Question

Properties of three terms of a geometric series

score 171 · Answer 1 · 2026-03-26 21:27:40

171

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Properties of three terms of a geometric series

Published on 26 Mar 2026 - 21:27

score 1k · Answer 2 · 2020-03-12 04:40:56

1k

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For how many integers $n$ is $n^6+n^4+1$ a perfect square?

Published on 12 Mar 2020 - 4:40

score 278 · Answer 3 · 2020-03-12 18:59:23

278

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Integer Solution to $x^3+y^2=z^2$

Published on 12 Mar 2020 - 18:59

score 784 · Answer 4 · 2026-04-01 15:54:04

784

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How many integer solutions are there for the equation $c_1 + c_2 + c_3 + c_4 = 25$, where $c_i \ge 0$ for all $1 \le i \le 4$

Published on 01 Apr 2026 - 15:54

score 219 · Answer 5 · 2020-03-13 14:29:57

219

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System of quadratic Diophantine equations $x^2-xy+y^2=a^2$,$x^2-xz+z^2=b^2$,$y^2-yz+z^2=c^2$

Published on 13 Mar 2020 - 14:29

score 55 · Answer 6 · 2020-03-13 23:44:06

55

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Finding solutions to a diophantine equation

Published on 13 Mar 2020 - 23:44

score 120 · Answer 7 · 2020-03-14 05:36:43

120

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Integer solutions to $x^3 + 3x^2y - 3xy^2 - 3y^3 = 1$

Published on 14 Mar 2020 - 5:36

score 85 · Answer 8 · 2020-03-14 08:27:55

prove or disprove that the integer solutions to equation $x^2-2xy+y^2-x+y+1=x^3-2y^3$ are only ( x=1, y=0) and (x=-2, y=3).

score 83 · Answer 9 · 2020-03-14 11:34:43

83

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Diophantine equations of three variables

Published on 14 Mar 2020 - 11:34

score 194 · Answer 10 · 2020-03-14 14:06:45

194

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$N=\underbrace{111 . . . 1}_{n\space times}\space\underbrace{222 . . . 2}_{n+1\space times}\space5$ is always a square?.

Published on 14 Mar 2020 - 14:06

score 149 · Answer 11 · 2020-03-18 06:47:04

149

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Integer solutions to the equation $7x^2 = y^2+y+1$

Published on 18 Mar 2020 - 6:47

score 144 · Answer 12 · 2020-03-19 20:41:05

144

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What are the number of ordered m-tuples of integers,such that sum of square of elements is a given integer?

Published on 19 Mar 2020 - 20:41

score 364 · Answer 13 · 2026-03-26 19:00:44

364

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Find all positive integer $a,b,c$ that $a^3+b^3+c^3$ can be divided by $a^2b,b^2c,c^2a$

Published on 26 Mar 2026 - 19:00

score 90 · Answer 14 · 2020-03-20 13:27:31

90

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Question regarding the resolution of a quadratic Pell-like diophantine equation

Published on 20 Mar 2020 - 13:27

score 98 · Answer 15 · 2020-03-20 18:52:42

98

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Find the sum of all positive integers $k$ for which $5x^2-2kx+1<0$ has exactly one integral solution.

Published on 20 Mar 2020 - 18:52

List Question

Properties of three terms of a geometric series

For how many integers $n$ is $n^6+n^4+1$ a perfect square?

Integer Solution to $x^3+y^2=z^2$

How many integer solutions are there for the equation $c_1 + c_2 + c_3 + c_4 = 25$, where $c_i \ge 0$ for all $1 \le i \le 4$

System of quadratic Diophantine equations $x^2-xy+y^2=a^2$,$x^2-xz+z^2=b^2$,$y^2-yz+z^2=c^2$

Finding solutions to a diophantine equation

Integer solutions to $x^3 + 3x^2y - 3xy^2 - 3y^3 = 1$

prove or disprove that the integer solutions to equation $x^2-2xy+y^2-x+y+1=x^3-2y^3$ are only ( x=1, y=0) and (x=-2, y=3).

Diophantine equations of three variables

$N=\underbrace{111 . . . 1}_{n\space times}\space\underbrace{222 . . . 2}_{n+1\space times}\space5$ is always a square?.

Integer solutions to the equation $7x^2 = y^2+y+1$

What are the number of ordered m-tuples of integers,such that sum of square of elements is a given integer?

Find all positive integer $a,b,c$ that $a^3+b^3+c^3$ can be divided by $a^2b,b^2c,c^2a$

Question regarding the resolution of a quadratic Pell-like diophantine equation

Find the sum of all positive integers $k$ for which $5x^2-2kx+1<0$ has exactly one integral solution.

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