C Exercises: Find any number between 1 and n that can be expressed as the sum of two cubes

C Numbers: Exercise-31 with Solution

Write a program in C to find any number between 1 and n that can be expressed as the sum of two cubes in two (or more) different ways.

Sample Solution:

C Code:

# include <stdio.h>
# include <stdlib.h>
# include <math.h>


int main()
{
    int a,b,c,d,n;
	double result;
	printf("\n\n Find the numbers between a range that can be expressed as the sum of two cubes:\n");
	printf("------------------------------------------------------------------------------------\n");
	printf(" The numbers in the above range are: \n");
         n = 100000;  
        for (int a = 1; a <= n; a++) 
		{  
            int a3 = a*a*a;  
            if (a3 > n) break;  
  
            for (int b = a; b <= n; b++) 
			{  
                int b3 = b*b*b;  
                if (a3 + b3 > n) break;  
  
                 for (int c = a + 1; c <= n; c++) 
				 {  
                    int c3 = c*c*c;  
                    if (c3 > a3 + b3) break;  
  
                    for (int d = c; d <= n; d++) 
					{  
                        int d3 = d*d*d;  
                        if (c3 + d3 > a3 + b3) break;  
  
                        if (c3 + d3 == a3 + b3) 
						{  
                            printf(" %d = ",(a3+b3));  
                            printf("%d^3 + %d^3 = ",a,b);   
                            printf("%d^3 + %d^3",c,d);   
                            printf("\n"); 
                        }  
                    }  
                }  
            }  
        }
}

Sample Output:

 The numbers in the above range are:                                                                          
 1729 = 1^3 + 12^3 = 9^3 + 10^3                                                                               
 4104 = 2^3 + 16^3 = 9^3 + 15^3                                                                               
 13832 = 2^3 + 24^3 = 18^3 + 20^3                                                                             
 39312 = 2^3 + 34^3 = 15^3 + 33^3                                                                             
 46683 = 3^3 + 36^3 = 27^3 + 30^3                                                                             
 32832 = 4^3 + 32^3 = 18^3 + 30^3                                                                             
 40033 = 9^3 + 34^3 = 16^3 + 33^3                                                                             
 20683 = 10^3 + 27^3 = 19^3 + 24^3                                                                            
 65728 = 12^3 + 40^3 = 31^3 + 33^3                                                                            
 64232 = 17^3 + 39^3 = 26^3 + 36^3 

Pictorial Presentation:

Flowchart:

C Programming Code Editor:

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