DWITE Online Computer Programming Contest, January 2011, Problem 2
Math sure likes their prime numbers, those with only two factors, and itself. are the first four prime numbers, written in a sequence (numbers following each other). We've made up a new sequence of numbers, primal numbers that are based on the values of the prime numbers sequence.
The st primal number is the value that is in the position #(value of the st prime) in the prime sequence. That is, the st prime is , and the prime number in nd position is , so the st primal number is .
The nd primal number is in position #(value of nd prime) in the prime sequence. nd prime is , and the rd prime is ; so the nd primal number is . The sequence continues in the same pattern; are the first four primal numbers.
The input will contain 5 lines, integers
The output will contain 5 lines, each the th primal number.
Note: think about performance for large values of . The th prime number is , so you'd need the th prime number to figure out what the th primal number is.
4 24 8 1 15
17 461 67 3 211