Simple code:
var('n k')
assume(n > 0)
assume(k > 0)
assume(n > k)
eqn = n^2 - (k^2 + k) == 30
print(solve_diophantine(eqn, (n,k)))
This outputs:
[(30, -30), (-6, 2), (-6, -3), (6, 2), (6, -3), (-30, 29), (-30, -30), (30, 29)]
which contains solutions where each of the assumptions is skipped (including at least one where all three assumptions are not met). Can anyone help explain what might be happening here?
