Difference between revisions of "2008 iTest Problems/Problem 4"
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Revision as of 20:29, 7 May 2015
Problem
The difference between two prime numbers is . Find their sum.
Solution
We know that any prime number, excluding , is congruent to
. Thus, if both of the primes are not
, their difference would be congruent to
. Because
, one of the primes must be
. It follows that the other prime must then be
. Therefore, the sum of the two is
.
See also
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