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Search: id:A111502
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| A111502 |
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Numbers n such that (n+j)^3-(n+j)^2+1 are primes for j=0 to 3. |
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+0 2
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| 33, 48, 203, 6648, 27048, 63293, 80288, 168348, 194298, 201178, 218888, 280103, 310828, 313668, 315448, 341893, 375298, 405958, 440643, 479668, 520058, 611868, 615893, 628068, 632533, 666973, 812888, 882728, 883643, 941143, 950983, 971158
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OFFSET
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1,1
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EXAMPLE
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33^3-33^2+1=34849 prime
34^3-34^2+1=38149 prime
35^3-35^2+1=41651 prime
36^3-36^2+1=45361 prime so n(1)=33
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MATHEMATICA
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fQ[n_] := Block[{j = {0, 1, 2, 3}}, Union@PrimeQ[(n + j)^3 - (n + j)^2 + 1] == {True}]; t = {}; Do[ If[ fQ[n], AppendTo[t, n]], {n, 1005807}] (* Robert G. Wilson v *)
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CROSSREFS
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Sequence in context: A070121 A070122 A111458 this_sequence A080933 A020293 A096278
Adjacent sequences: A111499 A111500 A111501 this_sequence A111503 A111504 A111505
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KEYWORD
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nonn
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AUTHOR
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Pierre CAMI (pierrecami(AT)tele2.fr), Nov 16 2005
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EXTENSIONS
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a(6)-a(32) from Robert G. Wilson v (rgwv(at)rgwv.com), Nov 18 2005
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