Ah, my original field of expertise. Once, when the dwarves still slept, I did a lot of work on rings and ideals.
Prime numbers are generators of prime ideals in the domain of Z. Of course, any multiplication with any divisor of 1 (and -1 is a divisor of 1), will leave the prime ideal intact.
So yes, you can call -2 or -11 a prime number if you want to. You will not gain any results from it, though.
Prime numbers are generators of prime ideals in the domain of Z. Of course, any multiplication with any divisor of 1 (and -1 is a divisor of 1), will leave the prime ideal intact.
So yes, you can call -2 or -11 a prime number if you want to. You will not gain any results from it, though.