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Generate N numbers of the Fibonacci sequence, calculate the Golden Ratio convergence (phi), and test whether any number is a Fibonacci number.
Golden Ratio (φ)
≈ 1.6180341
Total Sum
10945
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Explore the famous Fibonacci mathematical sequence where each number equals the sum of the two preceding numbers, converging on the Golden Ratio (1.618033...).
F(0) = 0, F(1) = 1, and for n >= 2: F(n) = F(n-1) + F(n-2).
According to Gessel's theorem, an integer N is a Fibonacci number if and only if (5*N^2 + 4) or (5*N^2 - 4) is a perfect square.
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