Question

A coin collector has a bag full of coins. You ask the collector how many coins doe he have in his bag, he replied that he did not know, but he said when he tried to put them in the bag two at a time he had one left over at the end, and when he tried to stick them in the bag three at a time he also had one left over at the end. In fact, he said he had one left over then he put them in four, five and six at a time as well. When he stuck them in the seven at a time they all went in the bag evenly. How many coins must the collector have in his bag? The number of coins that the collector has is:

Answer 1

301

Explanation:

The answer is 301 because if I do the prime number theorem, I get 300+1 which is 301.

Hope this helps plz hit the crown:D