The number 5^{867} is between 2^{2013} and 2^{2014}. How many pairs of integers (m, n) are there such that 1 \leq m \leq 2012 and

5^{n}<2^{m}<2^{m+2}<5^{n+1} ?

**Answer Choices**

A. 278

B. 279

C. 280

D. 281

E. 282

The number 5^{867} is between 2^{2013} and 2^{2014}. How many pairs of integers (m, n) are there such that 1 \leq m \leq 2012 and

5^{n}<2^{m}<2^{m+2}<5^{n+1} ?

**Answer Choices**

A. 278

B. 279

C. 280

D. 281

E. 282