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A093547
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Numbers n such that n divides 3^n^2 - 1.
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1
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1, 2, 4, 8, 10, 16, 20, 32, 40, 50, 64, 68, 80, 100, 110, 128, 136, 160, 164, 200, 220, 250, 256, 272, 320, 328, 340, 400, 440, 500, 512, 544, 550, 610, 640, 656, 680, 772, 800, 820, 880, 1000, 1010, 1024, 1088, 1100, 1156, 1210, 1220, 1250, 1280, 1312, 1360
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OFFSET
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1,2
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COMMENTS
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This sequence is closed under multiplication. A067945 is a subsequence of this sequence.A067945 is also closed under multiplication. In fact if m is an integer and k is a natural number then the sequence " n divides m^n^k - 1 " is a subsequence of the sequence " n divides m^n^(k+1)- 1 " and both are closed under multiplication.
"Closed under multiplication" means that if x and y are terms then so it x*y.
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LINKS
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Table of n, a(n) for n=1..53.
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MATHEMATICA
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v={}; Do[If[IntegerQ[(3^n^2-1)/n], v=Append[v, n]; Print[v]], {n, 2500}]
Select[Range[1400], Divisible[3^#^2-1, #]&] (* Harvey P. Dale, Nov 04 2015 *)
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CROSSREFS
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Cf. A067945, A093546, A006521.
Sequence in context: A185064 A036975 A287178 * A068382 A356232 A025612
Adjacent sequences: A093544 A093545 A093546 * A093548 A093549 A093550
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KEYWORD
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nonn
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AUTHOR
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Farideh Firoozbakht, Mar 31 2004
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STATUS
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approved
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