A055398 Result of fourth stage of sieve of Eratosthenes (after eliminating multiples of 2, 3, 5, 7).

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 169, 173, 179, 181, 187, 191, 193, 197, 199, 209, 211, 221, 223, 227, 229, 233, 239

Offset

1,1

Comments

Essentially the same as A052424. - R. J. Mathar, Oct 13 2008

Links

Table of n, a(n) for n=1..58.

Ahmed Hamdy A. Diab, Sequence eliminating law (SEL) and the interval formulas of prime numbers, arXiv:2012.03052 [math.NT], 2020.

H. B. Meyer, Eratosthenes' sieve

Formula

a(n+4) = 2 * floor((3 * floor((10 * floor((9 * floor((56 * floor((55 * floor((54 * floor((53 * floor((52 * floor((51 * floor((50 * floor((49 * n + 1) / 48) + 13) / 49) + 20) / 50) + 24) / 51) + 31) / 52) + 35) / 53) + 42) / 54) + 54) / 55) + 1) / 8) + 8) / 9) + 1) / 2) + 1 for n>=1; see (22) in Diab link. - Michel Marcus, Dec 14 2020

Mathematica

Join[{2, 3, 5, 7}, Select[Table[n, {n, 2, 500}], Mod[#, 2]!=0&&Mod[#, 3]!=0&&Mod[#, 5]!=0&&Mod[#, 7]!=0&]] (* Vladimir Joseph Stephan Orlovsky, Feb 18 2011 *)

Crossrefs

Cf. A000040, A004280, A038179, A055396, A055399.

Sequence in context: A137589 A301378 A052424 * A070159 A322394 A295425

Adjacent sequences: A055395 A055396 A055397 * A055399 A055400 A055401

Keyword

nonn

Author

Henry Bottomley, May 15 2000

Status

approved