[Addendum]


I meant to add that all the prime numbers are known to be distributed 
randomly--I repeat--randomly along the real line. So it is highly improbable 
that some algorithm or formula at present with the prime number distribution 
not understood (if I am not mistaken about this), could accurately predict what 
number any given prime might have within the prime number sequence. But I am 
interested on what some professors in the field might say about this topic. Can 
such an "indexing"  formula ever exist? I don't know.

Given that Gimps's next Mersenne prime were found and given to you without you 
knowing its value in advance, could your formula actually predict its sequence 
number, given that the prime distribution still is not sufficiently understood? 
This is what I meant by "highly improbable". Your claim that such a formula 
exists seems to me to be more of an example for a Zero knowledge proof.

Robert Betts
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