Hello, faithful readers (and anyone else out there). I took a much longer break than I intended, but I am finally ready to start blogging again. There has been a problem with my medication for the past three weeks, but it is now corrected and I am feeling better.
Today I worked on some AMC exam problems. The one I found most interesting was:
What is the least value of $n$ such that $n!$ is a multiple of $2024$?
I am pretty sure I know the answer to this, as well as how to answer the analogous question for any natural number. I ended up pursuing a tangent, however, to do with how I would show that 253, one of the prime factors of 2024, is indeed prime. I expect to post more about that in the coming week. Stay tuned.
(Note on 22 November: It turns out 253 is not prime. Oops.)
Totally wonderful to see you again; fun problem; staying tuned.
Thank you for the welcome back.
Welcome back!
Thank you. 🙂