Question

Show there exist integers $a$ and $b$ such that $a^2+b^2\equiv -1\mod p$

score 945 · Answer 1 · 2026-04-15 19:32:48

945

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Show there exist integers $a$ and $b$ such that $a^2+b^2\equiv -1\mod p$

Published on 15 Apr 2026 - 19:32

score 43 · Answer 2 · 2026-04-11 10:26:22

43

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How to find the following number using modular arithmetic

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score 85 · Answer 3 · 2026-04-12 12:17:53

85

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Please help me understand why the modulus works this way.

Published on 12 Apr 2026 - 12:17

score 42 · Answer 4 · 2026-04-17 02:12:56

42

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Which of the numbers 0,1,2, ..., 60 is 10 ^ {60 \ cdot 2 ^ {100} +2} congruent with modulo 61?

Published on 17 Apr 2026 - 2:12

score 166 · Answer 5 · 2026-04-16 01:08:59

166

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Fastest way to solve $x^3\equiv x \pmod{105}$

Published on 16 Apr 2026 - 1:08

score 52 · Answer 6 · 2026-04-16 21:31:06

52

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Why is $(1+80)^t\equiv 1+80t \pmod{25}$ correct?

Published on 16 Apr 2026 - 21:31

score 1.2k · Answer 7 · 2026-04-13 04:37:18

1.2k

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CRT solvability for congruence systems of fraction form $\ a_i x\equiv b_i\pmod{\!m_i}$

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score 104 · Answer 8 · 2026-04-15 04:46:40

104

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Prove that there are no integers $x$ and $y$ such that $x^2 = 5y + 2$

Published on 15 Apr 2026 - 4:46

score 34 · Answer 9 · 2026-04-17 04:39:42

34

Views

Sequence to N has the same condition holding in the binary format regardless of how many times we subdivide the sequence

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score 96 · Answer 10 · 2026-04-13 14:49:58

96

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Published on 13 Apr 2026 - 14:49

score 423 · Answer 11 · 2026-04-12 06:50:06

423

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score 314 · Answer 12 · 2026-04-12 01:37:31

314

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score 171 · Answer 13 · 2026-04-15 07:50:03

171

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score 238 · Answer 14 · 2026-04-09 13:37:22

238

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Published on 09 Apr 2026 - 13:37

score 49 · Answer 15 · 2026-04-15 09:03:08

49

Views

Mod arithmetic and divisibility

Published on 15 Apr 2026 - 9:03

List Question

Show there exist integers $a$ and $b$ such that $a^2+b^2\equiv -1\mod p$

How to find the following number using modular arithmetic

Please help me understand why the modulus works this way.

Which of the numbers 0,1,2, ..., 60 is 10 ^ {60 \ cdot 2 ^ {100} +2} congruent with modulo 61?

Fastest way to solve $x^3\equiv x \pmod{105}$

Why is $(1+80)^t\equiv 1+80t \pmod{25}$ correct?

CRT solvability for congruence systems of fraction form $\ a_i x\equiv b_i\pmod{\!m_i}$

Prove that there are no integers $x$ and $y$ such that $x^2 = 5y + 2$

Sequence to N has the same condition holding in the binary format regardless of how many times we subdivide the sequence

Can someone please help me out with this modular arithmetic problem?

Algorithm for computing div and mod

how to solve a cubic congruence

System of congruences where $\gcd(m, n)\ne1$

Is there an "easy" formula for calculating the species and quality of the musical interval between two notes?

Mod arithmetic and divisibility

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