Are irrational numbers prime?

Davion Griffith

Davion Griffith

Answered question

2022-11-26

Are irrational numbers prime?

Answer & Explanation

vihralV5x

vihralV5x

Beginner2022-11-27Added 13 answers

Treating "prime" as meaning "not divisible by any integer other than 1 and possibly itself", we have to decide what "divisible" means. Usually, we say that n is divisible by a if there is an integer b so that a b = n. Under that interpretation, irrational numbers are certainly "prime", but so are all non-integers; remember that if a and b are both integers, so is a b.
We could also define "prime" as "divisible only by 1 and itself". Then, for example, π cannot be prime - while it isn't divisible by any integers other than 1, it isn't divisible by itself either (under our definition of "divisible" above).

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