Question

On difference of two sums of two squares plus difference of two cubes

score 63 · Answer 1 · 2026-04-15 09:05:15

On difference of two sums of two squares plus difference of two cubes

Published on 15 Apr 2026 - 9:05

score 27 · Answer 2 · 2026-04-15 04:15:42

Are there integers nonzero integers $a,b,c,d,x,y,m,n,p$ such that $(a^2-mb^2)(c^2-nd^2)=x^2-py^2$? ($m,n,p)$ are square free non equal integers.

score 130 · Answer 3 · 2026-04-14 19:14:14

130

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Find a positive integer $i$ such that $9i + 1$ divides $2 \times 10^i - 1$

Published on 14 Apr 2026 - 19:14

score 1.3k · Answer 4 · 2026-04-16 12:20:43

1.3k

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Prove there are no integer solutions for $x^2 + 3y^2 = 8$

Published on 16 Apr 2026 - 12:20

score 74 · Answer 5 · 2026-04-15 23:42:35

74

Views

$\frac{ (359\cdot (109+215\cdot x)-1)}{10^x}=y$

Published on 15 Apr 2026 - 23:42

score 131 · Answer 6 · 2026-04-12 05:44:32

131

Views

Gcd of two numbers of the form $x^a-x^b$

Published on 12 Apr 2026 - 5:44

score 180 · Answer 7 · 2026-04-09 16:49:28

180

Views

Suppose the equation $ax+by=c$ has $m$ positive solutions. How many positive solutions does the equation $ax+by=c+ab$ have?

Published on 09 Apr 2026 - 16:49

score 121 · Answer 8 · 2026-04-15 18:23:14

121

Views

Determine the smallest $n$ such that $\frac{1}{x}+\frac{1}{y}=\frac{1}{n}$ has as positive integer solutions exactly $15$ pairs

Published on 15 Apr 2026 - 18:23

score 740 · Answer 9 · 2026-04-16 02:39:10

740

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Find the integer solution of the equation $x^3+y^3=x^2+y^2+42xy$

Published on 16 Apr 2026 - 2:39

score 136 · Answer 10 · 2026-04-09 15:28:03

136

Views

Finding the solutions of an equation in positive intgers

Published on 09 Apr 2026 - 15:28

score 113 · Answer 11 · 2026-04-15 03:13:30

113

Views

Integral right and isosceles triangles with equal area and perimeter

Published on 15 Apr 2026 - 3:13

score 46 · Answer 12 · 2026-04-15 23:47:33

46

Views

Why does $p \nmid m$ imply $\left(\frac{-4m^2} p\right) = \left(\frac{-1 } p\right)$?

Published on 15 Apr 2026 - 23:47

score 128 · Answer 13 · 2026-04-13 20:41:15

128

Views

Diophantine equation $3x^2+y^2=z$

Published on 13 Apr 2026 - 20:41

score 245 · Answer 14 · 2026-04-15 08:25:17

245

Views

Solve for integers $x, y$ and $z$: $x^2 + y^2 = z^3.$

Published on 15 Apr 2026 - 8:25

score 178 · Answer 15 · 2026-04-10 09:18:57

178

Views

Finding Lattice Points on a Sphere

Published on 10 Apr 2026 - 9:18

List Question

On difference of two sums of two squares plus difference of two cubes

Are there integers nonzero integers $a,b,c,d,x,y,m,n,p$ such that $(a^2-mb^2)(c^2-nd^2)=x^2-py^2$? ($m,n,p)$ are square free non equal integers.

Find a positive integer $i$ such that $9i + 1$ divides $2 \times 10^i - 1$

Prove there are no integer solutions for $x^2 + 3y^2 = 8$

$\frac{ (359\cdot (109+215\cdot x)-1)}{10^x}=y$

Gcd of two numbers of the form $x^a-x^b$

Suppose the equation $ax+by=c$ has $m$ positive solutions. How many positive solutions does the equation $ax+by=c+ab$ have?

Determine the smallest $n$ such that $\frac{1}{x}+\frac{1}{y}=\frac{1}{n}$ has as positive integer solutions exactly $15$ pairs

Find the integer solution of the equation $x^3+y^3=x^2+y^2+42xy$

Finding the solutions of an equation in positive intgers

Integral right and isosceles triangles with equal area and perimeter

Why does $p \nmid m$ imply $\left(\frac{-4m^2} p\right) = \left(\frac{-1 } p\right)$?

Diophantine equation $3x^2+y^2=z$

Solve for integers $x, y$ and $z$: $x^2 + y^2 = z^3.$

Finding Lattice Points on a Sphere

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