Question

Under what conditions on $a,b,c$ is the sum $a^3 + b^3 + c^3$ strictly greater than $(a+b+c)^2$?

score 40 · Answer 1 · 2026-04-16 06:14:50

40

Views

Under what conditions on $a,b,c$ is the sum $a^3 + b^3 + c^3$ strictly greater than $(a+b+c)^2$?

Published on 16 Apr 2026 - 6:14

score 41 · Answer 2 · 2026-04-12 05:11:28

41

Views

Divisibility Check in different Moduli

Published on 12 Apr 2026 - 5:11

score 84 · Answer 3 · 2026-04-14 20:30:31

84

Views

Derivation of the Frey curve for $a^2+b^6=c^p$

Published on 14 Apr 2026 - 20:30

score 103 · Answer 4 · 2026-04-16 08:33:04

103

Views

the number $\sqrt{1+5^n+6^n+11^n}$ is an integer

Published on 16 Apr 2026 - 8:33

score 810 · Answer 5 · 2026-04-14 02:19:21

810

Views

The $n$-th root of $2$ is irrational for $n>1$, and $\lim_{n\to\infty}\sqrt[n]{2}=1$. Is the latter fact a corollary of the former?

Published on 14 Apr 2026 - 2:19

score 838 · Answer 6 · 2026-05-10 15:03:35

838

Views

Proof that $5$ is a quadratic residue $(\mod p)$ with $p$ odd prime iif $p \equiv \pm 1 \mod 10$

Published on 10 May 2026 - 15:03

score 99 · Answer 7 · 2026-04-15 04:16:46

99

Views

Why is every prime except 2 and 5 a divisor of some 99...99?

Published on 15 Apr 2026 - 4:16

score 327 · Answer 8 · 2026-04-14 00:16:47

327

Views

About the parity of $ord_p(7)$

Published on 14 Apr 2026 - 0:16

score 203 · Answer 9 · 2026-04-16 08:21:41

203

Views

If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$

Published on 16 Apr 2026 - 8:21

score 49 · Answer 10 · 2026-04-10 13:27:18

49

Views

How can I reduce exponents in a field with modulo 7?

Published on 10 Apr 2026 - 13:27

score 36 · Answer 11 · 2026-04-11 20:35:53

36

Views

Finding a congruence chain (linear and quadratic) equivalent to a polynomial

Published on 11 Apr 2026 - 20:35

score 233 · Answer 12 · 2026-05-11 08:29:39

233

Views

The first digit and the last three digits of tower of exponents

Published on 11 May 2026 - 8:29

score 323 · Answer 13 · 2026-04-14 16:03:30

323

Views

Solving the Diophantine equation $y^2 = 4x^3 + 1$ for $x,y \in \mathbb{Z}$

Published on 14 Apr 2026 - 16:03

score 401 · Answer 14 · 2026-05-07 18:59:22

401

Views

Solving the homogeneous Diophantine equation $x^3 + 2y^3 = 7z^3$ for $x,y,z \in \mathbb{Q}$

Published on 07 May 2026 - 18:59

score 314 · Answer 15 · 2026-04-11 15:43:35

314

Views

Bourbaki and zero

Published on 11 Apr 2026 - 15:43

List Question

Under what conditions on $a,b,c$ is the sum $a^3 + b^3 + c^3$ strictly greater than $(a+b+c)^2$?

Divisibility Check in different Moduli

Derivation of the Frey curve for $a^2+b^6=c^p$

the number $\sqrt{1+5^n+6^n+11^n}$ is an integer

The $n$-th root of $2$ is irrational for $n>1$, and $\lim_{n\to\infty}\sqrt[n]{2}=1$. Is the latter fact a corollary of the former?

Proof that $5$ is a quadratic residue $(\mod p)$ with $p$ odd prime iif $p \equiv \pm 1 \mod 10$

Why is every prime except 2 and 5 a divisor of some 99...99?

About the parity of $ord_p(7)$

If $a\mid b$ and $b\mid a$, $a,b\in R$, show that $\exists w \in R^\times$ with $b=wa$

How can I reduce exponents in a field with modulo 7?

Finding a congruence chain (linear and quadratic) equivalent to a polynomial

The first digit and the last three digits of tower of exponents

Solving the Diophantine equation $y^2 = 4x^3 + 1$ for $x,y \in \mathbb{Z}$

Solving the homogeneous Diophantine equation $x^3 + 2y^3 = 7z^3$ for $x,y,z \in \mathbb{Q}$

Bourbaki and zero

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