login
A056741
Numbers n such that n | 5^n + 4^n + 3^n + 2^n + 1^n.
2
1, 3, 5, 9, 15, 25, 27, 45, 75, 81, 125, 135, 225, 243, 261, 295, 375, 405, 625, 675, 729, 925, 1125, 1215, 1875, 2025, 2187, 3125, 3375, 3645, 4077, 4833, 5139, 5625, 6075, 6345, 6561, 9375, 10125, 10935, 15625, 16875, 17895, 18125, 18225, 18495, 19683
OFFSET
1,2
LINKS
MATHEMATICA
Do[ If[ Mod[ PowerMod[ 5, n, n ] + PowerMod[ 4, n, n ] + PowerMod[ 3, n, n ] + PowerMod[ 2, n, n ] + 1, n ] == 0, Print[ n ] ], {n, 1, 10^6} ]
Select[Range[20000], Mod[Total[PowerMod[Range[0, 5], #, #]], #]==0&] (* Harvey P. Dale, Oct 09 2021 *)
CROSSREFS
Cf. A001552.
Sequence in context: A057251 A015965 A231114 * A057235 A057289 A056754
KEYWORD
nonn
AUTHOR
Robert G. Wilson v, Aug 25 2000
STATUS
approved