Consecutively divides

If NN is divisible by 1,2,3,,131,2,3,\ldots, 13, then NN must also be divisible by 14 and 15.

Using this same idea, what is the smallest integer MM such that the following statement is true?

If NN is divisible by 1,2,3,,M1,2,3,\ldots,M, then NN must also be divisible by M+1,M+2,M+3,M+1,M+2,M+3, and M+4M+4.

×

Problem Loading...

Note Loading...

Set Loading...