A309359 Median of the primes p with 2^(n-1) < p < 2^n.

6, 12, 23, 47, 97, 191, 383, 761, 1523, 3049, 6107, 12252, 24376, 48877, 97777, 195659, 391623, 783257, 1566386, 3133974, 6269116, 12538053, 25082361, 50170976, 100353498, 200730129, 401498897, 803081460, 1606292647, 3212862108

Offset: 3

Author

Hugo Pfoertner, Jul 25 2019

Keywords

• nonn

Comments

For n >= 3, median of the primes with n binary digits. The median of an even number of values is assumed to be defined as the arithmetic mean of the two central elements in their sorted list. The special case of the primes with two binary digits {2, 3} is excluded, because their median would be 5/2.

Examples

			a(3) = 6: 2^2 < {5, 7} < 2^3, (5 + 7)/2 = 6.
a(4) = 12: 2^3 < {11, 13} < 2^4, (11 + 13)/2 = 12
a(5) = 23: 2^4 < {17, 19, 23, 29, 31} < 2^5, median = 23.
		

Links

• Hugo Pfoertner, Table of n, a(n) for n = 3..63

Crossrefs

Cf. A007053, A036378, A309329.