# 3571

This number is a prime.

(Golden Ratio)^17 is almost exactly 3571 (the 500th prime). The first three powers of 6n-1 and 6n+1 all give close approximations to prime numbers. [Homewood]

The only distinct-odd-digit Lucas emirp. [Loungrides]

The first disparity of 2 occurs at the 500th term of the "Hamlet Sequence." That is to say, at 3571. [Gaydos]

(There are 2 curios for this number that have not yet been approved by an editor.)

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