A method for producing a hollow fiber pre-product for a dialysis membrane is disclosed. The dialysis membrane includes a distribution of the pore sizes which follows an exponential function such as an e-function. The inverse value of the exponential coefficient (K) is at least 30 nm2. The dialysis membrane includes at least 50 pores per μm2 and the share of a free flow area at a surface of the dialysis membrane amounts to at least 2.5%.
