Question

Trouble forming general solution for linear congruence

score 86 · Answer 1 · 2026-03-29 14:18:24

86

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Trouble forming general solution for linear congruence

Published on 29 Mar 2026 - 14:18

score 360 · Answer 2 · 2015-04-30 07:19:37

360

Views

$2^x+7^y=19^z$ has no solution in positive integers $x$, $y$, $z$

Published on 30 Apr 2015 - 7:19

score 255 · Answer 3 · 2015-05-02 08:22:32

255

Views

Only finitely many $a, b$ such that $2+3^n+5^{n^2}=2^a7^b$ for some $n$?

Published on 02 May 2015 - 8:22

score 312 · Answer 4 · 2015-05-02 11:16:20

312

Views

Split 16 Consecutive Integers into Two Subsets of 8 Integers

Published on 02 May 2015 - 11:16

score 479 · Answer 5 · 2015-05-02 14:22:29

479

Views

Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.

Published on 02 May 2015 - 14:22

score 61 · Answer 6 · 2015-05-02 14:55:20

61

Views

Exponential diophantine equation

Published on 02 May 2015 - 14:55

score 312 · Answer 7 · 2015-05-05 03:46:27

312

Views

Solve in positive integers: $5x^2+6x^3=z^3$

Published on 05 May 2015 - 3:46

score 194 · Answer 8 · 2015-05-05 17:50:06

194

Views

Find a non-trivial solution for the Diophantine Equation $17a^4 + 5b^4 = 35c^4$, or show that no non-trivial solutions exist

Published on 05 May 2015 - 17:50

score 365 · Answer 9 · 2015-05-05 20:27:41

365

Views

prove that the number of solutions is finite

Published on 05 May 2015 - 20:27

score 72 · Answer 10 · 2015-05-06 05:49:49

72

Views

Solvability of $a_{1}^{2} = a_{2}^{n} + a_{3}^{n} + a_{4}^{n}$ when $n \geq 5$ is prime?

Published on 06 May 2015 - 5:49

score 1.9k · Answer 11 · 2015-05-06 20:12:29

1.9k

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Solving the equation in natural numbers

Published on 06 May 2015 - 20:12

score 1.7k · Answer 12 · 2026-03-31 19:15:01

1.7k

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Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.

Published on 31 Mar 2026 - 19:15

score 299 · Answer 13 · 2015-05-07 04:58:16

299

Views

Congruence properties of $x_1^6+x_2^6+x_3^6+x_4^6+x_5^6 = z^6$?

Published on 07 May 2015 - 4:58

score 67 · Answer 14 · 2015-05-07 08:00:43

67

Views

Solvability of the equation $2a_{1}^{2} = a_{2}^{n} + a_{3}^{n} + a_{4}^{n}$ when $n \geq 5$ is prime?

Published on 07 May 2015 - 8:00

score 58 · Answer 15 · 2015-05-08 04:33:53

58

Views

Diophantine eqution with odd prime

Published on 08 May 2015 - 4:33

List Question

Trouble forming general solution for linear congruence

$2^x+7^y=19^z$ has no solution in positive integers $x$, $y$, $z$

Only finitely many $a, b$ such that $2+3^n+5^{n^2}=2^a7^b$ for some $n$?

Split 16 Consecutive Integers into Two Subsets of 8 Integers

Show that there are exactly 16 pairs of integers $(x,y)$ such that $11x+8y+17=xy$.

Exponential diophantine equation

Solve in positive integers: $5x^2+6x^3=z^3$

Find a non-trivial solution for the Diophantine Equation $17a^4 + 5b^4 = 35c^4$, or show that no non-trivial solutions exist

prove that the number of solutions is finite

Solvability of $a_{1}^{2} = a_{2}^{n} + a_{3}^{n} + a_{4}^{n}$ when $n \geq 5$ is prime?

Solving the equation in natural numbers

Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.

Congruence properties of $x_1^6+x_2^6+x_3^6+x_4^6+x_5^6 = z^6$?

Solvability of the equation $2a_{1}^{2} = a_{2}^{n} + a_{3}^{n} + a_{4}^{n}$ when $n \geq 5$ is prime?

Diophantine eqution with odd prime

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