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A138065
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Numbers n such that n^0+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4+(n+5)^5+(n+6)^6+(n+7)^7+(n+8)^8+(n+9)^9+(n+10)^10+(n+11)^11 is a prime.
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2
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26, 36, 40, 96, 152, 178, 246, 262, 276, 310, 360, 496, 568, 572, 586, 646, 654, 694, 706, 738, 808, 822, 828, 852, 898, 976, 988, 1010, 1060, 1090, 1160, 1182, 1206, 1226, 1240, 1262, 1354, 1368, 1448, 1452, 1504, 1536, 1584, 1644, 1758, 1776, 1816, 1962
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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a={}; Do[If[PrimeQ[n^70+(n+1)^1+(n+2)^2+(n+3)^3+(n+4)^4+(n+5)^5+(n+6)^6+(n+7)^7+(n+8)^8+(n+9)^9+(n+10)^10+(n+11)^11], AppendTo[a, n]], {n, 10^3}]; a
Select[Range[5000], PrimeQ[1+Total[Table[(#+i)^i, {i, 11}]]]&] (* Harvey P. Dale, May 01 2017 *)
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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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