List questions from diophantine-equations

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305

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Hasse-Minkowski for cubic forms

Published on 15 Apr 2026 - 13:59

134

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How many solutions for $37+\frac{3(x-1)x}2+3^{x+2}=y^2\,$?

Published on 16 Apr 2026 - 21:31

467

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Is $x=2,y=13$ the unique solution?

Published on 12 Apr 2026 - 3:30

92

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Accessible natural numbers

Published on 11 Apr 2026 - 18:54

251

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Is there a $\triangle ABC$, with $D$ on $BC$, such that $AB$, $BC$, $CA$, $AD$, $BD$, $CD$ are all integers, but only one is even?

Published on 14 Apr 2026 - 12:18

210

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The Hasse principle for bivariate cubic forms

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217

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$24ml+1=k^2$ has no solution for all $l=1 \dots m$

Published on 16 Apr 2026 - 4:19

123

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Number of solutions number theory problem

Published on 12 Apr 2026 - 12:10

61

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Triple of primes satisfying 3 equations

Published on 15 Apr 2026 - 17:11

109

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Determining conditions on two circles inscribed in square so that a tangent rectangle has integer area

Published on 13 Apr 2026 - 20:37

49

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Solution or algorithm for linear diophantine equations with unit coefficients

Published on 31 Mar 2026 - 11:14

264

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Is there a perfect square number n, whose Euler Totient value is also a perfect square?

Published on 15 Apr 2026 - 20:31

302

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Odd factors of $a^2+3b^2$ have this same form, when $\gcd(a,b)=1$

Published on 14 Apr 2026 - 0:07

329

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Find exactly $3$ matching primitive Pythagorean triples for a given hypotenuse

Published on 15 Apr 2026 - 19:50

List Question

Finding the number of non-negative integral solution of a general equation.

Hasse-Minkowski for cubic forms

How many solutions for $37+\frac{3(x-1)x}2+3^{x+2}=y^2\,$?

Is $x=2,y=13$ the unique solution?

Accessible natural numbers

Is there a $\triangle ABC$, with $D$ on $BC$, such that $AB$, $BC$, $CA$, $AD$, $BD$, $CD$ are all integers, but only one is even?

The Hasse principle for bivariate cubic forms

$24ml+1=k^2$ has no solution for all $l=1 \dots m$

Number of solutions number theory problem

Triple of primes satisfying 3 equations

Determining conditions on two circles inscribed in square so that a tangent rectangle has integer area

Solution or algorithm for linear diophantine equations with unit coefficients

Is there a perfect square number n, whose Euler Totient value is also a perfect square?

Odd factors of $a^2+3b^2$ have this same form, when $\gcd(a,b)=1$

Find exactly $3$ matching primitive Pythagorean triples for a given hypotenuse

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