A219996 Centuries whose prime pattern is the same as prime pattern in the previous century.

473268, 726761, 1773440, 1808829, 1919129, 2131584, 2165421, 2339972, 2390653, 2518489, 2802592, 2844915, 2982585, 2996185, 3183264, 3193176, 3250987, 3418186, 3428242, 3633473, 3909325, 3953450, 4280456, 4303820, 4373400, 4658286, 4728654, 4978361, 5165403, 5254366

Offset

1,1

Comments

x belongs to this sequence if and only if the primality character of (100 * (x-1)) + k is the same as (100 * x) + k for all k = 0..99.

Links

Table of n, a(n) for n=1..30.

Formula

a(n) ~ n. In particular there are x - 200x/log x + O(x/log^2 x) members of this sequence below x. - Charles R Greathouse IV, Dec 09 2012

a(n) = A190639(n) + 1.

Crossrefs

Cf. A181098.

Cf. A190639 (lower century).

Sequence in context: A251370 A190639 A228271 * A183659 A213994 A201226

Adjacent sequences: A219993 A219994 A219995 * A219997 A219998 A219999

Keyword

nonn,base

Author

V. Raman, Dec 08 2012

Status

approved