24

Answers
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54
Not especially famous, long-open problems which anyone can understand (4)
29
Fundamental problems whose solution seems completely out of reach (3)
9
Request for the proof of a result from Ramanujan’s letter to Hardy.
9
Counterexamples in Algebra?
8
A good book of functional analysis
7
Old books still used
5
What’s the “best” proof of quadratic reciprocity?
3
math circles video lectures for school children?
3
Examples of interesting false proofs
3
What are your favorite instructional counterexamples?
3
Examples of common false beliefs in mathematics.
3
Blackbox Theorems
2
Elementary+Short+Useful (2)
2
Examples of conjectures that were widely believed to be true but later proved false
2
Favorite popular math book
2
Is Galois theory necessary (in a basic graduate algebra course)?
1
Are there locally compact groups which have no compact open subgroups and no discrete infinite cyclic subgroups?
1
Good books on problem solving / math olympiad
1
Suggestions for a good Measure Theory book
1
An example of a beautiful proof that would be accessible at the high school level?
1
The Ramanujan Problems.
1
A properties about expoential integral, 5.1.11 in Abramowitz and Stegun
1
Interesting mathematical documentaries
0
(Preferably rare) Audio/Video recordings of famous mathematicians? (3)