List questions from prime-numbers

Published on 25 Mar 2026 - 1:16

103

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For what $n$ does there exist $a,b > 0$ such that there are exactly $n$ primes $p$ such that $ap + b$ is a perfect square?

Published on 26 Mar 2026 - 9:58

243

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Literature about the equation $x^m+y^m+z^m=(x+y)^m$

Published on 26 Mar 2026 - 11:18

162

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A conjecture involving the equation $x^n+y^n+z^n= (x+y)^n$

Published on 26 Mar 2026 - 9:58

100

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Is there a closed expression for $\sum_{n =2}^{\infty}\pi(n)z^n$?

Published on 25 Mar 2026 - 23:30

421

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How do you prove that $n^2-1$ is composite when $n>2$?

Published on 31 Mar 2026 - 3:26

694

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Is it possible to prove that $\pi(n)>\pi(2n)-\pi(n)$ for all $n > 10$?

Published on 02 Jul 2018 - 1:54

135

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What is known about this specialization of the falling factorial involving primes?

Published on 25 Mar 2026 - 12:20

118

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Solve $\pi(xn)=\frac{xn}{\frac{n}{\pi(n)}+\ln(x)}$

Published on 27 Mar 2026 - 1:46

46

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Probability of matrix equality under modulo (pattern matching)

Published on 25 Feb 2026 - 7:49

182

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On the product $\prod_{1\leq a<b\leq \frac{p-1}{2}}\,\left(a^2+b^2\right)$, where $p$ is prime

Published on 26 Mar 2026 - 12:53

518

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Why is $2$ so troublesome a prime?

Published on 27 Mar 2026 - 1:44

234

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Exercise about primes in the ring of Gaussian integers

Published on 25 Mar 2026 - 4:40

306

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Parity of the result of modular multiplication and modular multiplicative inverse

Published on 26 Mar 2026 - 19:43

159

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Asymptotic formula of Modular Prime Counting Function

Published on 27 Mar 2026 - 1:44

List Question

What does the Lindelöf hypothesis imply?

For what $n$ does there exist $a,b > 0$ such that there are exactly $n$ primes $p$ such that $ap + b$ is a perfect square?

Literature about the equation $x^m+y^m+z^m=(x+y)^m$

A conjecture involving the equation $x^n+y^n+z^n= (x+y)^n$

Is there a closed expression for $\sum_{n =2}^{\infty}\pi(n)z^n$?

How do you prove that $n^2-1$ is composite when $n>2$?

Is it possible to prove that $\pi(n)>\pi(2n)-\pi(n)$ for all $n > 10$?

What is known about this specialization of the falling factorial involving primes?

Solve $\pi(xn)=\frac{xn}{\frac{n}{\pi(n)}+\ln(x)}$

Probability of matrix equality under modulo (pattern matching)

On the product $\prod_{1\leq a<b\leq \frac{p-1}{2}}\,\left(a^2+b^2\right)$, where $p$ is prime

Why is $2$ so troublesome a prime?

Exercise about primes in the ring of Gaussian integers

Parity of the result of modular multiplication and modular multiplicative inverse

Asymptotic formula of Modular Prime Counting Function

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