Saturday, March 02, 2013

[vqyxdxpt] Fitting a prime generating polynomial

One can obviously exceed Euler's prime-generating polynomial by fitting a high degree polynomial through a bunch of primes.

What do such polynomials look like?  Try fitting the first 41 primes.  How wavy is it?

Instead of the first primes, sample according to the order of the polynomial, e.g., nextprime(n^40).  Is it less wavy?

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