# 4159

This number is a prime.

4159^{2} - 1 is one of Ramanujan's highly composite numbers. Note that the famous Hardy-Ramanujan number (1729) is the first four digits of 4159^{2}. [Gupta]

The arithmetic mean of the two successive Mersenne primes 2^7-1 and 2^13-1. It is the largest known prime with this property. [Earls]

The first 4-digit prime to occur in the decimal expansion of π. [Loungrides]

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

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