MathDB
2023 LMT Spring Accuracy Problem 3

Source:

September 29, 2023
number theory

Problem Statement

Phoenix is counting positive integers starting from 11. When he counts a perfect square greater than 11, he restarts at 11, skipping that square the next time. For example, the first 1010 numbers Phoenix counts are 11, 22, 33, 44, 11, 22, 33, 55, 66, 77, ...... How many numbers will Phoenix have counted after counting 10000 for the first time?