Elliott–Halberstam conjecture

The original Elliott-Halberstam conjecture is not clearly stated in their paper, but can be inferred there from (1) page 59 and the comment above the Theorem on page 62. It says that :\sum_{q\le x}\varphi(q)\max_{(h,q)=1} \left(\pi(x,q,h)-\frac{\operatorname{li}x}{\varphi(q)}\right)^2\ll\frac{x^2}{\log^Ax} provided X, where \operatorname{li} x denotes the logarithmic integral and \varphi the Euler function. ==See also==