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A111191
Numbers n such that ceiling(Pi^n - e^n) is prime.
0
2, 3, 4, 17, 19, 44, 97, 105, 116, 207, 432, 872, 1203, 2139, 3212
OFFSET
1,1
COMMENTS
No more terms through 10000.
EXAMPLE
ceiling(Pi^17 - e^17) = 258689611 is prime, hence 17 is a term.
MATHEMATICA
$MaxExtraPrecision = 10^6; Do[k = Ceiling[Pi^n - E^n]; If[PrimeQ[k], Print[n]], {n, 1, 10000}]
CROSSREFS
Sequence in context: A353164 A333835 A178683 * A333825 A115891 A359230
KEYWORD
nonn,hard,more
AUTHOR
Ryan Propper, Oct 23 2005
STATUS
approved