CONO-SUR 1997 Problem 3

Show that, exist infinite triples $(a, b, c)$ where $a, b, c$ are natural numbers, such that: $2a^2 + 3b^2 - 5c^2 = 1997$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.