List questions from prime-numbers

Published on 25 Mar 2026 - 17:24

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Prime factorization and modulo for large exponents

Published on 11 Apr 2026 - 20:14

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Asymptotic distance between $x^2+1$ primes?

Published on 25 Mar 2026 - 17:19

242

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Product of Coprime Numbers Equals A Third Power (Number Theory)

Published on 12 Apr 2026 - 1:41

413

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a) and b) Suppose a = primitive root mod p for an odd prime p. Show that $\left(\frac{a}{p}\right)$ = -1

Published on 25 Mar 2026 - 14:36

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$a^{2} + b^{2}+ ab = c^{2} + d^{2} + cd$. Is it possible that $a+b+c+d$ be prime number?

Published on 16 Apr 2026 - 10:35

87

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Estimate for $n$-th Prime.

Published on 14 Apr 2026 - 17:50

145

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Congruences with twin prime numbers

Published on 25 Mar 2026 - 9:34

70

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Extending Mertens' third theorem to composite numbers

Published on 09 Apr 2026 - 13:34

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Let p be a prime number, show that if p ≡ 1 mod 3, then p ≡ 1 mod 6

Published on 17 Apr 2026 - 7:29

73

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What 's the largest number of consecutive integers such that each is divisible by a prime $\le p_n$

Published on 25 Mar 2026 - 17:21

183

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Are the non-trivial zeros of $\zeta(s)$ related specifically to the primes?

Published on 25 Mar 2026 - 17:42

186

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Why is this approximation of $\pi(n)$ so good, and how to get asymptotic expansion?

Published on 14 Apr 2026 - 3:22

39

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Showing that for $p_k\ \ge 31, p_{k-1}\# > (p_{k+1})^2$

Published on 25 Mar 2026 - 7:45

311

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Are there infinitely many finite sets $S$ of primes where $\sum_{p\in S} {1/(p_i-1)}=1$?

Published on 16 Apr 2026 - 12:09

List Question

The crosshatch conjecture, on primes in $(p,p^2)$

Prime factorization and modulo for large exponents

Asymptotic distance between $x^2+1$ primes?

Product of Coprime Numbers Equals A Third Power (Number Theory)

a) and b) Suppose a = primitive root mod p for an odd prime p. Show that $\left(\frac{a}{p}\right)$ = -1

$a^{2} + b^{2}+ ab = c^{2} + d^{2} + cd$. Is it possible that $a+b+c+d$ be prime number?

Estimate for $n$-th Prime.

Congruences with twin prime numbers

Extending Mertens' third theorem to composite numbers

Let p be a prime number, show that if p ≡ 1 mod 3, then p ≡ 1 mod 6

What 's the largest number of consecutive integers such that each is divisible by a prime $\le p_n$

Are the non-trivial zeros of $\zeta(s)$ related specifically to the primes?

Why is this approximation of $\pi(n)$ so good, and how to get asymptotic expansion?

Showing that for $p_k\ \ge 31, p_{k-1}\# > (p_{k+1})^2$

Are there infinitely many finite sets $S$ of primes where $\sum_{p\in S} {1/(p_i-1)}=1$?

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