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by jordigh 417 days ago
To be fair, 2 is also a very odd prime because it's even.

So many theorems have to say, "for every odd prime..."

https://math.stackexchange.com/questions/1177104/what-is-an-...

5 comments

The concept of “one” holds a dual role. It represents a countable unit: something you can put in a bowl and also stands for indivisibility itself. When you divide any quantity by an indivisible unit, you’re simply counting how many of those indivisibles fit within it. Then comes 2: the first number that is divisible, but only by itself and the indivisible one. That’s what makes it prime. A prime is a number divisible only by itself and by 1, the indivisible origin of all counting.
> Then comes 2: the first number that is divisible, but only by itself and the indivisible one.

This does hold in the ring Z. In the ring Z[i], 2 = (1+i)*(1-i), and the two factors are prime elements.

It's actually the least odd prime
It's hardly odd.

"Even" just means "divisible by 2"

"2 is the only prime that is divisible by 2" "3 is the only prime that is divisible by 3" "5 is the only prime that is divisible by 5"

...

"N is the only prime that is divisible by N"

Exactly, we could also have a word for multiple of three or multiple of five
Threeven is used semi-seriously.
Your explanation is true of every prime. I’m pretty sure GP just meant that “2 is the only prime with the additional characteristic of being an even number”. So it’s odd (read “interesting”) in that sense, like if it would be if (for example) any number were to be the sole prime composed of exactly X digits.
It isn't odd at all! And that I'm being pendantic. But you can't say it is very odd, and then I'm the next sentence day "for every odd prime..."
"2 is the only even prime number. Therefore, it's the oddest of them all!"