 
But the value of the number `a` has not been determined.

>Jacob
>

-Kartik

