Prime Curios!: 383

383
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383 is the smallest p(n) such that the continued fraction expansion of [p(n)+sqrt(p(n+1))]/p(n+2) has a prime number of coefficients in its periodic portion. [Rupinski]

Submitted: 2002-09-01 21:45:03; Last Modified: 2008-01-30 11:28:00.