List questions from factoring

Published on 31 Mar 2026 - 6:07

46

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Factorisation of large composite number given a factor

Published on 11 Jan 2020 - 22:16

73

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Find $\gcd(15-15i,7-i)$ in $\mathbb Z[i]$

Published on 28 Mar 2026 - 14:37

72

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Show that $x^4 +1 | x^{p^2-1}-1$, for prime $p>3$

Published on 13 Jan 2020 - 1:47

356

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Factoring $3n^3 - 39n^2 + 360n + 20$

Published on 26 Mar 2026 - 14:19

76

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Given positives $x$ and $y$ such that $x^2 + y^2 = xy + 1$, prove that $\frac{x}{x^2 + y} + \frac{y}{y^2 + x} \le 1$.

Published on 27 Mar 2026 - 7:31

50

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Confused how to arrive at the factorization of this polynomial

Published on 13 Jan 2020 - 21:02

111

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A very nice factorization of numbers $2^{2n} -1$:

Published on 17 Jan 2020 - 20:00

127

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Search for a Rationalizing Factor

Published on 31 Mar 2026 - 13:31

120

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A conjecture concerning Pollard rho

Published on 26 Mar 2026 - 19:38

829

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$a^3 + b^3 + c^3 = 3abc$ , can this be true only when $a+b+c = 0$ or $a=b=c$, or can it be true in any other case?

Published on 27 Mar 2026 - 10:47

56

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Give all the ways of factoring $x^2$ into polynomials of degree 1 in $\mathbb{Z}_9[x]$; in $\mathbb{Z}_5[x]$.

Published on 20 Jan 2020 - 5:27

79

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How can I factor out $x^2+ax-2 (3a+1)(2a+1)$?

Published on 20 Jan 2020 - 10:27

88

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What information about the factors of a big number can be gained in a couple of minutes?

Published on 25 Mar 2026 - 7:46

73

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Finding factor of 21181*2^28+1

Published on 21 Jan 2020 - 14:42

List Question

Solve the inequality $\sqrt{7+2016x}+49\le 4x^2+\sqrt{2018x}$

Factorisation of large composite number given a factor

Find $\gcd(15-15i,7-i)$ in $\mathbb Z[i]$

Show that $x^4 +1 | x^{p^2-1}-1$, for prime $p>3$

Factoring $3n^3 - 39n^2 + 360n + 20$

Given positives $x$ and $y$ such that $x^2 + y^2 = xy + 1$, prove that $\frac{x}{x^2 + y} + \frac{y}{y^2 + x} \le 1$.

Confused how to arrive at the factorization of this polynomial

A very nice factorization of numbers $2^{2n} -1$:

Search for a Rationalizing Factor

A conjecture concerning Pollard rho

$a^3 + b^3 + c^3 = 3abc$ , can this be true only when $a+b+c = 0$ or $a=b=c$, or can it be true in any other case?

Give all the ways of factoring $x^2$ into polynomials of degree 1 in $\mathbb{Z}_9[x]$; in $\mathbb{Z}_5[x]$.

How can I factor out $x^2+ax-2 (3a+1)(2a+1)$?

What information about the factors of a big number can be gained in a couple of minutes?

Finding factor of 21181*2^28+1

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