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A185092
Numbers k such that j^j == j^j^j (mod k) for every j.
0
1, 2, 3, 4, 6, 12
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OFFSET
1,2
COMMENTS
Divisors of 12. For k <= 16, we may compute membership directly (see Mathematica code). For k > 16, we have j = 2 as a counterexample. -
Eric M. Schmidt
, Aug 03 2014
LINKS
Table of n, a(n) for n=1..6.
MATHEMATICA
h1[mod_] := Table[PowerMod[i, i, mod], {i, 1, mod + LCM[mod*CarmichaelLambda[mod]]}]; h2[mod_] := Table[PowerMod[i, i^i, mod], {i, 1, mod + LCM[mod*CarmichaelLambda[mod]]}]; Union[Table[If[h1[i] == h2[i], Print[i]; i], {i, 1000}]]
CROSSREFS
Sequence in context:
A003099
A061941
A029505
*
A218337
A335993
A018309
Adjacent sequences:
A185089
A185090
A185091
*
A185093
A185094
A185095
KEYWORD
nonn
,
fini
,
full
AUTHOR
José María Grau Ribas
, Jan 23 2012
STATUS
approved
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Last modified May 7 14:53 EDT 2024. Contains 372310 sequences. (Running on oeis4.)