List questions from prime-numbers

Published on 25 Mar 2026 - 23:34

187

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Find probability that product of two random integers uniformly distributed from $1$ to $n$ is divisible by $n$.

Published on 13 Mar 2018 - 11:48

190

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How to prove equality of sum of Legendre symbols

Published on 22 Mar 2026 - 13:54

139

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Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?

Published on 25 Mar 2026 - 7:44

29

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approximation of the sum of prime superior to the sum of integer?

Published on 25 Mar 2026 - 18:50

126

Views

When does a prime divide the sum of its primitive roots?

Published on 25 Mar 2026 - 14:24

108

Views

Show there is no $n>0$ where $n\in \mathbb{Z}$ such that $n$, $n+10$, $n+20$, $n+30$ are all prime

Published on 25 Mar 2026 - 23:42

105

Views

Smallest prime of the form $68^k+k!+1$?

Published on 27 Mar 2026 - 17:24

89

Views

Polynomials that often gives primes

Published on 25 Mar 2026 - 13:58

2.7k

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Sieve of Eratosthenes : why $\sqrt n$ work?

Published on 25 Mar 2026 - 15:50

108

Views

How to explain twice as much primes like $(2n-1)^2-2$ than like $(2n-1)^2+2$?

Published on 25 Mar 2026 - 5:07

476

Views

Can't understand the logical structure of Euclid's infinitely many primes proof in Rosen's book.

Published on 16 Mar 2018 - 15:17

130

Views

Sum of prime remainders is greater than prime p

Published on 16 Mar 2018 - 17:23

1k

Views

What $\ln (x)$ has to do with $\pi (x)$ and why of all functions the $\ln (x)$ is there?

Published on 16 Mar 2018 - 18:27

289

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the sequence $n!+2,...,n!+n$ is made up of only composite numbers

Published on 16 Mar 2018 - 18:42

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Solve for Square Roots

Find probability that product of two random integers uniformly distributed from $1$ to $n$ is divisible by $n$.

How to prove equality of sum of Legendre symbols

Is the sum $\sum_p \frac{1}{p^p}$ , $p$ running over the primes, transcendental?

approximation of the sum of prime superior to the sum of integer?

When does a prime divide the sum of its primitive roots?

Show there is no $n>0$ where $n\in \mathbb{Z}$ such that $n$, $n+10$, $n+20$, $n+30$ are all prime

Smallest prime of the form $68^k+k!+1$?

Polynomials that often gives primes

Sieve of Eratosthenes : why $\sqrt n$ work?

How to explain twice as much primes like $(2n-1)^2-2$ than like $(2n-1)^2+2$?

Can't understand the logical structure of Euclid's infinitely many primes proof in Rosen's book.

Sum of prime remainders is greater than prime p

What $\ln (x)$ has to do with $\pi (x)$ and why of all functions the $\ln (x)$ is there?

the sequence $n!+2,...,n!+n$ is made up of only composite numbers

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