Project Euler is a website dedicated to computational problems intended to be solved with computer programs.

At the time of this writing, it includes over 400 problems, with a new one added every week.

Problems are of varying difficulty but each is solvable in less than a minute using an efficient algorithm on a modestly powered computer.

I have already solved some of the problem, mainly using J (a language in the APL family) or Python.

Last year I learned ABAP and now, to test my skill with it, I decide to solve some of the Project Euler problem using ABAP.

To be able to execute ABAP programs, I have installed a SAP NetWeaver Trial Version ABAP (Windows) under VirtualBox.

The 6th problem (Sum square difference) is the following:

**The sum of the squares of the first ten natural numbers is,**

**1**

^{2}+ 2^{2}+ … + 10^{2}= 385**The square of the sum of the first ten natural numbers is,**

**(1 + 2 + … + 10) ^{2} = 55^{2} = 3025**

**Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 – 385 = 2640.**

**Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.**

An ABAP solution is below (run the program to see the solution).

It suffice to loop on the number between 1 and 100, computing a and b at each loop.

Then the solution is given by (a*a)-b.

REPORT ZMLA_EULER_006.

DATA: sol TYPE INT4 VALUE 0,

lim TYPE INT4 VALUE 100,

n TYPE INT4 VALUE 1,

a TYPE INT4 VALUE 0,

b TYPE INT4 VALUE 0,

s TYPE STRING.

WHILE n <= lim.

a = a + n.

b = b + n * n.

n = n + 1.

ENDWHILE.

sol = a * a – b.

WRITE / |The result is { sol }|.