List questions from prime-numbers

Published on 13 Apr 2026 - 20:06

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Number theory double powers

Published on 14 Apr 2026 - 13:17

79

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What would a covering system for $x^2+1$ primes look like?

Published on 14 Apr 2026 - 18:37

65

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Are there any polynomials $P(x)$ that will always contain a prime factor larger than $x$?

Published on 15 Apr 2026 - 7:22

106

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Is every permutation of the first $k$ prime bases in $p_1^{q_1}+p_2^{q_2}+\dots+p_k^{q_k}$ a unique sum?

Published on 17 Apr 2026 - 2:25

222

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Question about the exponents n in Mersenne Primes.

Published on 09 Apr 2026 - 9:31

149

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if a prime p|LCM[a,b] then p|a or p|b

Published on 15 Apr 2026 - 18:46

40

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What examples are there of prime-related configurations occurring finitely many times?

Published on 14 Apr 2026 - 15:35

344

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Prime number circle distribution

Published on 12 Apr 2026 - 14:05

87

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Are there an infinite number of primes of the form 133...331?

Published on 14 Apr 2026 - 7:46

60

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Can it be shown that for numbers $n_L$ of the form 166...661 of length L, if $n_L$ is prime then $L$ is prime?

Published on 16 Apr 2026 - 14:38

143

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$ \pi(n) > \frac{n}{22 \ln(n)} $ simple proof?

Published on 14 Apr 2026 - 17:09

334

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How often is the product of the distinct prime factors of a number greater than that of the next number?

Published on 13 Apr 2026 - 9:16

141

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Are there any forms of primes which are known to be finite?

Published on 14 Apr 2026 - 6:29

38

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Computing Legendre symbol of a (p = prime number raised to prime number) mod p?

Published on 25 Mar 2026 - 14:34

List Question

Understanding a Topological proof of the infinity of primes

Number theory double powers

What would a covering system for $x^2+1$ primes look like?

Are there any polynomials $P(x)$ that will always contain a prime factor larger than $x$?

Is every permutation of the first $k$ prime bases in $p_1^{q_1}+p_2^{q_2}+\dots+p_k^{q_k}$ a unique sum?

Question about the exponents n in Mersenne Primes.

if a prime p|LCM[a,b] then p|a or p|b

What examples are there of prime-related configurations occurring finitely many times?

Prime number circle distribution

Are there an infinite number of primes of the form 133...331?

Can it be shown that for numbers $n_L$ of the form 166...661 of length L, if $n_L$ is prime then $L$ is prime?

$ \pi(n) > \frac{n}{22 \ln(n)} $ simple proof?

How often is the product of the distinct prime factors of a number greater than that of the next number?

Are there any forms of primes which are known to be finite?

Computing Legendre symbol of a (p = prime number raised to prime number) mod p?

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