Question

Write a Python (or R) program that asks the user to enter an integer (X), then: Determines if X is prime or not If X is not prime, compute and print the factors of that integer X Evaluate and print the equation Y=8X²+ 1, for X values from -5 to 5 using the range function and for loop

Answer 1

Answer:

The algorithm can be improved further by observing that all primes are of the form 6k ± 1, with the exception of 2 and 3. This is because all integers can be expressed as (6k + i) for some integer k and for i = -1, 0, 1, 2, 3, or 4; 2 divides (6k + 0), (6k + 2), (6k + 4); and 3 divides (6k + 3). So a more efficient method is to test if n is divisible by 2 or 3, then to check through all the numbers of form 6k ± 1.

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Answer 2

Answer:

Explanation:

Python is a computer programming language that is frequently used to create software and websites, automate processes, and perform data analysis. Because Python is a general-purpose language, it may be used to develop a wide range of programmes and isn't tailored for any particular issues.

Python is frequently used to create websites and applications, automate tasks, analyse data, and visualise data. Many non-programmers, including accountants and scientists, have adopted Python because it's reasonably simple to learn and can be used for a number of common activities like managing finances.

I have written the code of the given question in python programming language.

Code :

x=int(input("Enter an integer:"))

prime=True

for i in range(2,x):

   if(x%i==0):

       prime=False

       break

if(prime):

   print("it is a prime")

else:

   print("it is not a prime factors:")

   for i in range(2,x):

       if(x%i==0):

           prime=False

           print(i)

for x in range(-5,5+1,1):

   print(8*(x**2)+1)

Output :

#SPJ2