Re: A problem about differences in reduced residue system.
- From: wl <wangliang_f@xxxxxxxxx>
- Date: Thu, 02 Mar 2006 07:25:22 EST
It's not very precise.
For M= 2*3*5*7*11*13*17*19 = 9699690, the maximal difference is 34=2*17
For M= 2*3*5*7*11*13*17*19*23 = 223092870, the maximal difference is 40>19*2
For M= 2*3*5*7*11*13*17*19*23*29, the maximal difference is 46=23*2.
There may be an upper bound for the difference. No more than twice the largest factor of M?
The research of gaps of primes is a hot topic. The consecutive difference of minimal reduced residue system module M may describe the dynamical character of prime system. My short paper for it could be found in http://arxiv.org/abs/math.DS/0601517, may be interesting.
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