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A214001
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Numbers n such that n^2+2, n^3+2, n^4+2 and n^5+2 are all prime.
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0
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0, 1, 909, 2055, 11925, 145881, 191079, 254199, 358875, 490215, 614241, 642105, 648261, 689655, 864159, 959595, 1030911, 1047585, 1056981, 1150335, 1366971, 1406571, 1669845, 1746525, 2299485, 2357751, 2491809, 2494329, 2629869, 2876859, 3162159, 3220041, 3257595
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OFFSET
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1,3
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COMMENTS
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n^6+2 is also prime for n = 0, 1, 1746525, 2876859, …
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LINKS
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MATHEMATICA
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Select[Range[3500000], And@@PrimeQ/@(Table[n^i+2, {i, 2, 5}]/.n->#)&]
Select[Range[0, 33*10^5], AllTrue[#^Range[2, 5]+2, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Jul 21 2018 *)
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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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