List questions from prime-numbers

Published on 25 Mar 2026 - 13:07

85

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Why do complex elements of $R(x)$ cancel?

Published on 23 Aug 2018 - 9:40

75

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Product of a known prime

Published on 25 Mar 2026 - 20:52

84

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Is there an easier (or alternative) method to uncover the answer, as opposed to brute-force/exhaustion?

Published on 24 Aug 2018 - 0:08

239

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Show that if $\beta \mid \alpha$ in $\mathbb Z[i]$ then $N(\beta) \mid N(\alpha)$

Published on 25 Mar 2026 - 6:03

74

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GCD of $p+q$ for all pairs of primes $p,q$ of the form $p-q=12n+2x$

Published on 25 Mar 2026 - 6:13

144

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Is a pair of bases $(a,b)$ known such that Wieferich primes to bases $a$ and $b$ are impossible?

Published on 24 Aug 2018 - 13:20

413

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Why are $p$-adic numbers formal series?

Published on 25 Mar 2026 - 16:13

73

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Is there a pair of prime $(p,q)$ such that $p >q>7$ and $2q-p=3$ and $p, q$ are successive?

Published on 25 Mar 2026 - 6:12

227

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If $pqr(p+q+r)$ is a square and $p,q,r$ are primes, then what's the maximum value of $p+q+r$?

Published on 25 Mar 2026 - 13:58

103

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A problem inspired by the Twin Prime conjecture

Published on 25 Mar 2026 - 9:41

86

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Find the prime factorisation of $6500$ and $1120$, and write down, in factorised form, $\gcd(6500, 1120)$ and $\operatorname{lcm}(6500, 1120)$.

Published on 25 Mar 2026 - 20:53

478

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There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Published on 25 Mar 2026 - 19:04

76

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Show equivalence with Legendre symbol

Published on 27 Mar 2026 - 0:02

354

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Dissecting the complexity of prime numbers

Published on 27 Mar 2026 - 12:31

List Question

Even numbers of the form $\frac {n(n+1)}{2}$ and twin primes

Why do complex elements of $R(x)$ cancel?

Product of a known prime

Is there an easier (or alternative) method to uncover the answer, as opposed to brute-force/exhaustion?

Show that if $\beta \mid \alpha$ in $\mathbb Z[i]$ then $N(\beta) \mid N(\alpha)$

GCD of $p+q$ for all pairs of primes $p,q$ of the form $p-q=12n+2x$

Is a pair of bases $(a,b)$ known such that Wieferich primes to bases $a$ and $b$ are impossible?

Why are $p$-adic numbers formal series?

Is there a pair of prime $(p,q)$ such that $p >q>7$ and $2q-p=3$ and $p, q$ are successive?

If $pqr(p+q+r)$ is a square and $p,q,r$ are primes, then what's the maximum value of $p+q+r$?

A problem inspired by the Twin Prime conjecture

Find the prime factorisation of $6500$ and $1120$, and write down, in factorised form, $\gcd(6500, 1120)$ and $\operatorname{lcm}(6500, 1120)$.

There are primes $p,q$ such that $\gcd(a,b)=|ap-bq|$

Show equivalence with Legendre symbol

Dissecting the complexity of prime numbers

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