**1, 5, 6, 25, 26, 30, 31, 125, 126,**… consists of all positive integers that can be formed by summing up distinct powers of 5 - from 1 to N presented in increasing order.

That is, 1 = 5^0, 5 = 5^1, 6 = 5^0 + 5^1, etc, etc.

What’s the 100th integer in this sequence?