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Erdős problem 15

Is it true that n=1(1)nnpn\sum_{n=1}^\infty(-1)^n\frac{n}{p_n} converges, where pnp_n is the sequence of primes?

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Problem row
sha256:f5542df8027d0787d8acc1540f4325df432819b9bf6a222a207957b5784c5984
Metadata
sha256:8848e808df7761ebabe3c66ba08d16185a6d961f186d821ed3340f1d54baa479
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:60968bf663d1aa46d60c10b6307689a8d8e704604c0c37517dde3dc6de3b6c20
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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