43 lines
		
	
	
		
			900 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
		
		
			
		
	
	
			43 lines
		
	
	
		
			900 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
|   | --- | ||
|  | id: 5900f4c81000cf542c50ffdb | ||
|  | title: 'Problem 348: Sum of a square and a cube' | ||
|  | challengeType: 5 | ||
|  | forumTopicId: 302007 | ||
|  | dashedName: problem-348-sum-of-a-square-and-a-cube | ||
|  | --- | ||
|  | 
 | ||
|  | # --description--
 | ||
|  | 
 | ||
|  | Many numbers can be expressed as the sum of a square and a cube. Some of them in more than one way. | ||
|  | 
 | ||
|  | Consider the palindromic numbers that can be expressed as the sum of a square and a cube, both greater than 1, in exactly 4 different ways. For example, 5229225 is a palindromic number and it can be expressed in exactly 4 different ways: 22852 + 203 22232 + 663 18102 + 1253 11972 + 1563 | ||
|  | 
 | ||
|  | Find the sum of the five smallest such palindromic numbers. | ||
|  | 
 | ||
|  | # --hints--
 | ||
|  | 
 | ||
|  | `euler348()` should return 1004195061. | ||
|  | 
 | ||
|  | ```js | ||
|  | assert.strictEqual(euler348(), 1004195061); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --seed--
 | ||
|  | 
 | ||
|  | ## --seed-contents--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | function euler348() { | ||
|  | 
 | ||
|  |   return true; | ||
|  | } | ||
|  | 
 | ||
|  | euler348(); | ||
|  | ``` | ||
|  | 
 | ||
|  | # --solutions--
 | ||
|  | 
 | ||
|  | ```js | ||
|  | // solution required | ||
|  | ``` |