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A088248
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Orders of twisted fields.
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2
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27, 64, 81, 125, 243, 256, 343, 512, 625, 729, 1024, 1331, 2187, 2197, 2401, 3125, 4096, 4913, 6561, 6859, 12167, 14641, 15625, 16384, 16807, 19683, 24389, 28561, 29791, 32768, 50653, 59049, 65536, 68921, 78125, 79507, 83521, 103823, 117649
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OFFSET
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1,1
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COMMENTS
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Subset of prime powers A000961. Subset of orders of semifields A088247.
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REFERENCES
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D. E. Knuth, ``Finite Semifields and Projective Planes'' Selected Papers on Discrete Mathematics, Center for the Study of Language and Information, Leland Stanford Junior University, CA, 2003, p336.
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LINKS
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FORMULA
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All p^k > 16, prime p, k>=3, except 2^q, q prime.
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MATHEMATICA
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okQ[n_] := Module[{f, p, k}, If[n <= 16, False, f = FactorInteger[n]; If[Length[f] > 1, False, {p, k} = First[f]; k >= 3 && Not[p == 2 && PrimeQ[k]]]]]; Select[Range[10^6], okQ] (* Jean-François Alcover, Jul 07 2015 *)
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CROSSREFS
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KEYWORD
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easy,nonn,nice
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AUTHOR
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STATUS
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approved
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