1. A twin prime is a pair of primes (x, y), such that y=x+2. construct a list of all twin primes less than 1000

2. suppose a car dealer promotes two options for the purchase of a new $20,000 car. The first option is for the customer to pay up front and receive a $1,000 rebate. the second option is 0% interest financing where the customer makes 20 monthly payment of $1,000 beginning in one month's time.

a. use the information above to calculate the first 20 updates of the interest i, starting with i = 0.006. repeat with the a starting value of i = 0.005 and with a staring value of i = 0.004. Based on the observations what i the true value of i (up to 5 digit accuracy)

please use r studio to solve it, thanks.