using Python

Problem 2: Large Exponents The built-in next_prime function gives the next prime after the input. For example, next prime(9)-11 Part A: Let p be the next prime after 10 and q the next prime after p 2.A.1. What are the last 5 digits of p'? 2.A.2. What is p (mod 10)? 2.A.3. How many decimal digits does have? . 2.A.4. What is logo(p")? Part B: Let z be the next prime after 1000 and y the next prime after . .2.B.1. What are the last 5 digits of r? 2.B.2. How many decimal digits does have? Give an integer m such that the number of decimal digits of is between 10 and 10m(Make sure after we run your codes, the variable m contains your answer for m.) 2.B.3. How does the number of decimal digits of r compare to typical estimates for the number of atoms in the universe? (2.B.3 will not be graded, but you should be aware of the comparison.)