Recent content by LDP

  1. LDP

    Graduate Pisano Periods - Fibonacci Numbers mod p

    Indeed, I should have said "only odd primes". Good catch.:approve: I will add some more observations on this topic as time permits.
  2. LDP

    Graduate Pisano Periods - Fibonacci Numbers mod p

    :smile: Thanks. No, I was trying to find - does not divide - but couldn't so I sort of made that up. But perhaps I should clarify it, because it is not the standard notation.
  3. LDP

    Graduate Pisano Periods - Fibonacci Numbers mod p

    Let Fn be the nth number of a Fibonacci sequence. We know that Fnmod(p) forms a periodic sequence (http://en.wikipedia.org/wiki/Pisano_period) called the Pisano Period. Let p = a prime such that p\equiv{2,3}mod 5 so that h(p)\mid 2 p + 2. Let h(p) denote of the length of the Pisano period. If D...