Prime Curios!: 65537

65537
(another Prime Pages' Curiosity)

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The smallest prime that is the sum of a nonzero square and a nonzero cube in four different ways: 65537 = 122² + 37³ = 219² + 26³ = 255² + 8³ = 256² + 1³. [Post]

Submitted: 2006-10-14 13:48:20; Last Modified: 2009-03-08 00:02:22.