4 ms·
There is no greatest prime number. If there were, call it p, and let q = Π(P), P∈N:P is prime (Eratosthenes showed this is computable) Then q+1 % 1 modulo eve
by bandrami 4y ago
There is no greatest prime number.
If there were, call it p, and let q = Π(P), P∈N:P is prime (Eratosthenes showed this is computable)
Then q+1 % 1 modulo every lesser prime, meaning q+1 is prime, and p is thus not the greatest prime.
There you go. We have just proven a negative.