>-1, factors: -1, 1. HEY! NEGATIVE >ONE IS PRIME! I HEREBY PATENT MY DISCOVERY OF THE WORLD'S >FIRST NEGATIVE PRIME NUMBER!11!!
sorry, you'll have to get in line behind all of the other cranks and kooks before you who've made the same "discovery". just last week i was reading a book where the author presents the idea that -1 is a prime as his own brilliant idea. he gives a list of four example statements that he claims are stated most concisely if -1 is considered to be a prime. his first example is "every nonzero rational number is uniquely a product of powers of prime numbers p"; apparently he's too stupid to realize that -6 is both 2*3*(-1) and 2*3*(-1)*(-1)*(-1). his second example is "for distinct odd primes f(p,q) and f(q,p) differ just when p = q = -1 (mod 4)", where f is the "legendre symbol" function. this is just too brilliant for words: he's trying to argue that -1 should be treated on the same footing as the official genuine primes, and he does so by exhibiting a statement that explicitly makes -1 an exceptional case. needless to say after those first two examples i didn't bother trying to understand his last two examples which were full of tell-tale pseudo-jargon like "p-adically integral root vectors".
if you want to make a name for yourself as a prominent mathematical crank then you'll at least have to try to outdo the guy that wrote that book.