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A112662 Cubes of the form semiprime(k) + k-th composite number. 3
8, 27, 64, 216, 343, 1000, 24389, 27000, 35937, 42875, 46656, 68921, 74088, 97336, 148877, 226981, 373248, 405224, 456533, 551368, 681472, 970299, 1191016, 1771561, 1860867, 2048383, 2352637, 3112136, 3375000, 4019679, 4410944 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Corresponding k's: 1, 6, 15, 50, 78, 219, 4803, 5303, 6973, 8261, 8968, 13058, 13972, 18210, 27426, 41167, ..., . - Robert G. Wilson v, Dec 30 2005
The corresponding cube roots: 2, 3, 4, 6, 7, 10, 29, ..., . - Robert G. Wilson v, Dec 30 2005
LINKS
MATHEMATICA
Composite[n_Integer] := FixedPoint[n + PrimePi@# + 1 &, n + PrimePi@n + 1]; fQ[n_] := Plus @@ Last /@ FactorInteger@n == 2; c = 0; t = {}; Do[ If[fQ[n], c++; a = n + Composite[c]; If[ IntegerQ[a^(1/3)], AppendTo[t, a]]], {n, 10^7}] (* Robert G. Wilson v *)
CROSSREFS
Sequence in context: A076969 A179163 A050462 * A121652 A112989 A018832
KEYWORD
nonn
AUTHOR
Giovanni Teofilatto, Dec 29 2005
EXTENSIONS
More terms from Robert G. Wilson v, Dec 30 2005
STATUS
approved

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Last modified May 30 04:46 EDT 2024. Contains 372958 sequences. (Running on oeis4.)