Problem 46 is about one of Goldbachs' conjectures that turns out to be false.

The original Goldbach conjecture is an interesting problem. Following Wikipedia's example, I tried creating a graph that shows the number of ways to represent even integers as the sum of two primes (the number of "Goldbach partitions"). From the small dataset, it looks like the number of Goldbach partitions increases with integer size, and moreover there is some periodicity to the number of partitions. But of course, such observations are meaningless in the context of mathematical proofs.