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Search: id:A004648
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| A004648 |
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a(n) = n-th prime read mod n. |
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+0
38
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| 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
(list; graph; listen)
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OFFSET
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1,3
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LINKS
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N. J. A. Sloane, Table of n, a(n) for n = 1..10000
Labos, E. Graph of first 50000 terms
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FORMULA
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a(n) = prime(n)-n*floor(prime(n)/n)
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MATHEMATICA
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Table[Mod[Prime[n], n], {n, 100}] (from Zak Seidov Apr 25 2005)
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PROGRAM
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(PARI) for(n=1, 100, print1(prime(n)%n, ", "))
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CROSSREFS
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1's occur at A023143, 2's at A023144, 3's at A023145, 4's at A023146, 5's at A023146, 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 this_sequence A139438 A135392 A071947
Adjacent sequences: A004645 A004646 A004647 this_sequence A004649 A004650 A004651
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), wild(AT)edumath.u-strasbg.fr (Daniel Wild)
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EXTENSIONS
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More terms from Clark Kimberling (ck6(AT)evansville.edu)
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