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							|  |  |  |  | id: 5900f53e1000cf542c510051 | 
					
						
							|  |  |  |  | title: 'Problem 466: Distinct terms in a multiplication table' | 
					
						
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										 |  |  |  | challengeType: 5 | 
					
						
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										 |  |  |  | forumTopicId: 302141 | 
					
						
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										 |  |  |  | dashedName: problem-466-distinct-terms-in-a-multiplication-table | 
					
						
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										 |  |  |  | # --description--
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										 |  |  |  | Let P(m,n) be the number of distinct terms in an m×n multiplication table. | 
					
						
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							|  |  |  |  | For example, a 3×4 multiplication table looks like this: | 
					
						
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							|  |  |  |  | × 12341 12342 24683 36912 | 
					
						
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							|  |  |  |  | There are 8 distinct terms {1,2,3,4,6,8,9,12}, therefore P(3,4) = 8. | 
					
						
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										 |  |  |  | You are given that: P(64,64) = 1263, P(12,345) = 1998, and P(32,1015) = 13826382602124302. | 
					
						
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							|  |  |  |  | Find P(64,1016). | 
					
						
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										 |  |  |  | # --hints--
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										 |  |  |  | `euler466()` should return 258381958195474750. | 
					
						
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										 |  |  |  | ```js | 
					
						
							|  |  |  |  | assert.strictEqual(euler466(), 258381958195474750); | 
					
						
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										 |  |  |  | ``` | 
					
						
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										 |  |  |  | # --seed--
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										 |  |  |  | ## --seed-contents--
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler466() { | 
					
						
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										 |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
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							|  |  |  |  | euler466(); | 
					
						
							|  |  |  |  | ``` | 
					
						
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										 |  |  |  | # --solutions--
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							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` |