List questions from modular-arithmetic

52

Views

Prove for non prime $n$ there exists $m \in \mathbb{Z}/n\mathbb{Z} \setminus \{0\}: m^{n-1} \neq 1 \mod n$

Published on 10 May 2026 - 12:35

171

Views

Prove that there exist infintely many primes $p$ with $p\equiv2$ or $-2 \pmod{5}$

Published on 25 Mar 2026 - 6:28

44

Views

Arithmetic of integers, divisibility

Published on 10 May 2026 - 15:44

420

Views

Identity involving binomial coefficients

Published on 10 May 2026 - 19:52

85

Views

Use Euler's Criterion to deduce that $5^{2^{2^{n}-1}}\equiv -1 \space \text{mod} \space p $

Published on 16 Apr 2026 - 1:25

251

Views

Understanding quadratic reciprocity

Published on 10 May 2026 - 11:31

133

Views

Is "$a^p + b^p = c^p + d^p \Rightarrow (a+b) \equiv (c+d) \mod p$" true?

Published on 10 May 2026 - 15:01

160

Views

Fermat's Last Theorem And Modular Arithmetic

Published on 10 May 2026 - 12:30

571

Views

Raising an expression involving modulo operator to a power.

Published on 05 May 2026 - 4:05

74

Views

Compute 189 × 214 (mod 15) by reducing first, then multiplying, then reducing again

Published on 25 Mar 2026 - 6:27

1.3k

Views

Discuss the solution to 5x ≡ 8(mod 10)

Published on 25 Mar 2026 - 6:26

2.4k

Views

Proof: If a ≡ b (mod n) then am ≡ bm (mod mn) and converse

Published on 25 Mar 2026 - 6:29

5.1k

Views

Find all solutions to $x^2$ ≡ 1(mod 8)

Published on 25 Mar 2026 - 6:27

42

Views

Number of solutions for quadratic polynomials in $\mathbb{F}_p$

Published on 10 May 2026 - 17:52

302

Views

Conclude there are infinitely primes with given residue class

Published on 04 May 2026 - 22:50

List Question

Prove for non prime $n$ there exists $m \in \mathbb{Z}/n\mathbb{Z} \setminus \{0\}: m^{n-1} \neq 1 \mod n$

Prove that there exist infintely many primes $p$ with $p\equiv2$ or $-2 \pmod{5}$

Arithmetic of integers, divisibility

Identity involving binomial coefficients

Use Euler's Criterion to deduce that $5^{2^{2^{n}-1}}\equiv -1 \space \text{mod} \space p $

Understanding quadratic reciprocity

Is "$a^p + b^p = c^p + d^p \Rightarrow (a+b) \equiv (c+d) \mod p$" true?

Fermat's Last Theorem And Modular Arithmetic

Raising an expression involving modulo operator to a power.

Compute 189 × 214 (mod 15) by reducing first, then multiplying, then reducing again

Discuss the solution to 5x ≡ 8(mod 10)

Proof: If a ≡ b (mod n) then am ≡ bm (mod mn) and converse

Find all solutions to $x^2$ ≡ 1(mod 8)

Number of solutions for quadratic polynomials in $\mathbb{F}_p$

Conclude there are infinitely primes with given residue class

Trending Questions

Popular # Hahtags

Popular Questions