How many bases $b$ are there such that $663_b$ is prime?

asked Jan 23, 2021 79.9k views

0 votes

How many bases
$b$

are there such that
$663_b$

is prime?

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4 votes

Answer:

none

Explanation:

We assume you intend positive rational bases.

663_b is divisible by 3, so cannot be prime.

Mistiru answered Jan 29, 2021