A057239 Numbers n such that n | 12^n + 11^n + 10^n + 9^n.

1, 2, 3, 7, 9, 21, 27, 49, 57, 63, 81, 119, 147, 171, 189, 243, 343, 399, 441, 446, 513, 567, 729, 1029, 1083, 1197, 1323, 1539, 1701, 2187, 2401, 2793, 2943, 2979, 3087, 3249, 3591, 3969, 4617, 5103, 5831, 6561, 7047, 7203, 7581, 7791, 8001, 8379, 8829

Offset

1,2

Links

Table of n, a(n) for n=1..49.

Mathematica

Select[ Range[ 1, 10^5 ], Mod[ PowerMod[ 12, #, # ] + PowerMod[ 11, #, # ] + PowerMod[ 10, #, # ] + PowerMod[ 9, #, # ], # ] == 0 & ]

Crossrefs

Sequence in context: A218909 A225202 A046152 * A319911 A024541 A250267

Adjacent sequences: A057236 A057237 A057238 * A057240 A057241 A057242

Keyword

nonn

Author

Robert G. Wilson v, Sep 20 2000

Status

approved