This is the 8889th most frequent Russian word.
пришахтинском
"Пришахтинском" refers to something related to or located near a mining facility or shaft.
Here, 'пришахтинском' refers to an adjective derived from 'Prishakhtinsk', indicating something belonging to or located in that district.
В пришахтинском районе расположено несколько красивых парков.
In the Prishakhtinsk district, there are several beautiful parks.
Here, 'пришахтинском' again functions as an adjective, modifying 'поселке', pointing to an association with the Prishakhtinsk settlement.
Школа в пришахтинском поселке предлагает качественное образование.
The school in the Prishakhtinsk settlement offers quality education.
In this sentence, 'пришахтинского' is the genitive case of the adjective, describing ownership or belonging to the district.