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Search: id:A128835
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| A128835 |
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Numbers n such that n^n == 2 (mod 7), or 7 divides n^n-2. |
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+0
1
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| 11, 16, 32, 37, 38, 40, 53, 58, 74, 79, 80, 82, 95, 100, 116, 121, 122, 124, 137, 142, 158, 163, 164, 166, 179, 184, 200, 205, 206, 208, 221, 226, 242, 247, 248, 250, 263, 268, 284, 289, 290, 292, 305, 310, 326, 331, 332, 334, 347, 352, 368, 373, 374, 376, 389
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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First differences have a cycle {5,16,5,1,2,13}.
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FORMULA
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a(1)=11, a(2)=16, a(3)=32, a(4)=37, a(5)=38, a(6)=40; n>=7: a(n)=a(n-6)+42.
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EXAMPLE
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11^11=285311670611=7*40758810087+2,
16^16=18446744073709551616=7*2635249153387078802+2.
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MATHEMATICA
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Select[Range[500], PowerMod[ #, #, 7]==2&]
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CROSSREFS
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Sequence in context: A131858 A110031 A109307 this_sequence A032311 A032221 A032146
Adjacent sequences: A128832 A128833 A128834 this_sequence A128836 A128837 A128838
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KEYWORD
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nonn
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AUTHOR
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Zak Seidov (zakseidov(AT)gmail.com), Apr 14 2007
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