Natural Number: the counting numbers:
1, 2, 3 ,4, 5...
Prime Number: natural number who's only natural number factors are 1 and itself:
1, 2, 3, 5, 7...
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L'Hospital's Rule, mang. I'd say there are more natural numbers. They both go to infinity, but the rate of prime numbers slows waaaaay down as they go, compared to the steady natural numbers, so... Yeah. More natural numbers.