There are six fruit baskets with apples, bananas and plums on the table. The number of bananas in each basket is equal to the total number of apples in the other five baskets together. The number of apples in each basket is equal to the total number of plums in the other five baskets together. Altogether the six baskets contain at least 1000 pieces of fruit.
What is the minimum number of pieces of fruit in the six baskets together?