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 4 The diophantine equation $a^2+ab-b^2=0$ 4 Find all integers satisfying $m^2=n_1^2+n_1n_2+n_2^2$ 2 Is every sufficiently large positive integer of the form $ab + ac + bc + 1$? 2 Parametric solutions to $(4/3)b^2c^2+(4/3)a^2d^2-(1/3)a^2c^2-(4/3)b^2d^2=\square$ 2 Solve $3x^2-y^2=2$ for Integers

# 992 Reputation

 +5 Project Euler - task №390. +10 Is every sufficiently large positive integer of the form $ab + ac + bc + 1$? +10 If $(m,n)\in\mathbb Z_+^2$ satisfies $3m^2+m = 4n^2+n$ then $(m-n)$ is a perfect square. +10 Number of solution for $xy +yz + zx = N$

# 12 Questions

 1 Diophantine equation. Three. 1 Diophantine equation with cubes. 1 Another triple. 1 One Diophantine equation 0 The sum of the cubes and the amount of combinations.

# 56 Tags

 38 diophantine-equations × 124 4 reference-request × 2 31 elementary-number-theory × 71 4 conjectures × 2 27 number-theory × 112 3 algebra-precalculus × 7 8 quadratic-forms × 19 3 square-numbers × 4 4 algebraic-number-theory × 2 2 prime-numbers × 5

# 3 Accounts

 Mathematics 992 rep 117 MathOverflow 163 rep 113 Mathematica 101 rep