List questions from prime-numbers

Published on 17 Apr 2019 - 16:45

283

Views

Does digit $6$ always lead to $\ 25921=161^2\ $?

Published on 25 Mar 2026 - 21:47

94

Views

In what bases is $101$ the only prime in the sequence $1,101,10101,\ldots$?

Published on 17 Apr 2019 - 22:32

394

Views

Find all primes that satisfy the congruency $100^p \equiv 1 \mod p$

Published on 02 Apr 2026 - 13:25

85

Views

Using Dirichlet's theorem to show existence of number coprime to $n$

Published on 31 Mar 2026 - 5:41

184

Views

Irreducible Lipschitz numbers

Published on 25 Mar 2026 - 17:26

63

Views

For two different products of primes with rational powers, are the real number representations always unique?

Published on 26 Mar 2026 - 21:27

156

Views

How to estimate $\sum_{p\leqslant x}\sum_{q\leqslant x}\frac{1}{p+q}$?

Published on 30 Mar 2026 - 23:26

181

Views

Counting the number of integers with their least prime factor greater than $x$ between $ax$ and $ax+x$

Published on 25 Mar 2026 - 9:29

662

Views

Find all prime numbers $p$ such that $5^p+ 4p^4$ is a perfect square

Published on 25 Mar 2026 - 20:13

173

Views

Prime numbers & perfect squares

Published on 25 Mar 2026 - 21:45

75

Views

When is $a(n)$ prime?

Published on 20 Apr 2019 - 19:33

143

Views

Why are some Ramanujan $G_n$ and $g_n$ functions highly factorable?

Published on 27 Mar 2026 - 6:56

87

Views

Counting integers with a least prime factor greater than $x$ in a sequence of $x$ consecutive integers.

Published on 25 Mar 2026 - 9:28

204

Views

Is there another pair of consecutive primes with this property?

Published on 21 Apr 2019 - 8:57

List Question

What is the sum of the following series with a prime denominator

Does digit $6$ always lead to $\ 25921=161^2\ $?

In what bases is $101$ the only prime in the sequence $1,101,10101,\ldots$?

Find all primes that satisfy the congruency $100^p \equiv 1 \mod p$

Using Dirichlet's theorem to show existence of number coprime to $n$

Irreducible Lipschitz numbers

For two different products of primes with rational powers, are the real number representations always unique?

How to estimate $\sum_{p\leqslant x}\sum_{q\leqslant x}\frac{1}{p+q}$?

Counting the number of integers with their least prime factor greater than $x$ between $ax$ and $ax+x$

Find all prime numbers $p$ such that $5^p+ 4p^4$ is a perfect square

Prime numbers & perfect squares

When is $a(n)$ prime?

Why are some Ramanujan $G_n$ and $g_n$ functions highly factorable?

Counting integers with a least prime factor greater than $x$ in a sequence of $x$ consecutive integers.

Is there another pair of consecutive primes with this property?

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