Question

Show that if $\gcd(a,b) > 1$, then there can be at most one prime of the form $p = an+b$.

score 591 · Answer 1 · 2026-03-25 12:50:00

591

Views

Show that if $\gcd(a,b) > 1$, then there can be at most one prime of the form $p = an+b$.

Published on 25 Mar 2026 - 12:50

score 2.9k · Answer 2 · 2026-03-26 22:58:00

2.9k

Views

Prime in $\mathbb Z [\sqrt{-5}]$ but not in $\mathbb Z [\sqrt{5}]$

Published on 26 Mar 2026 - 22:58

score 121 · Answer 3 · 2026-03-25 05:41:58

121

Views

On an inequality inspired in the definition of strong primes and the Firoozbakht's conjecture

Published on 25 Mar 2026 - 5:41

score 224 · Answer 4 · 2026-03-27 16:39:11

224

Views

Prime ideals in $\mathbb Z[\zeta_{18}]$?

Published on 27 Mar 2026 - 16:39

score 56 · Answer 5 · 2026-03-26 17:47:50

56

Views

Congruence relation

Published on 26 Mar 2026 - 17:47

score 142 · Answer 6 · 2026-03-22 03:11:04

142

Views

Is the occurence of two perfect numbers a coincidence?

Published on 22 Mar 2026 - 3:11

score 196 · Answer 7 · 2026-03-27 06:19:19

196

Views

infinitude of primes of special form

Published on 27 Mar 2026 - 6:19

score 151 · Answer 8 · 2026-03-25 03:03:56

151

Views

The arithmetic function $\frac{\operatorname{rad}(2n)}{n+\varphi(n)+1}$ and a characterization of twin primes

Published on 25 Mar 2026 - 3:03

score 221 · Answer 9 · 2018-03-18 22:00:42

221

Views

Understanding the one sentence proof that every prime 1 more than a muliple of 4 is the sum of 2 squares

Published on 18 Mar 2018 - 22:00

score 111 · Answer 10 · 2026-03-25 06:16:18

111

Views

Bounding the number of semiprimes of the form $2p\pm1$

Published on 25 Mar 2026 - 6:16

score 1k · Answer 11 · 2018-03-19 11:25:24

1k

Views

How do primes split in $\mathbb{Z}[\sqrt[3]{2}]$?

Published on 19 Mar 2018 - 11:25

score 75 · Answer 12 · 2018-03-19 11:59:33

75

Views

For what non trivial values of $a$ and $k$, $a^k + 1$ will be prime?

Published on 19 Mar 2018 - 11:59

score 62 · Answer 13 · 2026-03-24 21:27:15

62

Views

Could be Euler product for Riemann zeta function runs over pseudo-prime?

Published on 24 Mar 2026 - 21:27

score 452 · Answer 14 · 2026-03-28 09:21:43

452

Views

Always prime? $6n+1$ and/or $6n-1$, if neither divisible by $5$ nor semiprime

Published on 28 Mar 2026 - 9:21

score 163 · Answer 15 · 2026-03-23 00:00:39

163

Views

Are there infinite many positive integers $n$ such that $n^2 + n +1$ is prime?

Published on 23 Mar 2026 - 0:00

List Question

Show that if $\gcd(a,b) > 1$, then there can be at most one prime of the form $p = an+b$.

Prime in $\mathbb Z [\sqrt{-5}]$ but not in $\mathbb Z [\sqrt{5}]$

On an inequality inspired in the definition of strong primes and the Firoozbakht's conjecture

Prime ideals in $\mathbb Z[\zeta_{18}]$?

Congruence relation

Is the occurence of two perfect numbers a coincidence?

infinitude of primes of special form

The arithmetic function $\frac{\operatorname{rad}(2n)}{n+\varphi(n)+1}$ and a characterization of twin primes

Understanding the one sentence proof that every prime 1 more than a muliple of 4 is the sum of 2 squares

Bounding the number of semiprimes of the form $2p\pm1$

How do primes split in $\mathbb{Z}[\sqrt[3]{2}]$?

For what non trivial values of $a$ and $k$, $a^k + 1$ will be prime?

Could be Euler product for Riemann zeta function runs over pseudo-prime?

Always prime? $6n+1$ and/or $6n-1$, if neither divisible by $5$ nor semiprime

Are there infinite many positive integers $n$ such that $n^2 + n +1$ is prime?

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