First problem:
Good Will Hunting First Maths Problem Fourier System - Good Will Hunting (1997) Movie Clip HD Scene
The On-Line Encyclopedia of Integer Sequences A187734
The Good Will Hunting Problem
Second problem:
Good Will Hunting Scene Math Problem
The On-Line Encyclopedia of Integer Sequences A000014
The problem in Good Will Hunting - Numberphile
How to solve the maths problem from Good Will Hunting
Good Will Hunting Problem (Stanford)
Various mathematicians felt they could work these problems while they appeared on-screen. As math consultant to “A Beautiful Mind” a primary goal was to avoid this fate with my blackboard problem.