The power of this new Pell equation is a few things:
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It could help us rule out a bunch of possible answers when we use the new code posted.
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It shows us a new formula path to combining triangles and squares.
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It ties into methods we've already worked extensively on.
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It shows that semi-prime c values, and the respective a prime and b prime values are following this square + triangle pattern.
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VQC must have thought long and hard about how to give the next clue. If he is a real person, he knows he let us down. He just doesn't want to give the answer away at this point.
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He's banging his head on a wall somewhere in Londonistan bc we're so close.
I'm really taking about the Ideas, and the search for the correct ideas being narrowed down.
We have many talented programmers here.
What we lack is the Key. Wisdom, etc. He's drawing another connection without giving it away.
This is all I need. Just feed me good ideas and turn me loose. I'm doing this for fun and relaxation, not stress. Got plenty of that already.
We're back to 8Tu+1= (x+n)^2
I'm going to re-work factoring (x+n)^2 around this idea, working in the new ideas and equations looking for a connection. I know I'm on the right track, and have been for some time. Got everything saved and ready to re-examine.
I really think that playing with (f) and breaking it down into factors will unlock the puzzle.
I've had incredible success with small examples.
It combines d = (a+x) and our remainder e.
2d+1-e = f
2d+1 makes the next biggest square after c.
Etc.
I'm gonna Dig on these new ideas, lads. I'll let you know what I find.