Place washed potatoes into large pot and cover with hot water. Bring to a full boil and cook for 8 to 12 minutes until a fork can be pushed into potato easily 1/4 to1/2 way through. Do not over cook. If potatoes are cooked until soft they will begin to denigrate when stirred with the mayo and other ingredients making more of a mashed potato consistency. Once cooked, run cold water over potatoes and let stand in pot with cold water about 5 minutes. Peel potatoes. Cut potatoes into 1/2 to 1 inch pieces and place in extra large bowl.
Set eggs out of refrigerator for 30 minutes before cooking. Fill a 3 quart pot to about 3/4 full with hot water. Bring water to a rolling boil. Gently and slowly add eggs to boiling water. Water will stop boiling while adding eggs. Once water returns to full boil, continue to boil for 12 minutes. Reduce heat if needed, but keep water rolling.
Once cooking time is finished, remove from heat and let stand 2 minutes. Run cold water into pot and pour hot water out while adding cold water. Pour all water out of pot and add enough cold water to cover the eggs and let stand about 5 minutes. Break eggs and peel being careful to not break whites. Cut hard boiled eggs into 1/2 inch pieces.
Cut stuffed green olives into 1/3 slices. Add chopped onion, pimentos and sliced green olives to large mixing bowl. Add potatoes to the bowl and mix. Add mayonnaise and mustard and mix together being careful to not break up potatoes. Add the cut up eggs next. Sprinkle salt, black pepper and Cayenne pepper and stir just enough to mix. Taste for salt, pepper and cayenne at this point, adding more as needed. Add more mayo if needed at this point. We like the potato salad to be \"zippy\" with the cayenne pepper.
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