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The 61899digit Fibonacci number F(296182) is the product of two probable primes whose ratio differs from sqrt(5) only at the 61899th decimal place. Explanation: in January 2003, Bouk de Water discovered that the 30950digit Lucas number L(148091) is probably prime; in February 2003, T. D. Noe discovered that the 30949digit Fibonacci number F(148091) is probably prime. [Broadhurst]
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