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A033553
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3-Knodel numbers or D-numbers: numbers n > 3 such that n | k^(n-2)-k for all k with gcd(k, n) = 1.
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11
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9, 15, 21, 33, 39, 51, 57, 63, 69, 87, 93, 111, 123, 129, 141, 159, 177, 183, 195, 201, 213, 219, 237, 249, 267, 291, 303, 309, 315, 321, 327, 339, 381, 393, 399, 411, 417, 447, 453, 471, 489, 501, 519, 537, 543, 573, 579, 591, 597, 633, 669, 681, 687, 693
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listen;
history;
text;
internal format)
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..54.
Eric Weisstein's World of Mathematics, D-Number.
Eric Weisstein's World of Mathematics, Knoedel Numbers.
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MAPLE
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with(numtheory);
knodel:=proc(i, k)
local a, n, ok;
for n from k+1 to i do
ok:=1;
for a from 1 to n do
if gcd(a, n)=1 then if (a^(n-k) mod n)<>1 then ok:=0; break; fi; fi;
od;
if ok=1 then print(n); fi;
od;
end:
knodel(1000, 3) # Paolo P. Lava, Feb 24 2012
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CROSSREFS
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Cf. A002997, A050990, A050992, A050993, A208154-A208158.
Sequence in context: A175626 A096788 A050991 * A020192 A063174 A072569
Adjacent sequences: A033550 A033551 A033552 * A033554 A033555 A033556
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KEYWORD
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nonn
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AUTHOR
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David W. Wilson
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EXTENSIONS
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Edited by N. J. A. Sloane, May 07 2007
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STATUS
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approved
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