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What is a prime number made of prime numbers called?

Updated: 8/18/2019
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13y ago

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This is a new one on us, and as we try to understand whether or not the whole idea

has any meaning, our most urgent question is: Exactly how would the first Prime number

be "made of" the other prime numbers ?

They certainly couldn't be multiplied, because then the big one would have factors,

and it wouldn't be a prime number.

They couldn't be divided, because if you divide one prime number by another one,

the quotient is never a whole number. So that can't be it either.

Could two prime numbers be added to get another one ? Well, all of the prime numbers

except for '2' are odd numbers, and if you add two odd numbers, you get an even number,

which can't be a prime number. And a similar argument probably knocks out subtraction.

So we're going to go out on a big limb here, risk looking foolish, and state that as far

as we're concerned, there's no way in general that a prime number can be "made of"

other prime numbers, and that accordingly, we don't have to worry about coming up

with a name for such a thing.

We'll be watching the watch-list for other contributors to come along and shoot down

our whole shoddy though carefully-constructed line of reasoning.

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13y ago
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