Erdős problem 251 · problems.science

Is $\sum_{n=1}^\infty \frac{p_n}{2^n}$ irrational? Here $p_n$ is the $n$ -th prime ( $p_1=2, p_2=3, \dots$ ).

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Technical detailsExact roots, source, and retained record identifiers

Problem row: sha256:4c77559fc76bb350dd8aa4ce2cfb718079af3961aaf2cef7705c82d2cd844ba2
Metadata: sha256:489030a2998957d4d4b653be8b9b60141945e8fdd46b2708915caa0ebc00da30
Observation: sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content: sha256:9faebc05e73665c319dc65fa35227bc040a06b99ca82eb1359d700950b3141ea

Repository: sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection: sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit: 2415f78e850aeee50afdca525c6f2e0ea606f207