John D. Cook 2/5/2026

Fibonacci number certificates

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This article discusses the concept of computational certificates, using Fibonacci number verification as an example. It explains a theorem that a number is Fibonacci if 5f² ± 4 is a perfect square, and how a provided certificate allows for faster verification than generating the sequence. It connects this to broader topics like Pratt certificates for primes and proof systems.

Fibonacci number certificates

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