Question

Divisibility of $x^2+y^2$ by prime $p$

score 120 · Answer 1 · 2026-03-28 02:04:47

120

Views

Divisibility of $x^2+y^2$ by prime $p$

Published on 28 Mar 2026 - 2:04

score 43 · Answer 2 · 2019-04-19 00:31:49

43

Views

Finding such that $xyz \equiv k \pmod{n}$, where $k, n$ are known?

Published on 19 Apr 2019 - 0:31

score 64 · Answer 3 · 2019-04-19 06:02:49

64

Views

Proving irrationality of $\sqrt n$ if n is congruent to 3, 5, 6 mod 7

Published on 19 Apr 2019 - 6:02

score 95 · Answer 4 · 2019-04-19 14:31:30

95

Views

What is the remainder when $2^{2016}+ 1009^{2016}$ is divided by $2019$?

Published on 19 Apr 2019 - 14:31

score 143 · Answer 5 · 2019-04-19 14:34:50

143

Views

Why is $x = 25n + 9$ in the equation: $3=(3388997632 x^{23}) \text{ mod } 25$?

Published on 19 Apr 2019 - 14:34

score 82 · Answer 6 · 2026-03-25 23:39:34

82

Views

Do there exist (non-trivial) prime solutions to the equations $p^2 = 1$ mod $q$, $q = 1$ mod $p$?

Published on 25 Mar 2026 - 23:39

score 37 · Answer 7 · 2019-04-20 12:13:45

37

Views

Prove the modulo 12 pattern of $400*k^2 + 100k + 3$

Published on 20 Apr 2019 - 12:13

score 332 · Answer 8 · 2019-04-21 21:48:18

332

Views

Computing the order of $[9]_{31}$ in $(\mathbb{Z}/31\mathbb{Z})^*$

Published on 21 Apr 2019 - 21:48

score 214 · Answer 9 · 2019-04-21 23:04:03

214

Views

Show that $x^2 - 79y^2 = \pm 3$ has no solutions in $\Bbb Z$

Published on 21 Apr 2019 - 23:04

score 159 · Answer 10 · 2019-04-22 02:13:50

159

Views

Is it true that $a^k\equiv a^\ell \mod n$?

Published on 22 Apr 2019 - 2:13

score 76 · Answer 11 · 2019-04-22 13:38:27

76

Views

If $p=4k+3$ is prime then exist $x$, $y\in\mathbb{Z}$ such that $p| (x^2+y^2+1)$

Published on 22 Apr 2019 - 13:38

score 52 · Answer 12 · 2019-04-22 18:49:04

52

Views

How can I calculate $x=y^{\frac{1}z} \pmod n$?

Published on 22 Apr 2019 - 18:49

score 145 · Answer 13 · 2026-03-27 00:06:32

145

Views

What is the answer to $17^{16} \pmod {10}$? Is it equal to $ 9 $ or $1$

Published on 27 Mar 2026 - 0:06

score 111 · Answer 14 · 2026-03-26 06:05:27

111

Views

Should you use Euler's generalization of fermat's little theorem for primality testing?

Published on 26 Mar 2026 - 6:05

score 220 · Answer 15 · 2019-04-23 15:06:03

220

Views

$11x + 13 \equiv 4$ (mod 37)

Published on 23 Apr 2019 - 15:06

List Question

Divisibility of $x^2+y^2$ by prime $p$

Finding such that $xyz \equiv k \pmod{n}$, where $k, n$ are known?

Proving irrationality of $\sqrt n$ if n is congruent to 3, 5, 6 mod 7

What is the remainder when $2^{2016}+ 1009^{2016}$ is divided by $2019$?

Why is $x = 25n + 9$ in the equation: $3=(3388997632 x^{23}) \text{ mod } 25$?

Do there exist (non-trivial) prime solutions to the equations $p^2 = 1$ mod $q$, $q = 1$ mod $p$?

Prove the modulo 12 pattern of $400*k^2 + 100k + 3$

Computing the order of $[9]_{31}$ in $(\mathbb{Z}/31\mathbb{Z})^*$

Show that $x^2 - 79y^2 = \pm 3$ has no solutions in $\Bbb Z$

Is it true that $a^k\equiv a^\ell \mod n$?

If $p=4k+3$ is prime then exist $x$, $y\in\mathbb{Z}$ such that $p| (x^2+y^2+1)$

How can I calculate $x=y^{\frac{1}z} \pmod n$?

What is the answer to $17^{16} \pmod {10}$? Is it equal to $ 9 $ or $1$

Should you use Euler's generalization of fermat's little theorem for primality testing?

$11x + 13 \equiv 4$ (mod 37)

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