Question

If $p=x^2-6y^2$ is a prime then $p\equiv 1 , 19 \mod{24}$

score 463 · Answer 1 · 2026-04-16 22:19:25

463

Views

If $p=x^2-6y^2$ is a prime then $p\equiv 1 , 19 \mod{24}$

Published on 16 Apr 2026 - 22:19

score 140 · Answer 2 · 2026-04-11 19:13:12

140

Views

What is the first digit of $-10$?

Published on 11 Apr 2026 - 19:13

score 723 · Answer 3 · 2026-04-19 21:15:09

723

Views

Finding all possible remainders of perfect squares mod $n$, $n\in \mathbb{Z_+}$

Published on 19 Apr 2026 - 21:15

score 74 · Answer 4 · 2026-04-16 20:50:10

74

Views

Do there exist distinct integers $p$ and $q$ such that $\dfrac{p}{n} = \dfrac{q}{n+1}$ for some integer $n$?

Published on 16 Apr 2026 - 20:50

score 87 · Answer 5 · 2026-04-12 18:53:41

87

Views

Is 31 the only number that can be represented by two distinct sums of consecutive powers of primes?

Published on 12 Apr 2026 - 18:53

score 73 · Answer 6 · 2026-04-16 05:43:34

73

Views

changing remainder $\dfrac{3}{7}$ to $4$ in mod $5$

Published on 16 Apr 2026 - 5:43

score 55 · Answer 7 · 2026-04-17 03:45:57

55

Views

Prove that $\left|\left\{ 1\leq x\leq p^{2}\ :\ p^{2}\mid\left(x^{p-1}-1\right)\right\} \right|=p-1$

Published on 17 Apr 2026 - 3:45

score 1.4k · Answer 8 · 2026-04-17 02:02:30

1.4k

Views

Is there an efficient way to compute the square root of modulo prime?

Published on 17 Apr 2026 - 2:02

score 51 · Answer 9 · 2026-04-13 06:21:52

51

Views

Inference of a condition

Published on 13 Apr 2026 - 6:21

score 366 · Answer 10 · 2026-04-16 13:55:02

366

Views

Order of an element modulo $n$ divides $\varphi(n)/2$.

Published on 16 Apr 2026 - 13:55

score 52 · Answer 11 · 2026-04-12 06:26:38

52

Views

Non-divisibility and Addtion

Published on 12 Apr 2026 - 6:26

score 319 · Answer 12 · 2026-04-15 22:11:27

319

Views

Number of incongruent integers that have a given order modulo p.

Published on 15 Apr 2026 - 22:11

score 258 · Answer 13 · 2026-04-15 08:24:44

258

Views

Solutions of $10^{x} -5^{x}-2^{x}=y^{2}-1$.

Published on 15 Apr 2026 - 8:24

score 125 · Answer 14 · 2026-04-17 00:26:51

125

Views

Prime Number Theorem Related functions Divisibility Relation Counter Sought

Published on 17 Apr 2026 - 0:26

score 229 · Answer 15 · 2026-04-11 08:20:47

229

Views

How to solve system of congruence with common divisor?

Published on 11 Apr 2026 - 8:20

List Question

If $p=x^2-6y^2$ is a prime then $p\equiv 1 , 19 \mod{24}$

What is the first digit of $-10$?

Finding all possible remainders of perfect squares mod $n$, $n\in \mathbb{Z_+}$

Do there exist distinct integers $p$ and $q$ such that $\dfrac{p}{n} = \dfrac{q}{n+1}$ for some integer $n$?

Is 31 the only number that can be represented by two distinct sums of consecutive powers of primes?

changing remainder $\dfrac{3}{7}$ to $4$ in mod $5$

Prove that $\left|\left\{ 1\leq x\leq p^{2}\ :\ p^{2}\mid\left(x^{p-1}-1\right)\right\} \right|=p-1$

Is there an efficient way to compute the square root of modulo prime?

Inference of a condition

Order of an element modulo $n$ divides $\varphi(n)/2$.

Non-divisibility and Addtion

Number of incongruent integers that have a given order modulo p.

Solutions of $10^{x} -5^{x}-2^{x}=y^{2}-1$.

Prime Number Theorem Related functions Divisibility Relation Counter Sought

How to solve system of congruence with common divisor?

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