Largest Prime Numbers

What is a Prime Number? An integer, say $p$ , [ $\ne {0}$ & $\ne { \pm{1}}$ ] is said to be a prime integer iff its only factors (or divisors) are $\pm{1}$ & $\pm{p}$ . As? Few easy examples are: $\pm{2}, \pm{3}, \pm{5}, \pm{7}, \pm{11}, \pm{13}$ .......etc. This list goes up to infinity & mathematicians are trying to find the larger one than the largest, because primes…