5. The number of common terms (terms with the same value) in the arithmetic sequences $2,5,8, \cdots, 2021$ and $4,9, 14, \cdots, 2019$ is $\qquad$.
5. 134 .

After adding 1 to each term in the two sequences, the problem is equivalent to finding the number of common terms in the arithmetic sequence $3,6,9, \cdots, 2022$ and the arithmetic sequence $5,10,15, \cdots, 2020$.

It is easy to see that the former consists of all numbers in $M=\{1,2,3, \cdots, 2022\}$ that are divisible by 3, and the latter consists of all numbers in $M$ that are divisible by 5.

Thus, the common terms are all numbers in $M$ that are divisible by 15, totaling $\left[\frac{2022}{15}\right]=134$ terms.