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Erdős problem 649

Let P(m)P(m) denote the greatest prime factor of mm. Is it true that, for any two primes p,qp,q, there exists some integer nn such that P(n)=pP(n)=p and P(n+1)=qP(n+1)=q?

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Problem row
sha256:13d4543be76c5c08915431c4b39a09a3a25cfd2ea70c5976bca9a209af23bd64
Metadata
sha256:96d95641f1817d904ea1b72e224da889a39305263d65d7878c974cfec1f5fc81
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:4d3454741111972360e641d8218cfba1ba8ce5835730b31ebbf0890d1a1eac5a
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207
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