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A188699
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Smallest positive even number in the sequence (k+1)^n (mod k^n) for k=1,2,3....
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1
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10, 46, 52, 15406, 450066, 117116, 225159022, 1872426, 680627620, 223657336, 147298, 589192, 11922706, 74527876206, 141991475986, 2377827762166, 584200732, 32196037719226, 4698165844, 18792663376, 2948912018446566, 175158375580, 700633502320, 708490569714927006, 2737249942690
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OFFSET
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3,1
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COMMENTS
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The corresponding value of k is in A188889.
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LINKS
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EXAMPLE
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a(3)=10 because (k+1)^3 = 10 (mod k^3) for k=3 but no smaller k.
a(4)=46 because (k+1)^4 = 46 (mod k^4) for k=5 but no smaller k.
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MATHEMATICA
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Table[k=1; While[r=Mod[(k+1)^n, k^n]; r==0 || OddQ[r], k++]; r, {n, 3, 30}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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