Are all Fermat numbers squarefree? | Manifold

Are all Fermat numbers squarefree?

Basic

2

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2101

91%

chance

1D

1W

1M

ALL

Fermat numbers are numbers of the form Fₙ = 2^2^n + 1. Currently, all Fermat numbers whose factorizations have been worked out are squarefree, meaning they have no square factors.

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