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A176865
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Numbers n such that n-LargestCube is prime, (LargestCube <= n).
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4
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3, 4, 6, 10, 11, 13, 15, 19, 21, 25, 29, 30, 32, 34, 38, 40, 44, 46, 50, 56, 58, 66, 67, 69, 71, 75, 77, 81, 83, 87, 93, 95, 101, 105, 107, 111, 117, 123, 127, 128, 130, 132, 136, 138, 142, 144, 148, 154, 156, 162, 166, 168, 172, 178, 184, 186, 192, 196, 198, 204
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OFFSET
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1,1
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LINKS
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EXAMPLE
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3-1^3=2, 4-1^3=3, ..., 10-2^3=2, 11-2^3=3, ..., 29-3^3=2, ....
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MATHEMATICA
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lst={}; Do[p=n-Floor[n^(1/3)]^3; If[PrimeQ[p], AppendTo[lst, n]], {n, 6!}]; lst
Select[Range[300], PrimeQ[#-Floor[Surd[#, 3]]^3]&] (* Harvey P. Dale, May 31 2017 *)
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PROG
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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