A057284 Numbers n such that n | 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n.

1, 2, 4, 11, 121, 142, 1331, 5269, 14641, 15332, 49444, 158447, 161051, 1005037, 1119337, 1246421, 1771561, 3380954, 19487171, 64581451, 127984967, 144492029, 214358881, 259650149, 295850687, 394178917, 2357947691

Offset

1,2

Links

Table of n, a(n) for n=1..27.

Mathematica

Select[ Range[ 10^6 ], Mod[ PowerMod[ 9, #, # ] + PowerMod[ 8, #, # ] + PowerMod[ 7, #, # ] + PowerMod[ 6, #, # ] + PowerMod[ 5, #, # ] + PowerMod[ 4, #, # ] + PowerMod[ 3, #, # ] + PowerMod[ 2, #, # ], # ] == 0 & ]
Select[Range[2000000], Divisible[Total[PowerMod[Range[2, 9], #, #]], #]&] (* Harvey P. Dale, Feb 05 2013 *)

Prog

(PARI) is(n)=my(n2=Mod(2, n)^n, n3=Mod(3, n)^n); n2+n3+n2^2+Mod(5, n)^n+n2*n3+ Mod(7, n)^n+n2^3+n3^2==0 \\ Charles R Greathouse IV, Feb 28 2012

Crossrefs

Sequence in context: A193565 A198864 A038093 * A156463 A227530 A218129

Adjacent sequences: A057281 A057282 A057283 * A057285 A057286 A057287

Keyword

nonn

Author

Robert G. Wilson v, Sep 22 2000

Extensions

a(14)-a(27) from Charles R Greathouse IV, Feb 28 2012

Status

approved