[VA] SRC #016 - Pi Day 2024 Special

[EdS2]

Bravo, Valentin!

Some remarkable constructions there. I felt compelled to look into them a bit. I share some notes for other interested parties.

For the Fermat-like equations in the 5th appearance, I found the first appears in a 2000 paper by Elkies, but I can't find anything on the second - any pointers?

For the hex digits of pi in the 6th appearance, I found a 2001 paper by Bailey and Crandall with the conjecture that there's never a carry from the tail of the sequence into the current digit. (Found via the OEIS)

For that 7th appearance, I found some hints of the construction behind the approximation in the Wikipedia page on Heegner numbers.