17706Re: WIP - have you seen this?
- Mar 1, 2006Hello Bill,
your observation is well-known. It is simply because of the fact that
by N=p1*p2*p3*... +px the p1, p2, p3 are excluded as prime divisors
and therefore N with relatively large probability is prime. If N is
nevertheless not prime and you add 30 until it is prime, that is
because of the fact that after Dirichlet each arithmetic sequence of
the form a*n+b (thus also 30*n+N) contains infintitely many prime
numbers. Btw you may as well choose - instead of +: N=p1*p2*p3*... -px
and powers of p: N=p1^k1*p2^k2*p3^k3... + or - px^kx, where px^kx may
also be 1. By + or - you get a sort of symmetry in the distribution of
(small) prime numbers.
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