List questions from diophantine-equations

Published on 15 Apr 2026 - 10:56

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Find the number of one-one functions $f:\{a,b,c,d\}\to\{0,1,2,3,...,10\}$ such that $2f(a)-f(b)+3f(c)+f(d)=0$.

Published on 16 Apr 2026 - 21:14

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Quick way to determine number of integer solutions of $10xy + x + 7y = 2298$?

Published on 24 Apr 2026 - 13:03

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Diophantine equation with class group techniques

Published on 10 May 2026 - 18:41

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Solving the Diophantine equation $4x^3 + 27y^2 - z^2 = 0$

Published on 16 Apr 2026 - 3:26

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On some Fermat triangles

Published on 17 Apr 2026 - 4:23

70

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Studying diophantine magic squares

Published on 11 Apr 2026 - 1:55

59

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Questions about positive integers $a,b,c$ s.t. $ab+1,bc+1,ca+1$ are perfect squares

Published on 10 Apr 2026 - 21:34

160

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When is $c^4+4bc^3-4b^4$ an integer square?

Published on 16 Apr 2026 - 5:54

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Find $q,r$ if $q^2+r=2000$

Published on 15 Apr 2026 - 7:33

216

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Integer solutions to $2^n - n = m^2$?

Published on 14 Apr 2026 - 21:40

334

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Generalization of $1988$ IMO #6

Published on 11 May 2026 - 5:17

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Solve the diophantine equation $b^2ac + b(c-a^2-1) +(7c -a) = 0$

Published on 13 Apr 2026 - 3:51

730

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Solutions of $x^3+y^3+z^3=42$

Published on 16 Apr 2026 - 3:21

80

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Trouble with singularity of bi-rational transformation (Quartic ↔ Elliptic Curve)

Published on 14 Apr 2026 - 7:50

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On Réalis’s solution of the “cubic Markov equation”

Find the number of one-one functions $f:\{a,b,c,d\}\to\{0,1,2,3,...,10\}$ such that $2f(a)-f(b)+3f(c)+f(d)=0$.

Quick way to determine number of integer solutions of $10xy + x + 7y = 2298$?

Diophantine equation with class group techniques

Solving the Diophantine equation $4x^3 + 27y^2 - z^2 = 0$

On some Fermat triangles

Studying diophantine magic squares

Questions about positive integers $a,b,c$ s.t. $ab+1,bc+1,ca+1$ are perfect squares

When is $c^4+4bc^3-4b^4$ an integer square?

Find $q,r$ if $q^2+r=2000$

Integer solutions to $2^n - n = m^2$?

Generalization of $1988$ IMO #6

Solve the diophantine equation $b^2ac + b(c-a^2-1) +(7c -a) = 0$

Solutions of $x^3+y^3+z^3=42$

Trouble with singularity of bi-rational transformation (Quartic ↔ Elliptic Curve)

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