Problem 240. Project Euler: Problem 6, Natural numbers, squares and sums.

Created by Doug Hull

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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 N (where N is the input) natural numbers and the square of the sum.

Thank you to Project Euler Problem 6

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1734 Solutions
782 Solvers

Last Solution submitted on Dec 05, 2019

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2 Comments

John D'Errico on 28 Aug 2016

A problem where one must be at least a little careful about floating point arithmetic. It might have been interesting if one of the test cases were x=1e5 or larger. Even more interesting if the execution time were a factor in the "score". These factors might impact how the problem would be best solved.

Srishti Saha on 13 Oct 2018

@ Doug Hall, I have solved all the problems in the series. However, I have not received the badge and the associated scores on completion of the series. Can you please look into this?

Solution Comments

Solution 1964291

1 Comment

1 Comment

Reece Taylor on 7 Oct 2019

Is there a more compact way to calculate the sum of squares? (like how I calculated the square of sums)

Solution 1555241

2 Comments

2 Comments

durga sadasivuni on 9 Jun 2018

My solution is failing,please help me out

J. S. Kowontan on 9 Jun 2018

1. You used the wrong formula for the sum of the squares of the the first x natural numbers. 2. Also, your implementation of the square of the sum of the first x natural number is incorrect. 3. Finally, You are to subtract (1) from (2) not the other way round.

Solution 605109

1 Comment

1 Comment

Haw wawa on 13 Feb 2016

How can I view the solution?

Solution 441814

1 Comment

1 Comment

Joseph Pauwels on 12 May 2014

can someone explain what the value and size of a correct answer means.

Solution 440215

1 Comment

1 Comment

Daniel Pereira on 8 May 2014

I think simpler is impossible. The only thing is that it needs 8 operations...
:(

Solution 120005

2 Comments

2 Comments

William Smith on 25 Sep 2012

For loops, not cool!

Doug Hull on 26 Sep 2012

William, Why are for loops not cool?

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Problem 240. Project Euler: Problem 6, Natural numbers, squares and sums.

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Last 200 Solutions

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Problem Recent Solvers782

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Problem 240. Project Euler: Problem 6, Natural numbers, squares and sums.

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Last 200 Solutions

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Solution Comments

Problem Recent Solvers782

Suggested Problems

More from this Author52

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