43 lines
		
	
	
		
			956 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			956 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f3e91000cf542c50fefc | ||
|  | title: 'Problem 125: Palindromic sums' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 301752 | ||
|  | dashedName: problem-125-palindromic-sums | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | The palindromic number 595 is interesting because it can be written as the sum of consecutive squares: 62 + 72 + 82 + 92 + 102 + 112 + 122. | ||
|  | 
 | ||
|  | There are exactly eleven palindromes below one-thousand that can be written as consecutive square sums, and the sum of these palindromes is 4164. Note that 1 = 02 + 12 has not been included as this problem is concerned with the squares of positive integers. | ||
|  | 
 | ||
|  | Find the sum of all the numbers less than 108 that are both palindromic and can be written as the sum of consecutive squares. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler125()` should return 2906969179. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler125(), 2906969179); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler125() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler125(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |