r/ErdosTasks

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#11Squarefree number plus power of 2no
OPENHARDnumber theoryadditive basis
Is every large odd integer $n$ the sum of a squarefree number and a power of 2?
Notes: Hercher (2024) confirmed it for all odd integers up to 2^{50} ~ 1.12 * 10^{15}. Granville and Soundararajan connected this to Wieferich primes.
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