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Python program to print all pronic numbers between 1 and 100

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robaa
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2022-11-07
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The pronic number is a product of two consecutive integers of the form: n(n+1).

For example:

6 = 2(2+1)= n(n+1),
72 =8(8+1) = n(n+1)

Some pronic numbers are: 0, 2, 6, 12, 20, 30, 42, 56 etc.

In this program, we need to print all pronic numbers between 1 and 100 by following the algorithm as given below:

ALGORITHM:

  • STEP 1: isPronicNumber() determines whether a given number is the Pronic number or not.
    1. Define a boolean variable flag and set its value to false.
    2. Use for loop to iterate from 1 to given number and check whether i * (i + 1) is equal to the given number, for any value of i.
    3. If a match is found, then set the flag to true, break the loop and returns the value of the flag.
  • STEP 2: To display all Pronic numbers between 1 and 100,
    1. Start a loop from 1 to 100, and make a call to isPronicNumber() method for each value from 1 to 100.
    2. If isPronicNumber() returns true which signifies that number is Pronic, then display that number.
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robaa
2022-11-07
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#isPronicNumber() will determine whether a given number is a pronic number or not    
def isPronicNumber(num):    
    flag = False;    
        
    for j in range(1, num+1):    
        #Checks for pronic number by multiplying consecutive numbers    
        if((j*(j+1)) == num):    
            flag = True;    
            break;    
    return flag;    
     
#Displays pronic numbers between 1 and 100    
print("Pronic numbers between 1 and 100: ");    
for i in range(1, 101):    
    if(isPronicNumber(i)):    
        print(i),    
        print(" "),

 

Output:

Pronic numbers between 1 and 100:
2  6  12  20  30  42  56  72  90

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