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Erdős problem 383

Is it true that for every kk there are infinitely many primes pp such that the largest prime divisor of i=0k(p2+i) \prod_{i = 0}^k (p ^ 2 + i) is pp?

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Problem row
sha256:6e23f1b7b4016e3d0db492cab33340d79f2f03911c9a438de92760b636e67ce1
Metadata
sha256:588e81e0274cfd0046a85876cedaf9d247ec5fed2e8acaaea7c2c11f6633d037
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:948e7b86aab0d4d80b183a57325c29d65328fd82ecd190cf3422dcd3b50abdf4
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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