Is infinity a prime number?

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Infinite is not a number so asking if infinity is a prime or not is a meaning less question. However we have a close mathematical analogy. A consequence of the prime number theorem is that the probability that a random positive integer [math]n[/math] is a prime is [math]\frac{1}{\log n}[/math]. read more

Infinity is not a number in the field of real numbers. ∞ - ∞ and ∞/∞ are clearly ambiguous and undefined. Even if it was, we would have to say that 2 * ∞ = ∞, so 2 would be a factor of ∞ and it would not be a prime number. read more