List questions from prime-numbers

Published on 26 Mar 2026 - 23:09

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Difference between two consecutive prime numbers

Published on 13 May 2019 - 9:12

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Finding all prime $p$ for which there exists a positive integer $n$ such that $p^n+1$ is a perfect square?

Published on 25 Mar 2026 - 18:48

61

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$p^n+1=k^3$ where $p$ is a prime and $k$ is a positive integer.

Published on 13 May 2019 - 15:34

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If the order of a number (mod n) equals n-1 then n is prime?

Published on 23 Feb 2026 - 1:23

183

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Can I prove n^2 - n + 1 prime for all even n?

Published on 13 May 2019 - 20:35

57

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Let : $A=\frac{2^{4n+2}+1}{5}$ , $n>1$

Published on 26 Mar 2026 - 12:58

48

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How to calculate the probability of a large number to be divisible by a prime number?

Published on 14 May 2019 - 14:44

80

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Proof that $gcd(n, p-1) > 1$

Published on 14 May 2019 - 16:49

124

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Proof that the merit of a prime gap can become arbitary large?

Published on 25 Mar 2026 - 12:20

82

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Is there a specific theorem or name for this particular fact about primes? (Mod 6)

Published on 03 Apr 2026 - 1:00

203

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Prove that the number $3^{3^n} + 1$ has at least $2n + 1$ prime factors.

Published on 26 Mar 2026 - 21:27

94

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How to prove the irrationality of a number generated by the “$6n \pm 1$ property” of primes?

Published on 29 Mar 2026 - 8:15

227

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Primes number $n,n+2,n+6,n+8,n+12,n+14$

Published on 03 Apr 2026 - 2:36

415

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Existence of Limits, $P_n/P_{n+1}$ and $P_{n+1}/P_n$.

Published on 15 May 2019 - 20:29

List Question

Easy ways of finding small prime divisors

Difference between two consecutive prime numbers

Finding all prime $p$ for which there exists a positive integer $n$ such that $p^n+1$ is a perfect square?

$p^n+1=k^3$ where $p$ is a prime and $k$ is a positive integer.

If the order of a number (mod n) equals n-1 then n is prime?

Can I prove n^2 - n + 1 prime for all even n?

Let : $A=\frac{2^{4n+2}+1}{5}$ , $n>1$

How to calculate the probability of a large number to be divisible by a prime number?

Proof that $gcd(n, p-1) > 1$

Proof that the merit of a prime gap can become arbitary large?

Is there a specific theorem or name for this particular fact about primes? (Mod 6)

Prove that the number $3^{3^n} + 1$ has at least $2n + 1$ prime factors.

How to prove the irrationality of a number generated by the “$6n \pm 1$ property” of primes?

Primes number $n,n+2,n+6,n+8,n+12,n+14$

Existence of Limits, $P_n/P_{n+1}$ and $P_{n+1}/P_n$.

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