

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
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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



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



KEYWORD

nonn


AUTHOR



STATUS

approved



