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A066020
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a(n) is the smallest k such that (k^5 + 1)/(n^5 + 1) is an integer > 1.
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1
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3, 8, 27, 64, 125, 118, 343, 512, 729, 1000, 1331, 1728, 2197, 2744, 3375, 4096, 4913, 5832, 6859, 8000, 9261, 10648, 12167, 13824, 15625, 11663, 19683, 21952, 11189, 27000, 29791, 32768, 35937, 39304, 42875, 46656, 50653, 54872, 59319, 64000
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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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Do[k = 1; While[m = (k^5 + 1)/(n^5 + 1); m < 2 || !IntegerQ[m], k++ ]; Print[k], {n, 1, 40} ]
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PROG
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(PARI) { for (n=1, 200, f=n^5 + 1; a=n + 1; while (frac((a^5 + 1)/f) !=0, a++); write("b066020.txt", n, " ", a) ) } \\ Harry J. Smith, Nov 06 2009
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CROSSREFS
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KEYWORD
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easy,nonn
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AUTHOR
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STATUS
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approved
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