2021 JMPSC Invitationals Problems/Problem 15
Revision as of 14:09, 11 July 2021 by Samrocksnature (talk | contribs) (Created page with "==Problem== Abhishek is choosing positive integer factors of <math>2021 \times 2^{2021}</math> with replacement. After a minute passes, he chooses a random factor and writes i...")
Problem
Abhishek is choosing positive integer factors of with replacement. After a minute passes, he chooses a random factor and writes it down. Abhishek repeats this process until the first time the product of all numbers written down is a perfect square. Find the expected number of minutes it takes for him to stop.
Solution
asdf