>>142457391. Take some prime distribution approximation function
2. Take the derivative
3. Multiply it by a triangle function with a half-width of 1000 and a peak at x=1000
4. Integrate
5. Divide by the area under the triangle function (i.e. 1000)
In Wolfram Alpha:
integrate (log(x) - 2.08366)/(log(x) - 1.08366)^2*triangle((x-1000)/1000)/1000 for x from 5 to 2000
That's ~0.145.
