Question

For what primes $p$ is $ (x + y)^{13} \equiv x^{13} + y^{13} \pmod{p}$, $\forall x,y \in \mathbb{Z}_p$?

score 77 · Answer 1 · 2018-04-25 14:25:59

77

Views

For what primes $p$ is $ (x + y)^{13} \equiv x^{13} + y^{13} \pmod{p}$, $\forall x,y \in \mathbb{Z}_p$?

Published on 25 Apr 2018 - 14:25

score 1.5k · Answer 2 · 2026-03-23 05:36:07

1.5k

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Easiest way to check whether the number is prime or not

Published on 23 Mar 2026 - 5:36

score 95 · Answer 3 · 2018-04-25 19:45:48

95

Views

Probability not divisible by $k^2$

Published on 25 Apr 2018 - 19:45

score 62 · Answer 4 · 2026-03-27 22:59:40

62

Views

Could these be called prime vectors?

Published on 27 Mar 2026 - 22:59

score 75 · Answer 5 · 2018-04-27 12:35:01

75

Views

$p$ and $10p^2+11$ are prime numbers. Find $p$

Published on 27 Apr 2018 - 12:35

score 116 · Answer 6 · 2026-03-25 01:16:24

116

Views

Prove $(9^n-1)/8$ is never prime (always composite or $1)$

Published on 25 Mar 2026 - 1:16

score 887 · Answer 7 · 2026-03-25 14:46:54

887

Views

Let $n=(6t+1)(12t+1)(18t+1)$. Show that $a^{n-1} \equiv 1\pmod n$ if $(a,n)=1$

Published on 25 Mar 2026 - 14:46

score 537 · Answer 8 · 2026-03-25 12:49:56

537

Views

Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Published on 25 Mar 2026 - 12:49

score 355 · Answer 9 · 2026-03-25 12:49:46

355

Views

Re: Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Published on 25 Mar 2026 - 12:49

score 43 · Answer 10 · 2018-04-28 20:30:51

43

Views

Convergent or divergent? About a series with primes numbers

Published on 28 Apr 2018 - 20:30

score 92 · Answer 11 · 2026-03-25 04:41:17

92

Views

Can $2^s+3^s+\cdots +q^s$ , $q$ odd prime , $s\ge 2$ be a perfect power?

Published on 25 Mar 2026 - 4:41

score 148 · Answer 12 · 2018-04-29 08:08:51

148

Views

Using Norms to Determine Factorisations in the Gaussian Integers

Published on 29 Apr 2018 - 8:08

score 171 · Answer 13 · 2018-04-29 08:32:01

171

Views

Probabilistic indication of infinitude of Mersenne primes

Published on 29 Apr 2018 - 8:32

score 51 · Answer 14 · 2026-03-27 20:12:55

51

Views

Almost prime with O(1)? (faux prime algorithm)

Published on 27 Mar 2026 - 20:12

score 75 · Answer 15 · 2018-04-29 09:48:49

75

Views

pi over prime number radians

Published on 29 Apr 2018 - 9:48

List Question

For what primes $p$ is $ (x + y)^{13} \equiv x^{13} + y^{13} \pmod{p}$, $\forall x,y \in \mathbb{Z}_p$?

Easiest way to check whether the number is prime or not

Probability not divisible by $k^2$

Could these be called prime vectors?

$p$ and $10p^2+11$ are prime numbers. Find $p$

Prove $(9^n-1)/8$ is never prime (always composite or $1)$

Let $n=(6t+1)(12t+1)(18t+1)$. Show that $a^{n-1} \equiv 1\pmod n$ if $(a,n)=1$

Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Re: Find all primes $p$ such that $\phi(x)=x^{13}$ is a homomorphism $\Bbb Z/p\Bbb Z \rightarrow \Bbb Z/p\Bbb Z$.

Convergent or divergent? About a series with primes numbers

Can $2^s+3^s+\cdots +q^s$ , $q$ odd prime , $s\ge 2$ be a perfect power?

Using Norms to Determine Factorisations in the Gaussian Integers

Probabilistic indication of infinitude of Mersenne primes

Almost prime with O(1)? (faux prime algorithm)

pi over prime number radians

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