Algebra or Number Theory?
Given that
m 2 + 2 ( 3 n ) = m ( 2 n + 1 − 1 )
has nonnegative integer solutions ( m 1 , n 1 ) , ( m 2 , n 2 ) , ( m 3 , n 3 ) , … , ( m i , n i ) , find the value of
( m 1 + m 2 + m 3 + … + m i ) + ( n 1 + n 2 + n 3 + … + n i ) .
Details and Assumptions
This problem is not entirely original.
The answer is 94.
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