MathDB

The MIG is planning a lottery to give out prizes after the written tests, and the plan is very special. Contestants will be divided into prize groups in order to potentially receive a prize. However, based on the number of contestants, the ideal number of groups don't work. For example, when dividing into

4

groups, there are

3

left over. When dividing into

5

groups, there's

2

left over. When dividing into

6

groups, theres

1

left over. Finally, when dividing into

7

groups, there are

2

left over. With the knowledge that there are less than

300

participants in the MIG, how many participants are there?

Problem Statement