List questions from prime-numbers

Published on 26 Oct 2014 - 3:49

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Prove or disprive that $n^{2}-n+17$ is prime for all integers $n$

Published on 26 Oct 2014 - 11:34

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If $p$ and $q$ are prime numbers larger than $2$, then $pq + 1 $ is never prime

Published on 26 Oct 2014 - 13:48

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Why can't prime numbers satisfy the Pythagoras Theorem? That is, why can't a set of 3 prime numbers be a Pythagorean triplet?

Published on 26 Mar 2026 - 11:01

26

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Proof for divisions that in include prime number.

Published on 26 Oct 2014 - 16:26

169

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A Generalization of Carmichael Numbers

Published on 11 Apr 2026 - 20:17

268

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Asymptotic Expression for the Twin Prime Counting Function

Published on 11 Apr 2026 - 23:14

155

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Primality Criterion for Specific Class of Proth Numbers

Published on 11 Apr 2026 - 2:22

76

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finding A using with restriction $1 \leq a \leq 20$ in GCD

Published on 11 Apr 2026 - 3:07

261

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Primality of $n! +1$

Published on 26 Mar 2026 - 9:26

167

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To prove $\pi(x)>\dfrac x{\ln x} , \forall x \ge 17$ by elementary argument

Published on 28 Oct 2014 - 14:44

158

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How many numbers are products of $p^p$?

Published on 10 Apr 2026 - 21:12

43

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Easy (?) estimation about prime powers

Published on 09 Apr 2026 - 7:56

590

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A conjecture concerning primes and algebra

Published on 26 Mar 2026 - 11:16

99

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Periodicity over the prime indices of a multiplicative sequence implies periodicity?

Published on 02 Apr 2026 - 19:36

List Question

The primes such that removing digits from the right end leaves another prime

Prove or disprive that $n^{2}-n+17$ is prime for all integers $n$

If $p$ and $q$ are prime numbers larger than $2$, then $pq + 1 $ is never prime

Why can't prime numbers satisfy the Pythagoras Theorem? That is, why can't a set of 3 prime numbers be a Pythagorean triplet?

Proof for divisions that in include prime number.

A Generalization of Carmichael Numbers

Asymptotic Expression for the Twin Prime Counting Function

Primality Criterion for Specific Class of Proth Numbers

finding A using with restriction $1 \leq a \leq 20$ in GCD

Primality of $n! +1$

To prove $\pi(x)>\dfrac x{\ln x} , \forall x \ge 17$ by elementary argument

How many numbers are products of $p^p$?

Easy (?) estimation about prime powers

A conjecture concerning primes and algebra

Periodicity over the prime indices of a multiplicative sequence implies periodicity?

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