On 10/14/2010 1:15 PM, Rich Cooper wrote:
> what I meant by the statement "there is no function that can iterate the
> primes", and perhaps I should have originally said "directly, without
> iterating other types", which seems to have set off this mess. (01)
The word 'iterate' seems to be the trigger that created the mess. (02)
I would interpret your wish in the following terms: (03)
Find a closed-form expression that defines a function Pr(n), which
for any positive integer n produces the n-th prime. (04)
In other words, you want a statement of the following form that
computes the n-th prime: (05)
Pr(n) = some algebraic expression that uses n, but does not
contain any nested or implied loop or recursive function. (06)
I agree that no such definition exists. (07)
John (08)
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