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Pisano period: Difference between revisions
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;E.G.:
Given a Pisano period function: pisano(x), and a least common multiple function lcm(x, y):
<big>'''pisano(m × n)''' is equivalent to '''lcm(pisano(m), pisano(n))''' where '''m''' and '''n''' are '''[[wp:Coprime|coprime]]'''</big>
A formulae to calculate the pisano period for integer powers '''k''' of prime numbers '''p''' is:
<big>'''pisano(p<sup>k</sup>) == p<sup>(k-1)</sup>pisano(p)''' </big>
The equation is conjectured, no exceptions have been seen.
If a positive integer '''i''' is split into its prime factors, then the second and first equations above can be applied to generate the pisano period.
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