A223900 Li estimate of the number of primes in successive power of two intervals [2^i, 2^(i+1)) for i >= 1.

2, 3, 4, 6, 9, 15, 25, 44, 78, 141, 256, 471, 873, 1625, 3040, 5713, 10774, 20385, 38684, 73603, 140374, 268298, 513811, 985763, 1894365, 3646034, 7027395, 13562528, 26207171, 50698756, 98183852, 190335311, 369325054, 717272497, 1394195117, 2712106284, 5279770660, 10285644688

Offset: 1

Author

Brad Clardy, Mar 29 2013

Keywords

• nonn

Comments

The estimate is ceiling of Li(m) - Li(n) where m=2^(i+1) and n=2^i, i>=1.

Crossrefs

Cf. A223853, A036378.

Programs

Magma

for i := 1 to 100 do
    x:=2^i;
    y:=2^(i+1);
    Ceiling(LogIntegral(y)-LogIntegral(x));
end for;