Question

$x \equiv b^u\pmod m$ is a solution of given congruent relation

score 40 · Answer 1 · 2026-04-16 08:02:25

40

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$x \equiv b^u\pmod m$ is a solution of given congruent relation

Published on 16 Apr 2026 - 8:02

score 217 · Answer 2 · 2026-04-10 12:08:17

217

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Solutions of Diophantic Equation

Published on 10 Apr 2026 - 12:08

score 94 · Answer 3 · 2026-04-10 07:01:46

94

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Number theory problem assignment

Published on 10 Apr 2026 - 7:01

score 1.2k · Answer 4 · 2026-04-11 18:42:17

1.2k

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Tricky positive diophantine equation

Published on 11 Apr 2026 - 18:42

score 292 · Answer 5 · 2026-04-14 22:50:58

292

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For each of the following values of ($a,b$), find the largest number that is not of the form $ax+by$ with $x\geq 0$ and $y \geq 0$.

Published on 14 Apr 2026 - 22:50

score 2.7k · Answer 6 · 2026-04-14 08:34:12

2.7k

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Diophantine Equation (2014 AMC 12A)

Published on 14 Apr 2026 - 8:34

score 1.3k · Answer 7 · 2026-04-15 04:44:44

1.3k

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The number of ordered triples $(a, b, c)$ of positive integers which satisfy the simultaneous equations $ab + bc = 44$, $ac + bc = 33$

Published on 15 Apr 2026 - 4:44

score 39 · Answer 8 · 2026-04-14 01:06:21

39

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Particular case of the n-degree equation.

Published on 14 Apr 2026 - 1:06

score 222 · Answer 9 · 2026-03-29 04:44:02

222

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Diophantine equation $3^{m}x+3^{m}-3^{m-i} 2^{i} +3^{m-i} 2^{i+s} -2^{m+s}=x 2^{m+s}$

Published on 29 Mar 2026 - 4:44

score 414 · Answer 10 · 2026-04-13 20:44:30

414

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Does $b^2 = 4a + 2$ have integer solutions?

Published on 13 Apr 2026 - 20:44

score 819 · Answer 11 · 2026-04-15 21:54:38

819

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A cubic Diophantine equation in two variables: $x^3+2x+1=y^2$

Published on 15 Apr 2026 - 21:54

score 190 · Answer 12 · 2026-04-15 17:39:35

190

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Do there exist 4 rationals satisfying $a^2+b^2+c^2+d^2=1$ and $2a+b+c+d=0$?

Published on 15 Apr 2026 - 17:39

score 387 · Answer 13 · 2026-03-29 08:20:58

387

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Divisibility of $2^n - 1$ by $2^{m+n} - 3^m$.

Published on 29 Mar 2026 - 8:20

score 1.4k · Answer 14 · 2026-04-13 14:00:03

1.4k

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How to find the sum of positive integers $x$ and $y$, given that $ \sqrt x + \sqrt y = \sqrt {135} $?

Published on 13 Apr 2026 - 14:00

score 421 · Answer 15 · 2026-04-16 17:23:18

421

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Find all integer solutions

Published on 16 Apr 2026 - 17:23

List Question

$x \equiv b^u\pmod m$ is a solution of given congruent relation

Solutions of Diophantic Equation

Number theory problem assignment

Tricky positive diophantine equation

For each of the following values of ($a,b$), find the largest number that is not of the form $ax+by$ with $x\geq 0$ and $y \geq 0$.

Diophantine Equation (2014 AMC 12A)

The number of ordered triples $(a, b, c)$ of positive integers which satisfy the simultaneous equations $ab + bc = 44$, $ac + bc = 33$

Particular case of the n-degree equation.

Diophantine equation $3^{m}x+3^{m}-3^{m-i} 2^{i} +3^{m-i} 2^{i+s} -2^{m+s}=x 2^{m+s}$

Does $b^2 = 4a + 2$ have integer solutions?

A cubic Diophantine equation in two variables: $x^3+2x+1=y^2$

Do there exist 4 rationals satisfying $a^2+b^2+c^2+d^2=1$ and $2a+b+c+d=0$?

Divisibility of $2^n - 1$ by $2^{m+n} - 3^m$.

How to find the sum of positive integers $x$ and $y$, given that $ \sqrt x + \sqrt y = \sqrt {135} $?

Find all integer solutions

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