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Erdős problem 1142

Are there infinitely many n>2n > 2 such that n2kn - 2^k is prime for all k1k \geq 1 with 2k<n2^k < n?

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Problem row
sha256:54fdbd8c42b21ef5449a9e03063ab6fc0a87e16a92e93df82c6adb6d221e7b25
Metadata
sha256:159778fd45d848717be861a897a61dd2200f401f572a22c355f2cd48139dfe04
Observation
sha256:8c823d621b7e1256c8e47c60a5f1c54c016a5507e6f27b2bab537f6f5f232067
Content
sha256:b41032155510841220e74768f33c383c475bb92e4b998108e37b0ca22a23283d
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:c9d14c459c518937e758918b5897dc3b22f1a55f07739afe99502f5b046c907a
Source commit
2415f78e850aeee50afdca525c6f2e0ea606f207

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