Prime Curios!: 4159

4159
(another Prime Pages' Curiosity)

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4159² - 1 is one of Ramanujan's highly composite numbers. Note that the famous Hardy-Ramanujan number (1729) is the first four digits of 4159². [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]

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