

A004648


a(n) = prime(n) mod n.


48



0, 1, 2, 3, 1, 1, 3, 3, 5, 9, 9, 1, 2, 1, 2, 5, 8, 7, 10, 11, 10, 13, 14, 17, 22, 23, 22, 23, 22, 23, 3, 3, 5, 3, 9, 7, 9, 11, 11, 13, 15, 13, 19, 17, 17, 15, 23, 31, 31, 29, 29, 31, 29, 35, 37, 39, 41, 39, 41, 41, 39, 45, 55, 55, 53, 53, 63, 65, 2, 69, 69, 71, 2, 3, 4, 3
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OFFSET

1,3


LINKS

N. J. A. Sloane, Table of n, a(n) for n = 1..10000
E. Labos, Graph of first 50000 terms


FORMULA

a(n) = prime(n)  n*floor(prime(n)/n)


MAPLE

A004648 := proc(n)
modp(ithprime(n), n) ;
end proc: # R. J. Mathar, Dec 02 2014


MATHEMATICA

Table[Mod[Prime[n], n], {n, 100}] (* Zak Seidov, Apr 25 2005 *)


PROG

(PARI) for(n=1, 100, print1(prime(n)%n, ", "))
(MAGMA) [(NthPrime(n) mod n): n in [1..100]]; // Vincenzo Librandi, Apr 06 2011
(Haskell)
a004648 n = a004648_list !! (n1)
a004648_list = zipWith mod a000040_list [1..]
 Reinhard Zumkeller, Jul 30 2012


CROSSREFS

1's occur at A023143, 2's at A023144, 3's at A023145, 4's at A023146, 5's at A023147, 6's at A023148, 7's at A023149, 8's at A023150, 9's at A023151, 10's at A023152, == 1's at A045924.
For records see A127149, A127150.
Sequence in context: A123185 A133569 A141071 * A265848 A139438 A135392
Adjacent sequences: A004645 A004646 A004647 * A004649 A004650 A004651


KEYWORD

nonn


AUTHOR

N. J. A. Sloane, Daniel Wild (wild(AT)edumath.ustrasbg.fr)


EXTENSIONS

More terms from Clark Kimberling
Corrected by Jaroslav Krizek, Dec 16 2009


STATUS

approved



