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 A143031 A sequence of asymptotic density zeta(5) - 1, where zeta is the Riemann zeta function. 10
 15, 47, 79, 111, 143, 158, 175, 207, 239, 271, 303, 320, 335, 367, 399, 431, 463, 495, 527, 559, 591, 623, 644, 655, 687, 719, 751, 783, 806, 815, 847, 879, 911, 943, 975, 1007, 1039, 1071, 1103, 1130, 1135, 1167, 1199, 1231, 1263, 1292, 1295, 1327, 1359 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Made up of a collection of mutually exclusive residue classes modulo multiples of factorials. A set of such sequences with entries for each zeta(k) - 1 partitions the integers. See the linked paper for their construction. LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 William J. Keith, Sequences of Density zeta(K) - 1, INTEGERS, Vol. 10 (2010), Article #A19, pp. 233-241. Also arXiv preprint, arXiv:0905.3765 [math.NT], 2009 and author's copy. MATHEMATICA f[n_] := Module[{k = n - 1, m = 2, r}, While[{k, r} = QuotientRemainder[k, m]; r != 0, m++]; IntegerExponent[k + 1, m] + 2]; Select[Range[1400], f[#] == 5 &] (* Amiram Eldar, Feb 15 2021 after Kevin Ryde at A161189 *) CROSSREFS Cf. A143028, A143029, A143030, A143032, A143033, A143034, A143035, A143036, A161189, A339013. Sequence in context: A045111 A031451 A105572 * A214675 A166118 A063396 Adjacent sequences: A143028 A143029 A143030 * A143032 A143033 A143034 KEYWORD nonn AUTHOR William J. Keith, Jul 18 2008 STATUS approved

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Last modified May 26 08:37 EDT 2024. Contains 372815 sequences. (Running on oeis4.)