A set of all positive integers satisfies the property that when 1020, 1510 and 2415 are divided by any number in this set, at least one of the remainders is zero. What is the total number of elements in this set?

Question

anonymous · Answer

sorry its 10^20,15^10,24^15

zzr0ck3r · Answer

it seems to me that there would be infinite elements
we have the set $$A=\{a_0,a_1,......a^n\}$$
we are saying that the set contains elements with the property that they are positive integers and that either 1020,1510, or 2415 divides each element evenly 
$$\{1020^1,1020^2,.....1020^n\}$$

zzr0ck3r · Answer

maybe I am reading the problem wrong...

anonymous · Answer

yes