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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
}
]
}
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