Questions tagged [open-problems]

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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
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3 answers
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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 ...
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3 votes
1 answer
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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 (...
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2 answers
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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
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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
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3 votes
1 answer
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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 ...
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