Method for producing ceramic substrate, ceramic substrate, and module

A method for producing a ceramic substrate that includes a substrate body having ceramic layers and columnar projecting electrodes on a first primary surface of the substrate body, the method comprising;

• a step of preparing ceramic green sheets as a precursor of the ceramic layers;
• a step of preparing electrode formation sheets for forming the projecting electrodes;
• a step of perforating the electrode formation sheets with through holes and filling the through holes with a first electrically conductive paste containing a first electrically conductive powder;
• a step of building a composite multilayer body by stacking the ceramic green sheets and stacking the electrode formation sheets with the through holes therein filled with the first electrically conductive paste on a first primary surface of the stack of ceramic green sheets;
• and
• a step of firing the composite multilayer body at a temperature at which the ceramic green sheets sinter, wherein
• the first electrically conductive powder contains at least one electrically conductive metal and at least one anti-sintering ceramic that controls sintering of particles of the electrically conductive metal, with at least part of a surface of the particles of the electrically conductive metal covered with the anti-sintering ceramic.