Prime Curios!: 414

414
(another Prime Pages' Curiosity)

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414 x 3⁴¹⁴ + 1 is prime. [Dubner]

The exponential factored form of 414 (2 x 3² x 23) consists of three 2's and two 3's; whereas its expanded form (2 x 3 x 3 x 23) has two 2's and three 3's. [Trotter]

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