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A127459
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Prime numbers n such that there are no primes between n and n+n^(1/3).
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2
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3, 5, 7, 13, 19, 23, 31, 37, 43, 47, 53, 61, 73, 83, 89, 113, 131, 139, 151, 157, 167, 173, 181, 199, 211, 241, 283, 293, 317, 337, 359, 389, 401, 409, 421, 449, 467, 479, 491, 509, 523, 547, 577, 619, 631, 661, 691, 709, 773, 787, 797, 811, 829, 839, 863, 887
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OFFSET
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1,1
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COMMENTS
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LINKS
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MATHEMATICA
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a = {}; Do[If[(PrimePi[x + x^(1/3)] - PrimePi[x] == 0) && (PrimeQ[x]), AppendTo[a, x]], {x, 1, 20000}]; a
Select[Prime[Range[200]], PrimePi[#]==PrimePi[#+Surd[#, 3]]&] (* Harvey P. Dale, Sep 12 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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