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Mathematics Forum
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| Euler Quote | Reply | | Nth Prime posted on: 6/4/2006 3:20:15 AM Does anyone know of a good program for computing all kinds of regressions, with answers out to large numbers of decimal places? I ask because my work on a proof of Goldbach's Conjecture has lead to some interesting results regarding the Nth prime number. |
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The Riemann Hypothesis
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Nth Prime
replied on: 6/4/2006 4:33:07 AM I've never used it, but Mathematica comes highly recommended for that sort of thing. What level of Mathematics are you doing? If it's something I can understand I'd be interested in seeing the affect of Goldbacks conjecture. |
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Euler
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Nth Prime
replied on: 6/4/2006 1:06:54 PM I am using some topics found in Advanced Calculus to derive natural log regressions on a curve I have discovered- which when used correctly can help define a series of numbers which very closely resembles the sequence of the primes. With this I can make an algorithm for the nth prime number. As for its affects on Goldbach's Conjecture- unless I can refine the equation well enough so that it defines the primes exactly (as of right now it has accuracy with around 1-2% error up to roughly the 10,000th prime) then it won't be much use for Goldbach's Conjecture. It will, however, provide a very accurate estimate of the nth prime which can be used to find the next highest prime. In addition to this, it can be construed to give you the exact number of primes beneath a given number- which will render the Prime Number Theorem usless, as the PNT is merely an asymptotic approximation; whereas my equation is precise. |
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