List questions from modular-arithmetic

Published on 26 Mar 2026 - 6:19

21

Views

Achieving a polynomial that maps from $GF(p^q)$ to {0,1} with the same probability

Published on 01 Apr 2026 - 9:31

29

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Calculation of a value for number divisible by 11

Published on 01 Apr 2026 - 9:31

677

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If f(n) is congruent to r(mod m), is f(km + n) congruent to r(mod m)?

Published on 03 Sep 2014 - 2:02

181

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What is the remainder when $12^{39} + 14^{39}$ is divided by $676$?

Published on 28 Mar 2026 - 10:04

25

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How do you multiply n[g]_c? That is, multiply an integer by a number mod c.

Published on 04 Sep 2014 - 18:15

59

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Does $x\equiv ay \pmod{p^{2m}}$ always have non-trivial solutions $x,y$ with $\lvert x \rvert,\lvert y \rvert \leq p^m$?

Published on 05 Sep 2014 - 12:27

59

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Higher residuosity problem, but with a known factorization

Published on 04 Sep 2014 - 7:23

10.7k

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Modular Fraction Arithmetic

Published on 06 Sep 2014 - 1:57

219

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Exponents in Modular Arithmetic

Published on 06 Sep 2014 - 14:36

494

Views

Quadratic congruence $x^2+5x \equiv 12 \pmod{31} $

Published on 26 Mar 2026 - 4:31

191

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How to compute this sum?

Published on 08 Sep 2014 - 12:26

63

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Closed form for the sum $\sum_{a=1}^{b} a^3\cdot (b \bmod a)$

Published on 28 Mar 2026 - 15:36

308

Views

Is there a cycle for modulo operation on a floor?

Published on 27 Mar 2026 - 22:03

135

Views

Calculate $85^{2014}\bmod {82}$

Published on 09 Sep 2014 - 16:50

List Question

general form in congruence

Achieving a polynomial that maps from $GF(p^q)$ to {0,1} with the same probability

Calculation of a value for number divisible by 11

If f(n) is congruent to r(mod m), is f(km + n) congruent to r(mod m)?

What is the remainder when $12^{39} + 14^{39}$ is divided by $676$?

How do you multiply n[g]_c? That is, multiply an integer by a number mod c.

Does $x\equiv ay \pmod{p^{2m}}$ always have non-trivial solutions $x,y$ with $\lvert x \rvert,\lvert y \rvert \leq p^m$?

Higher residuosity problem, but with a known factorization

Modular Fraction Arithmetic

Exponents in Modular Arithmetic

Quadratic congruence $x^2+5x \equiv 12 \pmod{31} $

How to compute this sum?

Closed form for the sum $\sum_{a=1}^{b} a^3\cdot (b \bmod a)$

Is there a cycle for modulo operation on a floor?

Calculate $85^{2014}\bmod {82}$

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