The teacher has 12 cards of number 1 to 12 and gives to 6 students
randomly.
Each student receives 2 cards, then tells students in the class the sum of 2
numbers on cards to examine whether or not the sum is a prime number.
Surprisingly, all of the 6 sums are prime numbers.
What is the sum of these 6 prime numbers from the 6 students?
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