paul Monsky

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nt.number-theory

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Answers

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111

Have any long-suspected irrational numbers turned out to be rational?

Jul 22, 2010

91

Tweetable Mathematics

Apr 26, 2017

42

An example of a beautiful proof that would be accessible at the high school level?

Sep 9, 2011

33

Not especially famous, long-open problems which anyone can understand

Jul 2, 2012

28

Is there an elementary way to find the integer solutions to $x^2-y^3=1$?

May 27, 2011

Questions

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22

Writing $3p$ when $p \equiv 1 \pmod{3}$ as a sum of two rational cubes. Is this result new? And what about its converse?

Jun 28, 2023

19

Does this variant of a theorem of Hasse (really due to Gauss) have an "elementary" proof?

Sep 3, 2012

17

Higher level analogs of Nicolas-Serre theory

Jul 6, 2013

17

If p is a prime congruent to 9 mod 16, can 4 divide the class number of Q(p^(1/4))?

Jul 28, 2010

14

The "Level N modular equation for delta" in characteristics 3, 5, 7 and 13

Jan 6, 2014

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nt.number-theory

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diophantine-equations

44

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modular-forms

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algebraic-number-theory

34

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co.combinatorics

32

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+10

the simple group PSL(2,q)

+10

Possible extensions of a conjecture (perhaps now a theorem) proposed by Sylvester

+10

Possible extensions of a conjecture (perhaps now a theorem) proposed by Sylvester

+10

For which primes $p$ in $\mathbb Z$ is $p\omega$ the sum of two cubes in $\mathbb Q(\omega)$?

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