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A176870
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Prime numbers p such that p-LargestCube is prime, (LargestCube <= p).
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3
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3, 11, 13, 19, 29, 67, 71, 83, 101, 107, 127, 223, 227, 229, 233, 239, 257, 263, 269, 277, 283, 313, 317, 523, 541, 571, 601, 613, 619, 643, 661, 691, 709, 1013, 1019, 1031, 1061, 1097, 1103, 1109, 1151, 1163, 1181, 1193, 1223, 1229, 1277, 1283, 1307, 1733
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OFFSET
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1,1
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COMMENTS
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3-1^3=2, 11-2^3=3, 13-2^3=5, 29-3^3=2,..
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LINKS
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MATHEMATICA
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lst={}; Do[p=n-Floor[n^(1/3)]^3; If[PrimeQ[p]&&PrimeQ[n], AppendTo[lst, n]], {n, 7!}]; lst
Select[Prime[Range[300]], PrimeQ[#-Floor[Surd[#, 3]]^3]&] (* Harvey P. Dale, May 19 2019 *)
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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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