List questions from congruences

Published on 10 May 2026 - 8:36

75

Views

Do we not have to follow Euclidean division strictly when doing modulo operations?

Published on 15 Apr 2026 - 0:08

38

Views

Verifying that $11^{λ(m)+1} ≡ 11 \pmod m$ for $m = 41 \cdot 11$

Published on 17 Apr 2026 - 8:30

166

Views

Solving for $3^x - 1 = 2^y$

Published on 16 Apr 2026 - 15:48

1.3k

Views

Finding the remainder of $49!$ when divided by $53$

Published on 13 Apr 2026 - 9:52

183

Views

Fermat's Little Theorem not useful as $p\rightarrow\infty$

Published on 13 Apr 2026 - 0:25

64

Views

Doubt concerning Fermat's little theorem with a nonprime number

Published on 15 Apr 2026 - 5:02

50

Views

Solving for $5^a+1 = 2\cdot3^b$ beyond $5+1=6$

Published on 17 Apr 2026 - 7:59

443

Views

Solve $33x≡9$ (mod 29)

Published on 11 May 2026 - 0:12

497

Views

Is there an integer $y>0$ such that for all $x>y$, at least $4$ of $x+1, x+2, x+3, x+4, x+5$ are divisible by a prime greater than $5$?

Published on 16 Apr 2026 - 9:14

2.5k

Views

How can I solve $4x + 51y = 9$ using congruences?

Published on 09 Apr 2026 - 3:22

140

Views

How do you compute $1+x+\cdots+x^7=0 \mod 40$?

Published on 16 Apr 2026 - 0:07

968

Views

How to prove that the product of two congruence classes mod p are congruent to another product of congruence classes

Published on 14 Apr 2026 - 8:37

48

Views

Is it true that given a positive integer $c$, there is at most one solution for $p^a - q^b = c$ where $p, q$ are primes and $p > q$

Published on 14 Apr 2026 - 17:24

279

Views

Integer solutions of $800000007 = x^2+y^2+z^2$

Published on 16 Apr 2026 - 16:04

List Question

Even, Odd, Congruent

Do we not have to follow Euclidean division strictly when doing modulo operations?

Verifying that $11^{λ(m)+1} ≡ 11 \pmod m$ for $m = 41 \cdot 11$

Solving for $3^x - 1 = 2^y$

Finding the remainder of $49!$ when divided by $53$

Fermat's Little Theorem not useful as $p\rightarrow\infty$

Doubt concerning Fermat's little theorem with a nonprime number

Solving for $5^a+1 = 2\cdot3^b$ beyond $5+1=6$

Solve $33x≡9$ (mod 29)

Is there an integer $y>0$ such that for all $x>y$, at least $4$ of $x+1, x+2, x+3, x+4, x+5$ are divisible by a prime greater than $5$?

How can I solve $4x + 51y = 9$ using congruences?

How do you compute $1+x+\cdots+x^7=0 \mod 40$?

How to prove that the product of two congruence classes mod p are congruent to another product of congruence classes

Is it true that given a positive integer $c$, there is at most one solution for $p^a - q^b = c$ where $p, q$ are primes and $p > q$

Integer solutions of $800000007 = x^2+y^2+z^2$

Trending Questions

Popular # Hahtags

Popular Questions