Question

How to find a periodic sequence of alternating ODD and EVEN numbers

score 184 · Answer 1 · 2026-05-07 17:20:15

184

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How to find a periodic sequence of alternating ODD and EVEN numbers

Published on 07 May 2026 - 17:20

score 169 · Answer 2 · 2026-04-29 12:19:14

169

Views

How to compute $\left(\frac{n-1}{2}\right)!\pmod{n}$ fast?

Published on 29 Apr 2026 - 12:19

score 169 · Answer 3 · 2026-04-29 12:46:46

169

Views

Show that $a \equiv \pm 3\pmod 8$ is $a^2 \equiv 9 \pmod {16}$.

Published on 29 Apr 2026 - 12:46

score 3.9k · Answer 4 · 2026-04-29 12:46:39

3.9k

Views

Divisibility rules based on modulo arithmetic.

Published on 29 Apr 2026 - 12:46

score 729 · Answer 5 · 2026-04-29 12:46:33

729

Views

Show that for all odd integers: $a^{2^n} \equiv 1 \pmod {2^{n+2}}$

Published on 29 Apr 2026 - 12:46

score 222 · Answer 6 · 2026-05-07 13:17:59

222

Views

sequence of remainders modulo 2?

Published on 07 May 2026 - 13:17

score 82 · Answer 7 · 2026-04-29 12:46:36

82

Views

Check if set: $\{0, 1, 2, 2^2, ..., 2^{15} \pmod {17}\}$ forms a complete set of residues.

Published on 29 Apr 2026 - 12:46

score 128 · Answer 8 · 2026-04-29 12:08:05

128

Views

A congruence involving Mersenne numbers

Published on 29 Apr 2026 - 12:08

score 39 · Answer 9 · 2026-04-11 22:33:40

39

Views

Fastest approach for solving a modulo equation

Published on 11 Apr 2026 - 22:33

score 649 · Answer 10 · 2026-05-07 07:36:37

649

Views

Which of the following values are needed for $5^{166} \mod 41$ using fast exponentiation.

Published on 07 May 2026 - 7:36

score 1k · Answer 11 · 2026-04-29 12:46:38

1k

Views

Solve $15\cdot x=27\pmod{18}$

Published on 29 Apr 2026 - 12:46

score 131 · Answer 12 · 2026-05-07 19:33:19

131

Views

What is the distribution of the modular inverse of a uniformly random element in $\mathrm{Z}_{n}\setminus\{0\}$

Published on 07 May 2026 - 19:33

score 120 · Answer 13 · 2026-05-07 07:14:36

120

Views

Find $k,l$ given $x = 25 + 38k = 59 +69l, \exists k,l \in \mathbb{Z+}$

Published on 07 May 2026 - 7:14

score 67 · Answer 14 · 2026-05-07 17:26:34

67

Views

Shortcut for solving $165x \equiv 100 \pmod{285}$

Published on 07 May 2026 - 17:26

score 53 · Answer 15 · 2026-05-07 10:19:50

53

Views

What is more logical, if given $a \equiv b \pmod n$; $b = a +nq$, or : $a =b +nq$

Published on 07 May 2026 - 10:19

List Question

How to find a periodic sequence of alternating ODD and EVEN numbers

How to compute $\left(\frac{n-1}{2}\right)!\pmod{n}$ fast?

Show that $a \equiv \pm 3\pmod 8$ is $a^2 \equiv 9 \pmod {16}$.

Divisibility rules based on modulo arithmetic.

Show that for all odd integers: $a^{2^n} \equiv 1 \pmod {2^{n+2}}$

sequence of remainders modulo 2?

Check if set: $\{0, 1, 2, 2^2, ..., 2^{15} \pmod {17}\}$ forms a complete set of residues.

A congruence involving Mersenne numbers

Fastest approach for solving a modulo equation

Which of the following values are needed for $5^{166} \mod 41$ using fast exponentiation.

Solve $15\cdot x=27\pmod{18}$

What is the distribution of the modular inverse of a uniformly random element in $\mathrm{Z}_{n}\setminus\{0\}$

Find $k,l$ given $x = 25 + 38k = 59 +69l, \exists k,l \in \mathbb{Z+}$

Shortcut for solving $165x \equiv 100 \pmod{285}$

What is more logical, if given $a \equiv b \pmod n$; $b = a +nq$, or : $a =b +nq$

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