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Search: id:A107605
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| A107605 |
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Numbers n such that pp = prime(n) + n is a perfect power. |
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+0
4
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| 3, 5, 8, 9, 12, 86, 105, 147, 176, 214, 230, 241, 355, 412, 503, 696, 1065, 1147, 1170, 1273, 1334, 2021, 2455, 2600, 2660, 2772, 3299, 3332, 3365, 4417, 4861, 6288, 6478, 6572, 8115, 8858, 8905, 9229, 9380, 9590, 9692, 9749, 10501, 10829, 11338, 11633
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OFFSET
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1,1
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COMMENT
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Cf. A001597 = {1,4,8,9,16,25,27,32,36...} (Perfect powers: m^k where m is an integer and k >= 2.) Corresponding pp's in A107606.
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EXAMPLE
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pp = prime(8) + 8 = 19 + 8 = 27 = 3^4.
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MATHEMATICA
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f[n_] := Prime[n] + n; Select[Range[10^4], ! GCD @@ Last /@ FactorInteger[f[ # ]] == 1 &] (*Chandler*)
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CROSSREFS
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Cf. A001597, A107606, A107607, A107608.
Sequence in context: A107792 A051206 A081451 this_sequence A109314 A102529 A002159
Adjacent sequences: A107602 A107603 A107604 this_sequence A107606 A107607 A107608
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)yahoo.com), May 17 2005
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EXTENSIONS
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Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), May 21 2005
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