43 lines
		
	
	
		
			807 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
			
		
		
	
	
			43 lines
		
	
	
		
			807 B
		
	
	
	
		
			Markdown
		
	
	
	
	
	
| ---
 | |
| id: 5900f4791000cf542c50ff8b
 | |
| title: >-
 | |
|   Problem 268: Counting numbers with at least four distinct prime factors less than 100
 | |
| challengeType: 5
 | |
| forumTopicId: 301917
 | |
| dashedName: >-
 | |
|   problem-268-counting-numbers-with-at-least-four-distinct-prime-factors-less-than-100
 | |
| ---
 | |
| 
 | |
| # --description--
 | |
| 
 | |
| It can be verified that there are 23 positive integers less than 1000 that are divisible by at least four distinct primes less than 100.
 | |
| 
 | |
| Find how many positive integers less than 1016 are divisible by at least four distinct primes less than 100.
 | |
| 
 | |
| # --hints--
 | |
| 
 | |
| `euler268()` should return 785478606870985.
 | |
| 
 | |
| ```js
 | |
| assert.strictEqual(euler268(), 785478606870985);
 | |
| ```
 | |
| 
 | |
| # --seed--
 | |
| 
 | |
| ## --seed-contents--
 | |
| 
 | |
| ```js
 | |
| function euler268() {
 | |
| 
 | |
|   return true;
 | |
| }
 | |
| 
 | |
| euler268();
 | |
| ```
 | |
| 
 | |
| # --solutions--
 | |
| 
 | |
| ```js
 | |
| // solution required
 | |
| ```
 |