The increasing sequence 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?

100= 2^6+2^5+2^2 

Edited on December 9, 2022, 7:40 am

Posted by K Sengupta on 2022-12-09 07:38:40