Question

Is there a general formula to compute the number of integer solutions of an equation?

score 114 · Answer 1 · 2026-04-08 23:33:40

114

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Is there a general formula to compute the number of integer solutions of an equation?

Published on 08 Apr 2026 - 23:33

score 91 · Answer 2 · 2026-04-02 20:13:56

91

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Factorize : $(x+y+z)^p-[(-x+y+z)^p+(x-y+z)^p+(x+y-z)^p]$ where $p$ is an odd prime.

Published on 02 Apr 2026 - 20:13

score 3.4k · Answer 3 · 2015-11-02 04:43:45

3.4k

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Find all non-negative integer solutions of $x+y+z=20$

Published on 02 Nov 2015 - 4:43

score 1.5k · Answer 4 · 2015-11-02 11:25:56

1.5k

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Show that $x^3 + y^3 + z^3 = 4$ has no solutions?

Published on 02 Nov 2015 - 11:25

score 86 · Answer 5 · 2015-11-02 18:00:52

86

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Diophantine equation $(n-x-y)^2 = 4xy + 1$

Published on 02 Nov 2015 - 18:00

score 182 · Answer 6 · 2015-11-03 04:54:18

182

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On the fourth power $2^4 + 15045^4 + 26870^4 + 34090^4 = 37239^4$

Published on 03 Nov 2015 - 4:54

score 115 · Answer 7 · 2015-11-03 14:09:00

115

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When is $x^2 + 4y$ a square?

Published on 03 Nov 2015 - 14:09

score 2.5k · Answer 8 · 2015-11-05 00:15:44

2.5k

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Solving a homogeneous quadratic equation in three variables over the integers.

Published on 05 Nov 2015 - 0:15

score 53 · Answer 9 · 2026-04-08 18:33:30

53

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how to solve the following integer equation in three variables?

Published on 08 Apr 2026 - 18:33

score 335 · Answer 10 · 2015-11-06 13:29:45

335

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Solving the cubic-exponential Diophantine equation $x^3+3=2^n$

Published on 06 Nov 2015 - 13:29

score 212 · Answer 11 · 2015-11-06 21:49:31

212

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Determine for what values of $n$ the number $\frac{n+7}{2n+1}$ is an integer

Published on 06 Nov 2015 - 21:49

score 41 · Answer 12 · 2015-11-07 03:18:36

41

Views

Solve $z^3=(sr)^3$ where $r,s,z$ are integers?

Published on 07 Nov 2015 - 3:18

score 178 · Answer 13 · 2026-04-06 18:53:53

178

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$a^3 + b^4 = 19^{19}$

Published on 06 Apr 2026 - 18:53

score 64 · Answer 14 · 2026-04-04 16:48:38

64

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Can the equation $\cfrac{n^2(s-2)-n(s-4)}{2}=2^p-1$ be transformed into an equation of the form $x^2 + D=AB^y$, for fixed $s$, $s \ge 3$

Published on 04 Apr 2026 - 16:48

score 1.5k · Answer 15 · 2015-11-09 03:09:12

1.5k

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Is there a test to determine whether a Diophantine equation has a solution in the positive integers?

Published on 09 Nov 2015 - 3:09

List Question

Is there a general formula to compute the number of integer solutions of an equation?

Factorize : $(x+y+z)^p-[(-x+y+z)^p+(x-y+z)^p+(x+y-z)^p]$ where $p$ is an odd prime.

Find all non-negative integer solutions of $x+y+z=20$

Show that $x^3 + y^3 + z^3 = 4$ has no solutions?

Diophantine equation $(n-x-y)^2 = 4xy + 1$

On the fourth power $2^4 + 15045^4 + 26870^4 + 34090^4 = 37239^4$

When is $x^2 + 4y$ a square?

Solving a homogeneous quadratic equation in three variables over the integers.

how to solve the following integer equation in three variables?

Solving the cubic-exponential Diophantine equation $x^3+3=2^n$

Determine for what values of $n$ the number $\frac{n+7}{2n+1}$ is an integer

Solve $z^3=(sr)^3$ where $r,s,z$ are integers?

$a^3 + b^4 = 19^{19}$

Can the equation $\cfrac{n^2(s-2)-n(s-4)}{2}=2^p-1$ be transformed into an equation of the form $x^2 + D=AB^y$, for fixed $s$, $s \ge 3$

Is there a test to determine whether a Diophantine equation has a solution in the positive integers?

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