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Search: id:A065863
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| A065863 |
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Remainder when n-th prime is divided by the number of nonprimes not exceeding n. |
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+0
3
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| 0, 0, 0, 1, 1, 1, 2, 3, 3, 5, 1, 2, 6, 3, 2, 3, 9, 6, 1, 11, 8, 9, 13, 14, 1, 16, 13, 12, 14, 13, 7, 5, 5, 1, 5, 1, 7, 7, 5, 5, 11, 7, 17, 13, 11, 7, 19, 25, 23, 19, 17, 17, 19, 23, 23, 23, 23, 19, 25, 23, 25, 29, 37, 35, 31, 29, 43, 43, 47, 43, 47, 47, 3, 2, 1, 53, 53, 55, 2, 3, 6, 1, 11, 6
(list; graph; listen)
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OFFSET
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1,7
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LINKS
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Harry J. Smith, Table of n, a(n) for n=1,...,1000
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FORMULA
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a(n) = Mod[Prime(n), n-Pi(n)] = Mod[A000040(n), A062298(n)]
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EXAMPLE
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n=25,p(25)=97, n-Pi[n]=25-9=16, a[25]=1 because 97=6.16+1
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PROGRAM
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(PARI) { for (n = 1, 1000, a=prime(n)%(n - primepi(n)); write("b065863.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Nov 02 2009]
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CROSSREFS
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Cf. A000040, A062298, A065858-A065864, A065134, A004648, A065133, A065134
Sequence in context: A118963 A127641 A106821 this_sequence A049272 A069461 A063256
Adjacent sequences: A065860 A065861 A065862 this_sequence A065864 A065865 A065866
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KEYWORD
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nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Nov 26 2001
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