Questions tagged [open-problems]

The tag has no usage guidance.

Filter by
Sorted by
Tagged with
2 votes
0 answers

Influence of Edmund Landau's list of four problems

At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime numbers: Goldbach's conjecture, the twin prime conjecture, Legendre's conjecture (that there ...
Timothy Chow's user avatar
  • 1,256
6 votes
3 answers

When did bounties and prize money for open mathematical problems start being a thing?

I'm a science/math journalist [ger] and currently I'm working on an article about the culture of prize money/bounties for solving open mathematical problems (Millennium Prize Problems and such). One ...
j grk's user avatar
  • 61
3 votes
1 answer

Are there any arithmetic problems studied by Euler still open?

Fermat's last theorem, which Euler had studied in the case of certain exponents, was only solved in the 1990s. Also, a counterexample to Euler's sum of powers conjecture has been found quite recently (...
user avatar
7 votes
2 answers

Old unsolved questions in mathematics

John Stillwell, in his textbook on arithmetic cites Erdos: As the great Hungarian problem-solver Paul Erdos liked to point out, if you can think of an open problem that is more than 200 years old, ...
Alexandre Eremenko's user avatar
12 votes
1 answer

Story of a student who solves an open problem

A number of years ago, I read a (non-fiction) story about a young mathematician whose professor wrote an open problem on the board and the student went ahead and wrote down a solution after a moment ...
Favst's user avatar
  • 335
3 votes
1 answer

Origin of the expression "Open problem"

Google Ngram shows that the expression "open problem" started to be in use around the end of the 19th century. My question is then 2-fold: Who coined the expression? Wikipedia doesn't seem ...
Taladris's user avatar
  • 232