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Erdős problem / erdos

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Problem 306

Exact records and bounded producer offers matched to this problem.

Current bounded offer

rank 3
availableerdos:306
Erdős 306
Advance Erdős problem 306 from its pinned statement, theorem and proof records, attempts, residual obligations, dependency context, and source locks; produce one decision-relevant artifact or an informative negative result without repeating banked routes.
  1. erdos:306
  2. site/problems/306.json
  3. erdos-frontier.problem-work.v1
Exact offer contractPacket, root, and verifier profile
erdos-frontier.problem-work.v1
site/problems/306.json
sha256:765f3f153350e313abc976a65339dbaecb10a245c5566c4155cc57b511da0947

Matching finding records

1 records
  1. vf_589ded7886b25876

    theoretical

    Erdős Problem #306: declared status 'open'. Formalized: yes. Let a/bQ>0a/b\in \mathbb{Q}_{>0} with bb squarefree. Are there integers 1<n1<<nk1<n_1<\cdots<n_k, each the product of two distinct primes, such thatab=1n1++1nk?\frac{a}{b}=\frac{1}{n_1}+\cdots+\frac{1}{n_k}? Prize: no. Tags: number theory, unit fractions.

    recordedOpen record