Soils high in excess lime and with high pH values fix the phosphorus rapidly. These conditions also make it highly recommendable to band the phosphorus applied pre-plant. Often sulfur is over applied for the plants nutritional needs for other purposes. In addition, some forms of nitrogen and sulfur fertilizers are much better for potato production. An example of this is in dry forms amonium sulfate is much better for potatoes that urea.
Sulfur is a mobile nutrient like nitrogen which can move with soil water.
Micronutrients Zinc is the most common micro-nutrient problem in the San Luis valley of Colorado. Copper is often needed on Colorado potato fields. A soil level less than 1.0 ppm can benefit from applied copper. Boron can often show up low on a soil test since it is a mobile nutrient like nitrogen. Most irrigation water in the western U.S. contains enough boron in the well water to supply a crops needs.