$3 、  A$ number $\mathrm{A}$ is a prime number, and $\mathrm{A}+14 、 \mathrm{~A}+18 、 \mathrm{~A}+32 、 \mathrm{~A}+36$ are also prime numbers. What is the value of $\mathrm{A}$?
【Analysis】14 divided by 5 leaves a remainder of 4, 18 divided by 5 leaves a remainder of 3, 32 divided by 5 leaves a remainder of 2, 36 divided by 5 leaves a remainder of 1, so among A, A+14, $\mathrm{A}+18$, $\mathrm{A}+32$, $\mathrm{A}+36$, there must be one that is a multiple of 5, and also a prime number, so it can only be 5, hence $\mathrm{A}$ is 5.