List questions from prime-numbers

Published on 07 Apr 2026 - 9:42

1.3k

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What is the mean prime power?

Published on 06 Apr 2026 - 14:05

822

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Very tight prime bounds

Published on 13 Jul 2014 - 9:25

54

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Extending $f(p^k)$ where $p$ is prime

Published on 28 Mar 2026 - 16:20

204

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Interchanging limits with the prime counting function

Published on 26 Mar 2026 - 8:03

259

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Is $2013^{2014}+2014^{2015}+2015^{2013}+1$ a prime? (usage of a computer not allowed)

Published on 14 Jul 2014 - 6:27

793

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Identity for frequency of integers with smallest prime(n) divisor

Published on 25 Mar 2026 - 1:17

296

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Given $N$, what is the next prime $p$ greater than $N$?

Published on 15 Jul 2014 - 6:46

233

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Is this Goldbach-type problem easy to solve?

Published on 25 Mar 2026 - 9:33

60

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The $i^{th}$ prime in a given ring R

Published on 16 Jul 2014 - 3:22

345

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Is $7^{8}+8^{9}+9^{7}+1$ a prime? (no computer usage allowed)

Published on 16 Jul 2014 - 5:18

61

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Largest $k$ such that $(p-k) = \lceil \sqrt{(p-2k) p} \rceil$

Published on 26 Mar 2026 - 23:09

107

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How I could transform this into product over primes :$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$?

Published on 25 Mar 2026 - 23:11

331

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Prime number upper bound

Published on 17 Jul 2014 - 19:52

213

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Prove $18080108080 \sum_{k=0}^{1560-1} 10^{10k}+1$ is prime

Published on 18 Jul 2014 - 1:01

List Question

Why elements of the set can be Goldbach pairs for a given even number?

What is the mean prime power?

Very tight prime bounds

Extending $f(p^k)$ where $p$ is prime

Interchanging limits with the prime counting function

Is $2013^{2014}+2014^{2015}+2015^{2013}+1$ a prime? (usage of a computer not allowed)

Identity for frequency of integers with smallest prime(n) divisor

Given $N$, what is the next prime $p$ greater than $N$?

Is this Goldbach-type problem easy to solve?

The $i^{th}$ prime in a given ring R

Is $7^{8}+8^{9}+9^{7}+1$ a prime? (no computer usage allowed)

Largest $k$ such that $(p-k) = \lceil \sqrt{(p-2k) p} \rceil$

How I could transform this into product over primes :$s_p$= $\frac{1}{2^2-1}+\frac{1}{2^3-1}+....\frac{1}{2^p-1}$?

Prime number upper bound

Prove $18080108080 \sum_{k=0}^{1560-1} 10^{10k}+1$ is prime

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