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Search: id:A111191
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| A111191 |
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Numbers n such that ceiling(pi^n - e^n) is prime. |
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+0
1
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| 2, 3, 4, 17, 19, 44, 97, 105, 116, 207, 432, 872, 1203, 2139, 3212
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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No more terms through 10000.
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EXAMPLE
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ceiling(pi^17 - e^17) = 258689611 is prime, hence 17 is a term.
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MATHEMATICA
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$MaxExtraPrecision = 10^6; Do[k = Ceiling[Pi^n - E^n]; If[PrimeQ[k], Print[n]], {n, 1, 10000}]
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CROSSREFS
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Sequence in context: A095261 A066103 A004833 this_sequence A115891 A037394 A037430
Adjacent sequences: A111188 A111189 A111190 this_sequence A111192 A111193 A111194
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KEYWORD
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hard,nonn
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AUTHOR
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Ryan Propper (rpropper(AT)stanford.edu), Oct 23 2005
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