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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

erdos_699_further_intervals_18.json

json
{
  "scope": "Interval certificate, using a separate finite prime-power certificate; no row enumeration.",
  "finite_pair_certificate_file": "erdos_699_prime_pair_strips_k6.json",
  "gap_data_file": "erdos_699_prime_gap_records.json",
  "maximum_nodes_per_index": 2000000,
  "records": [
    {
      "i": 18,
      "terminal_prime_lower_row": 887,
      "inclusive_cap_power_of_ten": 37,
      "visited_intervals": 494115,
      "certified_intervals": 247058,
      "intervals_requiring_local_prime_pairs": 124961,
      "minimal_prime_pair_vectors": 6,
      "minimum_certified_log_margin": "0.000028331945486687112311862842845207351396481308461874457",
      "interval_partition_sha256": "496748fd3f256a92e5631ba49804ae7dcc065e9c84bbdc71310c7e2fcfcd0737",
      "exact_singleton_rows": [],
      "total_partition_leaves": 247058,
      "conclusion": "no bad triples",
      "finite_prime_pairs": [
        [
          2,
          3
        ],
        [
          2,
          5
        ],
        [
          2,
          7
        ],
        [
          2,
          11
        ],
        [
          2,
          13
        ],
        [
          3,
          5
        ],
        [
          3,
          7
        ],
        [
          3,
          11
        ],
        [
          3,
          13
        ],
        [
          5,
          7
        ],
        [
          5,
          11
        ],
        [
          5,
          13
        ],
        [
          7,
          11
        ],
        [
          7,
          13
        ],
        [
          11,
          13
        ]
      ],
      "original_numerical_cap_power_of_ten": 700000,
      "cofactor_saving_scaled": 16665,
      "finite_pair_row_threshold": 73516023,
      "exact_singleton_limit": 10000,
      "exact_columns_checked": 0
    }
  ]
}