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]

The 500th prime number (3571) and the 500th semiprime (1735) are the smallest such pair that are anagrams of each other. [Gaydos]

More than 3571 years ago, an Egyptian named Ahmes wrote a pypyrus on which he recorded differently those fractions whose denominators were prime numbers.