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 A065134 Remainder when n is divided by the number of primes not exceeding n. 10
 0, 1, 0, 2, 0, 3, 0, 1, 2, 1, 2, 1, 2, 3, 4, 3, 4, 3, 4, 5, 6, 5, 6, 7, 8, 0, 1, 9, 0, 9, 10, 0, 1, 2, 3, 1, 2, 3, 4, 2, 3, 1, 2, 3, 4, 2, 3, 4, 5, 6, 7, 5, 6, 7, 8, 9, 10, 8, 9, 7, 8, 9, 10, 11, 12, 10, 11, 12, 13, 11, 12, 10, 11, 12, 13, 14, 15, 13, 14, 15, 16, 14, 15, 16, 17, 18, 19, 17, 18, 19 (list; graph; refs; listen; history; text; internal format)
 OFFSET 2,4 COMMENTS Also remainder when the number of nonprimes is divided by the number of primes (not exceeding n). LINKS Harry J. Smith, Table of n, a(n) for n = 2..1000 FORMULA a(n) = n (mod pi(n)). EXAMPLE n = 2: Pi[2] = 1,Mod[1,1] = 0, the first term = a(2) = 0; n = 100: Pi[100] = 25, Mod[100,25] = 0 = a(100); n = 20: Pi[20] = 8, Mod[20,8] = 4 = a(20). MATHEMATICA Table[Last@ QuotientRemainder[n, PrimePi[n]], {n, 2, 91}] (* Michael De Vlieger, Jul 04 2016 *) PROG (PARI) { for (n=2, 1000, write("b065134.txt", n, " ", n%primepi(n)) ) } \\ Harry J. Smith, Oct 11 2009 CROSSREFS Cf. A000720, A057809, A057810, A000040, A065134, A004648, A062298, A065858-A065864, A065133. Sequence in context: A079067 A160271 A274912 * A088673 A236138 A035614 Adjacent sequences:  A065131 A065132 A065133 * A065135 A065136 A065137 KEYWORD nonn AUTHOR Labos Elemer, Oct 15 2001 EXTENSIONS Term a(1) removed so OFFSET changed from 1,5 to 2,4 by Harry J. Smith, Oct 11 2009 Since OFFSET is 2,4; Term a(1) removed and a(91) added by Harry J. Smith, Oct 11 2009 STATUS approved

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Last modified April 23 06:08 EDT 2019. Contains 322381 sequences. (Running on oeis4.)