Question

Showing that $f(x) = 4x^2 - 3x^7$ is a pemutation in $\mathbb{Z}_{11}$ and factoring it as a product of disjoint cycles

score 159 · Answer 1 · 2026-04-13 20:39:14

159

Views

Showing that $f(x) = 4x^2 - 3x^7$ is a pemutation in $\mathbb{Z}_{11}$ and factoring it as a product of disjoint cycles

Published on 13 Apr 2026 - 20:39

score 409 · Answer 2 · 2026-04-14 22:52:50

Prove that for any n, $[k]_n$ is invertible in the ring $\mathbb{Z}_n$ if and only if $n$ and $k$ are relatively prime.

score 226 · Answer 3 · 2026-04-12 06:40:32

226

Views

Inductive proof for Fermat's little theorem.

Published on 12 Apr 2026 - 6:40

score 56 · Answer 4 · 2026-04-10 03:25:43

56

Views

Necessity of coprimeness in Carmichael numbers

Published on 10 Apr 2026 - 3:25

score 37 · Answer 5 · 2026-04-09 01:57:16

37

Views

Modular arithmetic of really big numbers

Published on 09 Apr 2026 - 1:57

score 85 · Answer 6 · 2026-04-16 00:57:06

85

Views

Relation between Expanding Circle Map $x\mapsto Nx \ \operatorname{mod} \ 1$ and the Metric $d(x,y) = \inf_{k\in\mathbb{Z}}|x-y+k|$ on $[0,1[$.

Published on 16 Apr 2026 - 0:57

score 172 · Answer 7 · 2026-04-14 13:26:44

172

Views

Predict Tens Digit in Multiplication Table. $7*8 =$ predict $5$ for tens. Rule for finding the pattern + Easy-Guess Trick for kindergarten kids.

Published on 14 Apr 2026 - 13:26

score 31 · Answer 8 · 2026-04-14 12:22:15

31

Views

what is and how can i calculate this congruence? $5^{625} \equiv x \pmod{41}$

Published on 14 Apr 2026 - 12:22

score 512 · Answer 9 · 2026-04-12 12:58:28

512

Views

Hackerrank: Save the Prisoner

Published on 12 Apr 2026 - 12:58

score 39 · Answer 10 · 2026-04-15 22:06:30

39

Views

Modular inverse: why am I allowed to use the formula :$a^{-1}\mod p \equiv a^{p-2}\mod p$

Published on 15 Apr 2026 - 22:06

score 400 · Answer 11 · 2026-03-25 16:08:27

400

Views

If $(p^2-1)/8$ is an odd number and $p$ is prime odd number what is $p\pmod8$?

Published on 25 Mar 2026 - 16:08

score 98 · Answer 12 · 2026-04-11 13:46:50

98

Views

How can I find inverse of something in modular arithmetic?

Published on 11 Apr 2026 - 13:46

score 124 · Answer 13 · 2026-04-14 05:03:47

124

Views

Why am I getting the wrong result with the Lucas Lehmer Riesel Test?

Published on 14 Apr 2026 - 5:03

score 157 · Answer 14 · 2026-04-15 16:28:10

157

Views

The sequence defined by $a_1=c$ and $a_{i+1}=c^{a_i}$ is eventually constant modulo a positive integer $n$.

Published on 15 Apr 2026 - 16:28

score 133 · Answer 15 · 2026-04-17 00:47:28

133

Views

Solving $x^3+y^3+z^3= 2014^{2012}$ over the integers.

Published on 17 Apr 2026 - 0:47

List Question

Showing that $f(x) = 4x^2 - 3x^7$ is a pemutation in $\mathbb{Z}_{11}$ and factoring it as a product of disjoint cycles

Prove that for any n, $[k]_n$ is invertible in the ring $\mathbb{Z}_n$ if and only if $n$ and $k$ are relatively prime.

Inductive proof for Fermat's little theorem.

Necessity of coprimeness in Carmichael numbers

Modular arithmetic of really big numbers

Relation between Expanding Circle Map $x\mapsto Nx \ \operatorname{mod} \ 1$ and the Metric $d(x,y) = \inf_{k\in\mathbb{Z}}|x-y+k|$ on $[0,1[$.

Predict Tens Digit in Multiplication Table. $7*8 =$ predict $5$ for tens. Rule for finding the pattern + Easy-Guess Trick for kindergarten kids.

what is and how can i calculate this congruence? $5^{625} \equiv x \pmod{41}$

Hackerrank: Save the Prisoner

Modular inverse: why am I allowed to use the formula :$a^{-1}\mod p \equiv a^{p-2}\mod p$

If $(p^2-1)/8$ is an odd number and $p$ is prime odd number what is $p\pmod8$?

How can I find inverse of something in modular arithmetic?

Why am I getting the wrong result with the Lucas Lehmer Riesel Test?

The sequence defined by $a_1=c$ and $a_{i+1}=c^{a_i}$ is eventually constant modulo a positive integer $n$.

Solving $x^3+y^3+z^3= 2014^{2012}$ over the integers.

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