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A249751
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Numbers m such that m - 2 divides m^m + 2.
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3
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3, 4, 7, 8, 67, 260, 379, 1191, 1471, 5076, 25807, 58591, 103780, 134947, 137347, 170587, 203236, 272611, 285391, 420211, 453748, 538735, 540856, 592411, 618451, 680707, 778807, 1163067, 1306936, 1520443, 1700947, 1891336, 2099203, 2831011, 3481960, 4020031
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OFFSET
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1,1
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LINKS
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EXAMPLE
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3 is in this sequence because (3^3 + 2)/(3 - 2) = 29 is an integer.
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MATHEMATICA
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fQ[n_] := Mod[ PowerMod[ n, n, n - 2] + 2, n - 2] == 0; Select[ Range@ 4100000, fQ] (* Robert G. Wilson v, Dec 19 2014 *)
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PROG
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(Magma) [n: n in [3..10000] | Denominator((n^n+2)/(n-2)) eq 1];
(Python)
A249751_list = [n for n in range(3, 10**7) if n==3 or pow(n, n, n-2) == n-4]
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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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