Question

Show that $n$ is a prime number if $x,n \in\mathbb{N}>0 $ such that $1+x+x^2+x^3+...x^{n-1}$ is a prime number

score 51 · Answer 1 · 2026-03-26 20:41:54

51

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Show that $n$ is a prime number if $x,n \in\mathbb{N}>0 $ such that $1+x+x^2+x^3+...x^{n-1}$ is a prime number

Published on 26 Mar 2026 - 20:41

score 434 · Answer 2 · 2026-03-25 13:55:17

434

Views

Trouble Understanding Fermat's Little Theorem for Non-Coprime Case

Published on 25 Mar 2026 - 13:55

score 118 · Answer 3 · 2026-03-29 01:17:26

118

Views

Passing k rounds of the Miller Rabin probabilistic test

Published on 29 Mar 2026 - 1:17

score 50 · Answer 4 · 2018-04-30 01:46:57

50

Views

What do you call a function that takes basis open sets to basis open sets in preimage?

Published on 30 Apr 2018 - 1:46

score 79 · Answer 5 · 2018-04-30 04:49:49

79

Views

$30\mid p_1^4+p_2^4+\cdots+p_{31}^4$. Prove that $p_1=2,p_2=3,p_3=5$

Published on 30 Apr 2018 - 4:49

score 71 · Answer 6 · 2018-04-30 16:40:14

71

Views

Is there always a prime number in these sets?

Published on 30 Apr 2018 - 16:40

score 130 · Answer 7 · 2026-03-25 19:02:00

130

Views

Largest Fraction Smaller than a Given Fraction

Published on 25 Mar 2026 - 19:02

score 213 · Answer 8 · 2026-03-25 07:46:26

213

Views

Number of prime factors of the product of the first Fibonacci numbers

Published on 25 Mar 2026 - 7:46

score 77 · Answer 9 · 2026-03-25 06:30:22

77

Views

Is there any proof in Number theory claimed or dis-claimed the existence of universel form generating primes?

Published on 25 Mar 2026 - 6:30

score 139 · Answer 10 · 2018-05-01 05:59:56

139

Views

Number of numbers need to check before finding a prime

Published on 01 May 2018 - 5:59

score 176 · Answer 11 · 2026-03-25 02:04:08

176

Views

Show that $3281$ is a strong pseudoprime to base $3$

Published on 25 Mar 2026 - 2:04

score 99 · Answer 12 · 2026-03-28 01:00:29

99

Views

What are the Dirichlet transforms of $\Lambda(n+1)$ and $\frac{\Lambda(n+1)}{\log(n+1)}$?

Published on 28 Mar 2026 - 1:00

score 40 · Answer 13 · 2018-05-01 18:07:35

40

Views

Why do $r \mid (p-1)$ and $p \mid (r^3-1)$ imply $p \mid (r^2+r+1)$ for primes $p, r$?

Published on 01 May 2018 - 18:07

score 466 · Answer 14 · 2026-03-25 20:35:49

466

Views

Initial values of Inkeri's primality test for Fermat numbers

Published on 25 Mar 2026 - 20:35

score 249 · Answer 15 · 2026-03-29 15:39:00

249

Views

What are the asymptotics of sums like $\frac16+\frac1{10}+\frac1{14}+\frac1{15}+\frac1{21}+\cdots+\frac1{p_{n-1}p_n}$?

Published on 29 Mar 2026 - 15:39

List Question

Show that $n$ is a prime number if $x,n \in\mathbb{N}>0 $ such that $1+x+x^2+x^3+...x^{n-1}$ is a prime number

Trouble Understanding Fermat's Little Theorem for Non-Coprime Case

Passing k rounds of the Miller Rabin probabilistic test

What do you call a function that takes basis open sets to basis open sets in preimage?

$30\mid p_1^4+p_2^4+\cdots+p_{31}^4$. Prove that $p_1=2,p_2=3,p_3=5$

Is there always a prime number in these sets?

Largest Fraction Smaller than a Given Fraction

Number of prime factors of the product of the first Fibonacci numbers

Is there any proof in Number theory claimed or dis-claimed the existence of universel form generating primes?

Number of numbers need to check before finding a prime

Show that $3281$ is a strong pseudoprime to base $3$

What are the Dirichlet transforms of $\Lambda(n+1)$ and $\frac{\Lambda(n+1)}{\log(n+1)}$?

Why do $r \mid (p-1)$ and $p \mid (r^3-1)$ imply $p \mid (r^2+r+1)$ for primes $p, r$?

Initial values of Inkeri's primality test for Fermat numbers

What are the asymptotics of sums like $\frac16+\frac1{10}+\frac1{14}+\frac1{15}+\frac1{21}+\cdots+\frac1{p_{n-1}p_n}$?

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