|
Search: id:A124045
|
|
|
| A124045 |
|
Numbers n such that n^2 divide A123269(n) = Sum[ i^j^k, {i,1,n}, {j,1,n}, {k,1,n} ]. |
|
+0
1
|
| |
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
A123269(n) = Sum[ i^j^k, {i,1,n}, {j,1,n}, {k,1,n} ] = {1, 28, 7625731729896, ...}. Numbers n that divide A123269(n) are listed in A124391(n) = {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, 20, 21, 22, 23, 24, 27, 28, 31, 32, 33, 36, 40, 42, 43, ...}.
|
|
MATHEMATICA
|
Do[f=Sum[Mod[Sum[Mod[Sum[PowerMod[i, j^k, n^2], {i, 1, n}], n^2], {j, 1, n}], n^2], {k, 1, n}]; If[IntegerQ[f/n^2], Print[n]], {n, 1, 103}]
|
|
CROSSREFS
|
Cf. A123269, A124391, A039787, A086787.
Sequence in context: A000308 A018340 A018354 this_sequence A127315 A018359 A049383
Adjacent sequences: A124042 A124043 A124044 this_sequence A124046 A124047 A124048
|
|
KEYWORD
|
hard,more,nonn
|
|
AUTHOR
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 02 2006
|
|
|
Search completed in 0.002 seconds
|
