| :: [intv] if n is a fibonacci number. :: | ||||
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[Date Prev][Date Next][Date Index] [intv] if n is a fibonacci number.N is a Fibonacci number if and only if (5*N*N + 4) or (5*N*N - 4) is a perfect square! 3 is a Fibonacci number since (5*3*3 + 4) is 49 which is 7*7 5 is a Fibonacci number since (5*5*5 - 4) is 121 which is 11*11 4 is not a Fibonacci number since neither (5*4*4 + 4) = 84 nor (5*4*4 - 4) = 76 are perfect squares. |