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From: TPiezas on 9 Apr 2010 00:18
Hello all,

Is the "relationship" between the Diophantine eqns,

(2x-1)^2 + 7 = 2^n (eq.1)

2x^2(x^2-1) = 3(y^2-1) (eq.2)

the COMPLETE soln of BOTH in the positive integers as x = {1,2,3,6,91}
really just a "coincidence"? Eq.1, of course, is the well-known
Ramanujan-Nagell eqn.

Q. Any other examples of two Diophantine eqns (with one well-known)
such that both have the same soln set with at least one element that
is large?

See: http://sites.google.com/site/tpiezas/updates04

- Titus



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