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Erdős problem 479

Is it true that, for all k1k\neq 1, there are infinitely many nn such that 2nk(modn)2^n\equiv k\pmod{n}?

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Problem row
sha256:969f6f43f008d2ec5a0e63e486ac1923441ac62cbf8ba5cfbbcf8dee0b54a8a3
Metadata
sha256:8631d11eaca1ef9017416b6e8726b81239bf9eaf85ac0cf9dff386216a3bc766
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:ddfd81b221e0083dee39a3fe8127394ada8d8002a70b5d2a663e3fda6a92a5c7
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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