Of all the numbers to call boring you picked the Grothendieck prime.
2 is unambiguously prime. The best motivation for the definition of primality I know is the fundamental theorem of arithmetic: every integer greater than 1 can be uniquely decomposed into a product of primes. That’s what primes are, and the uniqueness constraint is why 1 is not prime.
Gotta add context for readers.
Of all the numbers to call boring you picked the Grothendieck prime.
2 is unambiguously prime. The best motivation for the definition of primality I know is the fundamental theorem of arithmetic: every integer greater than 1 can be uniquely decomposed into a product of primes. That’s what primes are, and the uniqueness constraint is why 1 is not prime.
There’s more than one way to multiply numbers to get 1?
1, 11, 11*1, etc
But by that reasoning, 7 is not prime because you can do 7, 1*7, 1*1*7 etc.
Hence why 1 is not considered prime
So what are the prime factors of 1?
It doesn’t have any. Fundamental Theorem of Arithmetic applies to integers greater than 1.
Are you my brother?