Question 30
Optional bonus question. In this lesson, the natural numbers start at 1, and 1 is not prime. A prime is an integer greater than 1 divisible only by 1 and itself. Examples: 2 has divisors 1,2 and is prime; 3 has divisors 1,3 and is prime; 4 has divisors 1,2,4 and is not prime; 5 has divisors 1,5 and is prime; 6 has divisors 1,2,3,6 and is not prime; 7 has divisors 1,7 and is prime. The source then suggests trying divisibility by primes 3,5,7 and so on. The first ten primes are 2,3,5,7,11,13,17,19,23,29. A teacher randomly distributes twelve cards labelled 1 through 12 among six students, two cards per student. Each student reports the sum of their two cards. All six sums are prime. What is the sum of these six primes?
