|
Search: id:A002068
|
|
|
| A002068 |
|
Wilson remainders: a(n) = ((p-1)!+1)/p mod p, where p=prime(n).
(Formerly M3728 N1524)
|
|
+0
3
|
|
| 1, 1, 0, 5, 1, 0, 5, 2, 8, 18, 19, 7, 16, 13, 6, 34, 27, 56, 12, 69, 11, 73, 20, 70, 70, 72, 57, 1, 30, 95, 71, 119, 56, 67, 94, 86, 151, 108, 21, 106, 48, 72, 159, 35, 147, 118, 173, 180, 113, 131, 169, 107, 196, 214, 177, 73, 121, 170, 25, 277, 164, 231, 271, 259, 288, 110
(list; graph; listen)
|
|
|
OFFSET
|
1,4
|
|
|
COMMENT
|
If this is zero, p is a Wilson prime (see A007540).
|
|
REFERENCES
|
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
R. Crandall and C. Pomerance, Prime Numbers: A Computational Perspective, Springer, NY, 2001; see p. 29.
C.-E. Froberg, Investigation of the Wilson remainders in the interval 3<=p<=50,000, Arkiv f. Matematik, 4 (1961), 479-481.
K. Goldberg, A table of Wilson quotients and the third Wilson prime, J. London Math. Soc., 28 (1953), 252-256.
J. Roberts, Lure of the Integers, Math. Assoc. America, 1992, p. 244.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n = 1..2000
|
|
MATHEMATICA
|
Table[p=Prime[n]; Mod[((p-1)!+1)/p, p], {n, 100}] - T. D. Noe (noe(AT)sspectra.com), Mar 21 2006
|
|
CROSSREFS
|
Sequence in context: A102259 A021200 A019904 this_sequence A021666 A143148 A081817
Adjacent sequences: A002065 A002066 A002067 this_sequence A002069 A002070 A002071
|
|
KEYWORD
|
nonn,nice,easy
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
