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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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Problem row
sha256:346ed0b94296e8f1702ce44745bfc1bb2cc06c9eab7ea447c409577e8afa2f12
Metadata
sha256:8abc45eb2d1a30dd8854f0555bb2fc513840f1cb587a7bc612b021acd6636f5c
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:d2cc76871ccda287d50d28e7abb34d0fa804d4dcdd149767ac338f20bcab1b71
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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