Re: About prime numbers
- From: Don Taylor <dont@xxxxxxxxxxxxxxx>
- Date: Wed, 06 Jul 2005 01:10:20 -0500
"Gabriel Vizena" <gabvizena@xxxxxxxxx> writes:
>n - positive integer
>p(n) is the n-th prime number
>g^a is a times composition of g. [for example g^2(x) = g(g(x))]
>u(n) = p(n + 1) - p(n)
>v(n) = p(u(n)) - u(n)
>Does there exist integer k such that v^k(n) = 1 for any possible n?
>Does there exist integer q such that u^q(n) <= 4 for any possible n?
Assuming "for any possible n" means that you want to find whether
there exists some fixed value for k such that your condition is
satisfied for all integer values n, no matter how large n might be.
Hint: how large can u(n) get?
>Thank you
>Gabriel
.
- References:
- About prime numbers
- From: Gabriel Vizena
- About prime numbers
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