Putnam Exam Question (April 1st, 2025)
For this meeting, we decided to look at the following question from the Putnam exam held in 2024[PDF Download]:
Determine all positive integers \( n \) for which there exist positive integers \( a \), \( b \), and \( c \) satisfying \[ 2a^{n} + 3b^{n} = 4c^{n}. \]
However, to accomodate our students who may not have the math background to solve such a problem, we worked through the whole solution assuming no formal math background. The following PDF gives a write-up of how this club activity was done.
If there are any students interested in problem solving, they should consider reading the following books:
