Thread: "Rare" Primes
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Old 2008-08-29, 14:47   #57
retina
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Jun 2006
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Quote:
Originally Posted by R.D. Silverman View Post
Although not explicitly stated, I believe that the domain is N. Now,
f(x) is prime for x = 0, 4 and no other. If you accept the more general
definition of prime (i.e. not restricted to just N) then f(x) will be prime
i.o. (although a proof is lacking). If we allow x \in R, then f(x) is
indeed prime the required number of times.
Thanks, yeah I was assuming x is an element of R.

f(x)=398-x^2; x element of N

To satisfy Mini-Geek's requirement of total primes: f(x)=143-x^2; x element of Z

Last fiddled with by retina on 2008-08-29 at 15:11 Reason: Forgot to specifiy the Z set
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