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							|  |  |  |  | id: 5900f3f11000cf542c50ff03 | 
					
						
							|  |  |  |  | title: 'Problem 132: Large repunit factors' | 
					
						
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										 |  |  |  | challengeType: 5 | 
					
						
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										 |  |  |  | forumTopicId: 301760 | 
					
						
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										 |  |  |  | dashedName: problem-132-large-repunit-factors | 
					
						
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										 |  |  |  | # --description--
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										 |  |  |  | A number consisting entirely of ones is called a repunit. We shall define $R(k)$ to be a repunit of length $k$. | 
					
						
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										 |  |  |  | For example, $R(10) = 1111111111 = 11 × 41 × 271 × 9091$, and the sum of these prime factors is 9414. | 
					
						
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										 |  |  |  | Find the sum of the first forty prime factors of $R({10}^9)$. | 
					
						
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										 |  |  |  | # --hints--
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										 |  |  |  | `largeRepunitFactors()` should return `843296`. | 
					
						
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										 |  |  |  | ```js | 
					
						
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										 |  |  |  | assert.strictEqual(largeRepunitFactors(), 843296); | 
					
						
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										 |  |  |  | ``` | 
					
						
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										 |  |  |  | # --seed--
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										 |  |  |  | ## --seed-contents--
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							|  |  |  |  | ```js | 
					
						
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										 |  |  |  | function largeRepunitFactors() { | 
					
						
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										 |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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										 |  |  |  | largeRepunitFactors(); | 
					
						
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										 |  |  |  | ``` | 
					
						
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										 |  |  |  | # --solutions--
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` |