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Erdős problem 931

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Let k1≥k2≥3k_1 \geq k_2 \geq 3. Are there only finitely many n2≥n1+k1n_2\geq n_1 + k_1 such that ∏1≤i≤k1(n1+i) and ∏1≤j≤k2(n2+j) \prod_{1\leq i\leq k_1}(n_1 + i)\ \text{and}\ \prod_{1\leq j\leq k_2} (n_2 + j) have the same prime factors?

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How far the record reaches3 of 6 stages
  1. Sourceerdos-problems
  2. StatementRetained
  3. Formal4 retained
  4. ResolutionNone filed
  5. WorkNone recorded
  6. DecisionNone here
  7. The questionNot reached
What this record is missingResolution

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Number Theory576
Erdős problem 321accepted
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