List questions from prime-numbers

Published on 30 Mar 2026 - 22:54

343

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Is $2^p - 1$ always prime when p is a mersenne prime?

Published on 23 Feb 2026 - 1:05

48

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Existence of a non - square solution to a modular equation (Y)

Published on 25 Mar 2026 - 12:52

110

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$p, q$ are prime, $(p - 1) \bmod q = 0$, $(q^7 - 1) \bmod p = 0$ and $q$ is known, how to get $p$

Published on 26 Mar 2026 - 12:53

54

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Is it possible to write any integer $p^n (n\in \mathbb{N})$ in the form $6m\pm 1$.

Published on 26 May 2019 - 14:11

250

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How to prove $\sum_{i=1}^{p-1}\sqrt[p]{\frac{i}{p}} $ is an algebraic integer?

Published on 27 May 2019 - 9:01

198

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Reference request on the Riemann Zeta function

Published on 29 Mar 2026 - 12:50

510

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Class number of $\mathbb{Q}(\sqrt{13})$

Published on 27 May 2019 - 15:45

82

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Are there infinitely many primes of the form $9m^2+3m+1$ where $m\in \mathbb{Z}$?

Published on 28 May 2019 - 12:02

130

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sum of primes squared equals a prime squared

Published on 28 May 2019 - 20:38

365

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Logarithm of factorial equal to sum of logarithm of primes

Published on 26 Mar 2026 - 17:50

170

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Goldbach's conjecture among primes only

Published on 25 Mar 2026 - 6:10

37

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How many numbers below a product of first n primes P are coprime with P?

Published on 31 May 2019 - 5:42

173

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Show that there exists $i$ and $j$ with $1 \leq i<j \leq 51$ satisfying $a_i$ divides $a_j$.

Published on 31 May 2019 - 8:52

235

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Totient function trick?

Published on 26 Mar 2026 - 7:37

List Question

How many of the sequential primeconcatenations are prime?

Is $2^p - 1$ always prime when p is a mersenne prime?

Existence of a non - square solution to a modular equation (Y)

$p, q$ are prime, $(p - 1) \bmod q = 0$, $(q^7 - 1) \bmod p = 0$ and $q$ is known, how to get $p$

Is it possible to write any integer $p^n (n\in \mathbb{N})$ in the form $6m\pm 1$.

How to prove $\sum_{i=1}^{p-1}\sqrt[p]{\frac{i}{p}} $ is an algebraic integer?

Reference request on the Riemann Zeta function

Class number of $\mathbb{Q}(\sqrt{13})$

Are there infinitely many primes of the form $9m^2+3m+1$ where $m\in \mathbb{Z}$?

sum of primes squared equals a prime squared

Logarithm of factorial equal to sum of logarithm of primes

Goldbach's conjecture among primes only

How many numbers below a product of first n primes P are coprime with P?

Show that there exists $i$ and $j$ with $1 \leq i<j \leq 51$ satisfying $a_i$ divides $a_j$.

Totient function trick?

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