List questions from number-theory

Published on 09 Apr 2026 - 2:01

694

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Spiral of prime numbers.

Published on 25 Mar 2026 - 15:51

173

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On the cubic generalization $(a^3+b^3+c^3+d^3)(e^3+f^3+g^3+h^3 ) = v_1^3+v_2^3+v_3^3+v_4^3$ for the Euler four-square

Published on 25 Mar 2026 - 22:05

1.6k

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Existence of Solution to Generalized Pell's Equation

Published on 09 Apr 2026 - 2:07

324

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Elementary Number Theory (Least Residue)

Published on 25 Mar 2026 - 11:10

458

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Euler Totient Function - show that if $q$ is prime and divides $m$, then $\phi(qm) = q\phi(m)$,

Published on 16 Feb 2018 - 18:07

128

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Generating functions and Jacobi's theorem

Published on 02 Apr 2026 - 4:05

73

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How can I write $1/n^2$ as a product of n terms $c_1,....,c_n$ in such a way that $c_n$ tends to a limit $\neq 0$?

Published on 16 Feb 2018 - 22:13

724

Views

Let $a,b,c$ form a primitive Pythagorean triple, with $a$ odd. Prove that $(c-b)$ and $(c+b)$ share no common prime factors.

Published on 25 Mar 2026 - 14:36

166

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Finding approximate largest common divisor for sets of real numbers.

Published on 25 Mar 2026 - 7:49

2k

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Show that $f(n)=n^3+20n+1=O(n^3)$

Published on 25 Mar 2026 - 19:05

322

Views

Prove $15\mid 4^{2n}-1$ without induction

Published on 25 Mar 2026 - 3:18

128

Views

Resizing a matrix

Published on 12 Apr 2026 - 3:01

418

Views

Super-fast growing function exceeding Graham's number

Published on 09 Apr 2026 - 3:36

281

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Borel's strong law of large numbers: the proofs

Published on 11 Apr 2026 - 18:07

List Question

Prove the asymptotic probability of numbers being relative prime equals $\frac{6}{\pi^2}$

Spiral of prime numbers.

On the cubic generalization $(a^3+b^3+c^3+d^3)(e^3+f^3+g^3+h^3 ) = v_1^3+v_2^3+v_3^3+v_4^3$ for the Euler four-square

Existence of Solution to Generalized Pell's Equation

Elementary Number Theory (Least Residue)

Euler Totient Function - show that if $q$ is prime and divides $m$, then $\phi(qm) = q\phi(m)$,

Generating functions and Jacobi's theorem

How can I write $1/n^2$ as a product of n terms $c_1,....,c_n$ in such a way that $c_n$ tends to a limit $\neq 0$?

Let $a,b,c$ form a primitive Pythagorean triple, with $a$ odd. Prove that $(c-b)$ and $(c+b)$ share no common prime factors.

Finding approximate largest common divisor for sets of real numbers.

Show that $f(n)=n^3+20n+1=O(n^3)$

Prove $15\mid 4^{2n}-1$ without induction

Resizing a matrix

Super-fast growing function exceeding Graham's number

Borel's strong law of large numbers: the proofs

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