A057236 Numbers n such that n | 5^n + 4^n + 3^n.

1, 2, 3, 9, 10, 27, 50, 81, 230, 243, 250, 310, 610, 729, 1250, 1550, 2187, 3050, 4850, 6250, 6561, 7550, 7750, 9610, 15250, 18910, 19683, 20450, 31041, 31250, 31671, 35650, 37210, 37750, 38750, 48050, 58833, 59049, 76250, 94550

Offset

1,2

Links

Table of n, a(n) for n=1..40.

Mathematica

Select[ Range[ 10^5 ], Mod[ PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ], # ] == 0 & ]
Select[Range[100000], Mod[Total[PowerMod[Range[3, 5], #, #]], #]==0&] (* Harvey P. Dale, Feb 23 2023 *)

Crossrefs

Sequence in context: A003140 A057234 A109636 * A063257 A229492 A328970

Adjacent sequences: A057233 A057234 A057235 * A057237 A057238 A057239

Keyword

nonn

Author

Robert G. Wilson v, Sep 20 2000

Status

approved