|
Search: id:A056214
|
|
|
| A056214 |
|
Primes p for which the period of reciprocal = (p-1)/9. |
|
+0
3
|
|
| 73, 1423, 1459, 2377, 2503, 3457, 7741, 9433, 10891, 10909, 16057, 17299, 17623, 20269, 21313, 22699, 24103, 26263, 28621, 28927, 29629, 30817, 32257, 34273, 34327, 35461, 35731, 36343, 36793, 37549, 37567, 37657, 38737, 39367, 39979
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Cyclic numbers of the ninth degree (or ninth order): the reciprocals of these numbers belong to one of nine different cycles. Each cycle has the (number minus 1)/9 digits.
|
|
LINKS
|
Index entries for sequences related to decimal expansion of 1/n
|
|
MATHEMATICA
|
f[n_Integer] := Block[{ds = Divisors[n - 1]}, (n - 1)/Take[ ds, Position[ PowerMod[ 10, ds, n], 1] [[1, 1]]] [[ -1]]]; Select[ Prime[ Range[4, 5000]], f[ # ] == 9 &]
|
|
CROSSREFS
|
Sequence in context: A090685 A008392 A098676 this_sequence A017789 A017736 A093273
Adjacent sequences: A056211 A056212 A056213 this_sequence A056215 A056216 A056217
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 02 2000
|
|
EXTENSIONS
|
Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 30 2007
|
|
|
Search completed in 0.002 seconds
|
