Question

I have a python program that must check if an integer is the sum of the squares of four consecutive prime numbers. However, when I run the program, it goes into an infinite while loop, and it doesn't give me any answer. I can only use the while, if, else, True and False commands. The code I'm using is

n1=2

  n2=3

  n3=5

  n4=7

  n = int(input("n: "))

  if (n==(n1**2)+(n2**2)+(n3**2)+(n4**2)):

    print(n1,n2,n3,n4)

  else :

    i = 2

    pr = True

    next = n4 + 2

    while next <= n:

      while i < next and pr == True:

        if next%i == 0:

          pr = False

        else :

          pr = True

        i=i+1

      if pr == True:

        n1 = n2

        n2 = n3

        n3 = n4

        n4 = next

        if (n==(n1**2)+(n2**2)+(n3**2)+(n4**2)):

          print(n1,n2,n3,n4)

        else:

          next = next + 2

    if (next>n):

      print("false")

And it only works with the number 87, since it's outside the while loop

Answer 1

ANSWER:

n1=2
n2=3
n3=5
n4=7
n = int(input("n: "))
if (n==(n1**2)+(n2**2)+(n3**2)+(n4**2)):
    print(n1,n2,n3,n4)
else :
    i = 2
    nextnum = n4 + 2
    while nextnum <= n:
        pr=True
        i=2
        while i < nextnum and pr==True:
            if nextnum%i == 0:
                pr = False
            i+=1
        if pr == True:
            n1 = n2
            n2 = n3
            n3 = n4
            n4 = nextnum
            if (n==(n1**2)+(n2**2)+(n3**2)+(n4**2)):
              print(n1,n2,n3,n4)
              break
            else:
              nextnum = nextnum + 2
            if (nextnum>n):
              print("false")
        else:
            nextnum = nextnum + 2
            if (nextnum>n):
              print("false")

NOTE: The above code is in Python3. Please refer to the attached screenshots for code indentation and sample I/O.

SAMPLE I/O: