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A111190
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Numbers k such that floor(Pi^k - e^k) is prime.
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0
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OFFSET
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1,1
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COMMENTS
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No more terms through 10000.
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LINKS
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EXAMPLE
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floor(Pi^6 - e^6) = 557 is prime, hence 6 is a term.
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MATHEMATICA
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$MaxExtraPrecision = 10^6; Do[k = Floor[Pi^n - E^n]; If[PrimeQ[k], Print[n]], {n, 1, 10000}]
Select[Range[6000], PrimeQ[Floor[Pi^#-E^#]]&] (* Harvey P. Dale, Jun 02 2014 *)
ParallelTable[If[PrimeQ[Floor[Pi^k-E^k]], k, Nothing], {k, 0, 9*10^4}]//.{}->Nothing (* J.W.L. (Jan) Eerland, Sep 29 2022 *)
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CROSSREFS
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KEYWORD
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nonn,hard,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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