When divided by 2 3 4 or 5 there is nothing left over The numbers before you and after you are prime?

The number in question must be a multiple of 2, 3, 4, and 5, which means it must be a multiple of their least common multiple, which is 60. The prime numbers before and after 60 are 59 and 61, respectively. Therefore, the number in question is 60.