Iff X and Y are
A prime number is any number that has 2 unique divisors.
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Soupspoon wrote:Not on a con ection that I can see Youtube things easily, but the explanation that works best for me is that all (whole, positive, >1) numbers can be built up as a product of a unique accumulation of primes.
Ah, I knew I'd mentioned this elsewhere (this forum or otherwise) recently. I'm at the (current) end of that thread, saying much the same thing.Flumble wrote:See also this religious war.
Ah, and I just mentioned 0 (and, though not as far as i, its square) and having added a footnote whilst correcting a typo I'm going to have to rethink the footnote I just added... Or leave it to wiser minds than me.Note that while 1 isn't a prime, 0, i and 1/e are. Otherwise you can't factorize all numbers.
Flumble wrote:Note that while 1 isn't a prime, 0, i and 1/e are. Otherwise you can't factorize all numbers.
Demki wrote:Flumble wrote:Note that while 1 isn't a prime, 0, i and 1/e are. Otherwise you can't factorize all numbers.
1/e prime? In what context?
Flumble wrote:Demki wrote:Flumble wrote:Note that while 1 isn't a prime, 0, i and 1/e are. Otherwise you can't factorize all numbers.
1/e prime? In what context?
Non-integers of course! Otherwise, how would you factorize 1/2 or π? 1/2 is simply (1/e)^{a lot}*{a lot of primes}.
Okay, so maybe something breaks if you have 1=2*(1/e)^{a lot}*{a lot of primes}. But that just means that "unique factorization" has to be restricted to "no strict subset of a factorization may produce 1".
Flumble wrote:Okay, so maybe something breaks if you have 1=2*(1/e)^{a lot}*{a lot of primes}. But that just means that "unique factorization" has to be restricted to "no strict subset of a factorization may produce 1".
Zohar wrote:1 not being a prime is purely a matter of definition. And what you wrote in the OP, jewish_scientist, is just as valid as saying "A prime number is a natural number whose only divisor is 1 and itself, and is not 1". I mean sure, it's fine as a definition, but it still treats 1 as a special case, just without explicitly mentioning it.
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