Question

If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

score 1.8k · Answer 1 · 2018-12-12 03:46:15

1.8k

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If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

Published on 12 Dec 2018 - 3:46

score 210 · Answer 2 · 2026-03-31 03:32:05

210

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Find all integers x for which $ |x^3 + 6x^2 + 2x − 6| $ is prime.

Published on 31 Mar 2026 - 3:32

score 115 · Answer 3 · 2026-03-25 06:13:26

115

Views

Is it true for any $n=2p$ where $p$ is prime, that the number of twin primes less than $n$ approaches the number of prime pairs?

Published on 25 Mar 2026 - 6:13

score 255 · Answer 4 · 2026-03-26 03:11:08

255

Views

Is there a term for numbers whose sum of prime factors are "amicable"

Published on 26 Mar 2026 - 3:11

score 107 · Answer 5 · 2018-12-13 13:43:27

107

Views

proof that $\frac{m^a}{2}+\frac{m}{2}-1$ is not a prime number

Published on 13 Dec 2018 - 13:43

score 84 · Answer 6 · 2026-03-28 01:07:38

84

Views

Expected number of digits of the second-largest prime factor of a very large composite number?

Published on 28 Mar 2026 - 1:07

score 347 · Answer 7 · 2026-03-25 06:02:16

347

Views

What is the Explicit Formula for $\log(\zeta(s))$?

Published on 25 Mar 2026 - 6:02

score 138 · Answer 8 · 2018-12-15 10:37:42

138

Views

Prove $ P_{n+1} + _{n+2} ≤ _1\times_2\times\cdots\times_n$ for $n\geq3$. $P_n$ is the $n$-th prime.

Published on 15 Dec 2018 - 10:37

score 408 · Answer 9 · 2026-03-25 12:33:06

408

Views

How did Euler show that number is idoneal?

Published on 25 Mar 2026 - 12:33

score 69 · Answer 10 · 2026-03-27 05:41:49

69

Views

Let $x \in \mathbb{N}$ and let $p$ be a prime divisor of $x^4+x^3+x^2+x+1$, prove that $p = 5$ or $p \equiv 1 \mod{5}$

Published on 27 Mar 2026 - 5:41

score 931 · Answer 11 · 2018-12-16 19:42:50

931

Views

Counting zeros and ones in binary representations of prime numbers

Published on 16 Dec 2018 - 19:42

score 258 · Answer 12 · 2018-12-16 21:43:42

258

Views

The sum of two prime powers equal a third prime power.

Published on 16 Dec 2018 - 21:43

score 70 · Answer 13 · 2018-12-16 22:57:45

70

Views

$ \frac{m^a}{2} + \frac{m}{2}-1 $ is not prime, $m \geq 4$ even integer, $ a\in \mathbb{Z}, a \geq 2 $

Published on 16 Dec 2018 - 22:57

score 72 · Answer 14 · 2026-03-25 09:26:09

72

Views

A computational criterion of irreducibility in $\mathbb Z[X]$?

Published on 25 Mar 2026 - 9:26

score 355 · Answer 15 · 2026-03-25 06:04:42

355

Views

An observation on Non-Trivial Zeros of Riemann Zeta Function.

Published on 25 Mar 2026 - 6:04

List Question

If $p$ is a prime and $p|ab$, then $p|a$ or $p|b$.

Find all integers x for which $ |x^3 + 6x^2 + 2x − 6| $ is prime.

Is it true for any $n=2p$ where $p$ is prime, that the number of twin primes less than $n$ approaches the number of prime pairs?

Is there a term for numbers whose sum of prime factors are "amicable"

proof that $\frac{m^a}{2}+\frac{m}{2}-1$ is not a prime number

Expected number of digits of the second-largest prime factor of a very large composite number?

What is the Explicit Formula for $\log(\zeta(s))$?

Prove $ P_{n+1} + _{n+2} ≤ _1\times_2\times\cdots\times_n$ for $n\geq3$. $P_n$ is the $n$-th prime.

How did Euler show that number is idoneal?

Let $x \in \mathbb{N}$ and let $p$ be a prime divisor of $x^4+x^3+x^2+x+1$, prove that $p = 5$ or $p \equiv 1 \mod{5}$

Counting zeros and ones in binary representations of prime numbers

The sum of two prime powers equal a third prime power.

$ \frac{m^a}{2} + \frac{m}{2}-1 $ is not prime, $m \geq 4$ even integer, $ a\in \mathbb{Z}, a \geq 2 $

A computational criterion of irreducibility in $\mathbb Z[X]$?

An observation on Non-Trivial Zeros of Riemann Zeta Function.

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