List questions from number-theory

Published on 23 Mar 2026 - 7:27

46

Views

Showing the equality $P(x,m) = \sum_a \{\frac{x}{2a} \} - \sum _b \{\frac{x}{2x}\}$

Published on 09 Feb 2018 - 4:39

248

Views

Mathematical proof that $m^4+8$ is not a cube of an integer if $13$ does not divide $m$ (Table proof provided)

Published on 11 Apr 2026 - 3:27

64

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ideas on how to prove this statement about the Gram points?

Published on 09 Apr 2026 - 3:38

111

Views

Prove that $\langle[a]\rangle=\langle[b]\rangle$ in $\mathbb Z_n$ iff $\gcd(a,n)=\gcd(b,n)$

Published on 09 Feb 2018 - 13:55

373

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Square root of a root of unity.

Published on 09 Apr 2026 - 2:52

175

Views

The du Sautoy nilpotent group for an elliptic curve.

Published on 09 Feb 2018 - 20:53

101

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For prime numbers $p_n$ it holds $m\equiv p_n^2\pmod {p_{n+1}}\implies$ $m$ is a square

Published on 06 Apr 2026 - 10:20

68

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All even squares are congruent with a prime square $p_n^2\pmod {p_{n+1}}$

Published on 07 Apr 2026 - 4:52

237

Views

Solve the equation in positive integers $k^m+m^n=kmn$

Published on 26 Mar 2026 - 16:00

223

Views

I have a proof concerning prime numbers. Should I publish my result?

Published on 09 Apr 2026 - 6:19

64

Views

Legendre calculation passing through Jaccobi

Published on 09 Apr 2026 - 1:10

127

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Deciphering cypher text after breaking the RSA system

Published on 06 Apr 2026 - 13:22

136

Views

Proof on Legendre symbol

Published on 09 Apr 2026 - 1:09

89

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Ramanujan’s puzzling problem

Published on 11 Apr 2026 - 22:33

List Question

Show that $\sum (p\log(p))^{-1}$ converges

Showing the equality $P(x,m) = \sum_a \{\frac{x}{2a} \} - \sum _b \{\frac{x}{2x}\}$

Mathematical proof that $m^4+8$ is not a cube of an integer if $13$ does not divide $m$ (Table proof provided)

ideas on how to prove this statement about the Gram points?

Prove that $\langle[a]\rangle=\langle[b]\rangle$ in $\mathbb Z_n$ iff $\gcd(a,n)=\gcd(b,n)$

Square root of a root of unity.

The du Sautoy nilpotent group for an elliptic curve.

For prime numbers $p_n$ it holds $m\equiv p_n^2\pmod {p_{n+1}}\implies$ $m$ is a square

All even squares are congruent with a prime square $p_n^2\pmod {p_{n+1}}$

Solve the equation in positive integers $k^m+m^n=kmn$

I have a proof concerning prime numbers. Should I publish my result?

Legendre calculation passing through Jaccobi

Deciphering cypher text after breaking the RSA system

Proof on Legendre symbol

Ramanujan’s puzzling problem

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