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A090121
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Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.
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9
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2, 129, 189, 369, 435, 549, 555, 561, 819, 1245, 1491, 1719, 1779, 1839, 1875, 1935, 2175, 2289, 2415, 2451, 2595, 2709, 2769, 3141, 3441, 4401, 4611, 4851, 5655, 5775, 6075, 6099, 6795, 6969, 7125, 7239, 7365, 8109, 8139, 8325, 8361, 8385, 8535, 8685, 9591
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OFFSET
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1,1
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LINKS
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FORMULA
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EXAMPLE
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n=129:{p=2146687,n^3=2146689,q=2146691}, q-p=4.
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MATHEMATICA
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pre[x_] := Prime[PrimePi[x]] nex[x_] := Prime[PrimePi[x]+1] de[x_] := Prime[PrimePi[x]+1]-Prime[PrimePi[x]] k=3; Do[If[Equal[Prime[PrimePi[n^k]+1]-Prime[PrimePi[n^k]], 4], Print[n]], {n, 2, 100000}]
Select[Range[2, 6100], NextPrime[#^3]-NextPrime[#^3, -1]==4&] (* Harvey P. Dale, Sep 17 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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EXTENSIONS
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STATUS
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approved
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