Dear Salah;

Infinity can be: Prime, Composite, Rational, Irrational...as long as we can't reach it we are not able to classify it, unless if we arrive at infinity.

Regards

Miguel

Infinity is a number, We are interested to discover it. Sometimes by asking questions to delve deeply inside it. We should bravely encounter such questions not to flee away.  

Moreover, infinity is nothing but the complex root of -1. If you are interesting see the attach.

Article New philosophical view merging infinity to the imaginary number

The distance to the horizon of the universe is infinite

Research The infinte distance horizon and the hyperbolic inflation

It is interesting, from what we know so far is a prime number because it can only be divisible by itself and between 1. My theory about infinity is that that number behaves as the number 1, which can not be exponentiated or has roots different to the same 1

Large prime numbers rarely exist. could we spot the probability that infinity to be prime is zero ?

Miguel Ángel Montes noticed that “infinity is not a number”, or more precisely, infinity is not a real number. Moreover, infinity is not a complex number. In mathematics, “infinity” is often treated as a number (i.e., it counts or measures things: “an infinite number of terms”) but it is not the same sort of number as either a natural or a real number (see, e.g., https://en.wikipedia.org/wiki/Infinity).