2. If prime numbers $a, b$ satisfy $5a + b = 2027$, then $a + b =$

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2. If prime numbers $a, b$ satisfy $5a+b=2027$, then $a+b=2019$.
【Solution】Solution: According to the problem, we know:
The sum of the two numbers is odd, so one of them must be even. The even prime number is 2.
When $b=2$, $5a+2=2027, a=405$ does not meet the requirement.
When $a=2$, $10+b=2027, b=2017$ meets the requirement, $a+b=2+2017=2019$.
Therefore, the answer is: 2019.