List questions from alternative-proof

Published on 29 Mar 2026 - 22:28

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Fundamental theorem of algebra: a proof for undergrads?

Published on 08 Apr 2026 - 20:11

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If $p$ is irreducible and $p \not \mid a$, then $\text{gcd}(p,a)=\pm 1$.

Published on 13 Aug 2013 - 22:30

115

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How to improve this proof about real numbers?

Published on 23 Aug 2013 - 13:46

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Prove that in a parabola the tangent at one end of a focal chord is parallel to the normal at the other end.

Published on 25 Aug 2013 - 9:27

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Is there some elementary proof of invariance of domain?

Published on 25 Aug 2013 - 16:56

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Prove $\log_a(b)$ is irrational given that $a, b$ are positive distinct primes.

Published on 25 Aug 2013 - 20:19

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Higman group with 3 generators is trivial

Published on 28 Mar 2026 - 7:16

672

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Every finite group is finitely generated. - alternate proof

Published on 04 Sep 2013 - 4:48

293

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Dividing Squares Fails to Invoke Contradiction: Two Elementary Divisibility Proofs

Published on 04 Sep 2013 - 11:58

1.3k

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Proof for $-\sup(A) = \inf(-A)$

Published on 09 Apr 2026 - 10:47

2.6k

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Prove $3^n \ge n^3$ by induction

Published on 29 Mar 2026 - 19:16

21.4k

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Prove that $\sup(A+B) = \sup(A) + \sup(B)$ and why does $\sup(A+B)$ exist?

Published on 08 Apr 2026 - 5:37

219

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Alternative argument - set theory problem

Published on 17 Sep 2013 - 18:59

265

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Is there a Schur-Zassenhaus-free proof that $\Phi(G)$ cannot contain a Sylow subgroup of $G$?

Published on 20 Sep 2013 - 4:37

List Question

$\sum_{k=1}^nH_k = (n+1)H_n-n$. Why?

Fundamental theorem of algebra: a proof for undergrads?

If $p$ is irreducible and $p \not \mid a$, then $\text{gcd}(p,a)=\pm 1$.

How to improve this proof about real numbers?

Prove that in a parabola the tangent at one end of a focal chord is parallel to the normal at the other end.

Is there some elementary proof of invariance of domain?

Prove $\log_a(b)$ is irrational given that $a, b$ are positive distinct primes.

Higman group with 3 generators is trivial

Every finite group is finitely generated. - alternate proof

Dividing Squares Fails to Invoke Contradiction: Two Elementary Divisibility Proofs

Proof for $-\sup(A) = \inf(-A)$

Prove $3^n \ge n^3$ by induction

Prove that $\sup(A+B) = \sup(A) + \sup(B)$ and why does $\sup(A+B)$ exist?

Alternative argument - set theory problem

Is there a Schur-Zassenhaus-free proof that $\Phi(G)$ cannot contain a Sylow subgroup of $G$?

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