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«ThirDeye : Are you smarter than a sixth grader? Part IV
If two prime numbers' difference is 2009, how many divisors does their sum have?
Since the numbers have an odd difference we know that one must be odd and one must be even. The only even prime is 2 so the numbers must be 2 and 2011, both of which are prime.
There sum is 2013. 2013 = 3 * 11 * 61 Thus the divisors of 2013 are: 1,3,11,61,3*11,3*61,11*61,3*11*61
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