files / problems / two-smooth-summands / compute / certs / covering_search.json

15 KB · on GitHub

{
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      "covers_all_classes": false
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  "rough_short_interval": [
    {
      "alpha": 0.4,
      "limit": 50000,
      "first_rough_short_interval_holes": [
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      "n_recorded": 40,
      "stopped_early": true
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    {
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      "first_rough_short_interval_holes": [
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      "n_recorded": 40,
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  "even_reduction": {
    "identity": "if m=a+b then 2m=(2a)+(2b) and P+(2a)=max(2,P+(a))",
    "consequence": "F(n) <= max(2, F(odd_part(n)))",
    "does_not_remove_the_odd_obstruction": true
  },
  "is_dent": false,
  "reason": "No template covered every residue class at any alpha<1/2. Short-interval alpha=1/2 is the trivial covering. Holes are recorded in certs/covering_search.json."
}