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Jul 9, 2021 at 13:36 comment added Bogdan You predict that equations of type (6) may have enormous size. Well, assume for a moment that we do not know Vieta jumping obstruction. Then even for h=22 there is an equation with no solutions found for which heuristics predict there should be many solutions of reasonable size. So, it would be of type (6), and only the fact that we know Vieta jumping technique moves it to type (2). I assume that there might be equations with h in range from 26 to 40 which have no solutions for yet-to-be discovered obstructions and are therefore currently of type (6).
May 17, 2021 at 19:10 history answered Will Sawin CC BY-SA 4.0