|
Search: id:A102647
|
|
|
| A102647 |
|
a(n) = product of the remainders when the n-th prime is divided by primes up to the (n-1)-st prime. |
|
+0
6
|
|
| 0, 1, 2, 2, 8, 36, 288, 1920, 2880, 120960, 362880, 6386688, 34836480, 217728000, 3881779200, 275904921600, 1785411403776, 28217548800000, 608662978560000, 3492203839488000, 964122158039040000, 2224367550332928000
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
EXAMPLE
|
Prime(6) = 13, 13 mod 2 = 1, 13 mod 3 = 1, 13 mod 5 = 3, 13 mod 7 = 6, 13 mod 11 = 2 so a(6) = 1*1*3*6*2 = 36.
|
|
MATHEMATICA
|
f[n_] := Times @@ Mod[ Prime[n], Table[ Prime[i], {i, n - 1}]]; Table[ f[n], {n, 22}] (from Robert G. Wilson v Feb 04 2005)
|
|
CROSSREFS
|
Cf. A033955, A062347.
Sequence in context: A057132 A121197 A009543 this_sequence A060224 A111605 A009544
Adjacent sequences: A102644 A102645 A102646 this_sequence A102648 A102649 A102650
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Hans Boelens (h.p.m.boelens(AT)pl.hanze.nl), Feb 02 2005
|
|
EXTENSIONS
|
More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Feb 04 2005
|
|
|
Search completed in 0.002 seconds
|
