Question

Integer ordered pair of $(x,y)$ in complex algebraic equation

score 55 · Answer 1 · 2018-10-29 13:31:25

55

Views

Integer ordered pair of $(x,y)$ in complex algebraic equation

Published on 29 Oct 2018 - 13:31

score 6.8k · Answer 2 · 2026-03-25 07:46:27

6.8k

Views

What is the smallest integer greater than 1 such that $\frac12$ of it is a perfect square and $\frac15$ of it is a perfect fifth power?

Published on 25 Mar 2026 - 7:46

score 117 · Answer 3 · 2026-03-25 17:20:55

117

Views

Primes of the form $p=2a^2-1$ satisfying $p^2=2b^2-1$.

Published on 25 Mar 2026 - 17:20

score 62 · Answer 4 · 2018-10-29 18:34:01

62

Views

A particular Diophantine equation of degree 4 in two variables

Published on 29 Oct 2018 - 18:34

score 108 · Answer 5 · 2018-10-30 13:32:58

108

Views

Relatively prime solutions of the equation $7x^2+59y^2=3^n$

Published on 30 Oct 2018 - 13:32

score 170 · Answer 6 · 2026-03-26 22:17:25

170

Views

No polynomial with integer coefficients satisfies the conditions

Published on 26 Mar 2026 - 22:17

score 363 · Answer 7 · 2018-10-31 11:59:23

363

Views

Show that $a^3 + b^4 + c^5 = d^7$ has infinitely many solutions .

Published on 31 Oct 2018 - 11:59

score 1.2k · Answer 8 · 2018-10-31 17:41:07

1.2k

Views

Show that $x^2 = 7 + 13y^2$ has no integer solutions

Published on 31 Oct 2018 - 17:41

score 89 · Answer 9 · 2018-11-01 00:00:30

89

Views

$\alpha$, and the $2L$ conductor in Serre's proof on $a^p+b^p+L^α c^p=0$

Published on 01 Nov 2018 - 0:00

score 167 · Answer 10 · 2018-11-01 13:51:58

167

Views

Number of positive integral solutions $(x,y)$ of $x^2-y^2=12345678$

Published on 01 Nov 2018 - 13:51

score 62 · Answer 11 · 2026-03-25 10:55:47

62

Views

When given a non-multiple of $3$, $k$, is it possible construct $m<k$ with these conditions?

Published on 25 Mar 2026 - 10:55

score 109 · Answer 12 · 2026-03-25 06:04:21

109

Views

Calculate the number of nonnegative integer solutions of $ax+by\leq c$.

Published on 25 Mar 2026 - 6:04

score 68 · Answer 13 · 2018-11-04 14:01:42

68

Views

Number of solutions in degree four

Published on 04 Nov 2018 - 14:01

score 126 · Answer 14 · 2026-03-25 19:01:29

126

Views

Basic questions about pythagorean triples and "n-lets"

Published on 25 Mar 2026 - 19:01

score 541 · Answer 15 · 2018-11-05 19:46:46

541

Views

Hey, I got the Diophantine equation $3x + 4y = 5$ over $\mathbb{Z}$ numbers

Published on 05 Nov 2018 - 19:46

List Question

Integer ordered pair of $(x,y)$ in complex algebraic equation

What is the smallest integer greater than 1 such that $\frac12$ of it is a perfect square and $\frac15$ of it is a perfect fifth power?

Primes of the form $p=2a^2-1$ satisfying $p^2=2b^2-1$.

A particular Diophantine equation of degree 4 in two variables

Relatively prime solutions of the equation $7x^2+59y^2=3^n$

No polynomial with integer coefficients satisfies the conditions

Show that $a^3 + b^4 + c^5 = d^7$ has infinitely many solutions .

Show that $x^2 = 7 + 13y^2$ has no integer solutions

$\alpha$, and the $2L$ conductor in Serre's proof on $a^p+b^p+L^α c^p=0$

Number of positive integral solutions $(x,y)$ of $x^2-y^2=12345678$

When given a non-multiple of $3$, $k$, is it possible construct $m<k$ with these conditions?

Calculate the number of nonnegative integer solutions of $ax+by\leq c$.

Number of solutions in degree four

Basic questions about pythagorean triples and "n-lets"

Hey, I got the Diophantine equation $3x + 4y = 5$ over $\mathbb{Z}$ numbers

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