For a while I thought I had discovered some new mathematics. Alas no. Every Coin Has Two Sides. This paper from 1960 by D.D. Wall has no secrets for me. I was well on my way re-discovering and proving until I searched for similar results. I used the Open University library services of course and within a few minutes I found a relevant paper. All this activity is due to NT book 2 from M381.
A Fibonacci series modulo m is cyclic. For example the series mod 3, starting with 0,1 is :
0 1 1 2 0 2 2 1 - 0 1 etc.
and has length 8.
More in the paper.
Dream on. I wished that I could travel back in time. To the year 1914 for example. I would go to Cambridge, England. I would take Number Theory lectures from G.H. Hardy and would make friends with Srinivasa Ramanujan. On the way back to 2011 I would stop the clock somewhere in the midst of World War II, to meet Alan Turing to watch him cracking the Enigma code.
13-2016 Open letter to Open Source for You (OSFY)
5 months ago