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											2018-10-10 18:03:03 -04:00
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											2021-02-06 04:42:36 +00:00
										 |  |  | title: 'Problem 266: Pseudo Square Root' | 
					
						
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										 |  |  | challengeType: 5 | 
					
						
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										 |  |  | forumTopicId: 301915 | 
					
						
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										 |  |  | dashedName: problem-266-pseudo-square-root | 
					
						
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										 |  |  | # --description--
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										 |  |  | The divisors of 12 are: 1,2,3,4,6 and 12. | 
					
						
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										 |  |  | The largest divisor of 12 that does not exceed the square root of 12 is 3. | 
					
						
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							|  |  |  | We shall call the largest divisor of an integer n that does not exceed the square root of n the pseudo square root (PSR) of n. | 
					
						
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							|  |  |  | It can be seen that PSR(3102)=47. | 
					
						
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							|  |  |  | Let p be the product of the primes below 190. Find PSR(p) mod 1016. | 
					
						
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										 |  |  | # --hints--
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										 |  |  | `euler266()` should return 1096883702440585. | 
					
						
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							|  |  |  | ```js | 
					
						
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										 |  |  | assert.strictEqual(euler266(), 1096883702440585); | 
					
						
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										 |  |  | ``` | 
					
						
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										 |  |  | # --seed--
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							|  |  |  | ## --seed-contents--
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							|  |  |  | ```js | 
					
						
							|  |  |  | function euler266() { | 
					
						
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							|  |  |  |   return true; | 
					
						
							|  |  |  | } | 
					
						
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							|  |  |  | euler266(); | 
					
						
							|  |  |  | ``` | 
					
						
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										 |  |  | # --solutions--
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										 |  |  | ```js | 
					
						
							|  |  |  | // solution required | 
					
						
							|  |  |  | ``` |