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A166604
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Numbers k such that Sum_{i=1..k} i^4 divides Product_{i=1..k} i^4.
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8
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1, 31, 59, 94, 104, 122, 133, 181, 206, 223, 244, 248, 283, 298, 318, 342, 356, 401, 406, 421, 422, 439, 444, 449, 451, 469, 479, 493, 496, 507, 528, 532, 536, 541, 555, 597, 631, 637, 643, 668, 701, 706, 712, 717, 721, 722, 754, 762, 795, 797, 801, 815, 842
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OFFSET
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1,2
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LINKS
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EXAMPLE
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MATHEMATICA
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k = s = 1; p = 1; lst = {}; While[k < 1000, If[ Mod[p, s] == 0, AppendTo[lst, k]]; k++; s = s + k^4; p = p*k^4]; lst (* Robert G. Wilson v, Nov 02 2009 *)
Module[{nn=1000, c}, c=Range[nn]^4; Select[Range[nn], Divisible[Times@@ Take[ c, #], Total[Take[c, #]]]&]] (* Harvey P. Dale, Dec 18 2013 *)
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CROSSREFS
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Cf. A125314, A166602, A060462, A166605, A166606, A166607, A166608, A166609, A166610, A181426, A334734.
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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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