不**的话说明没有追究其刑事责任，因此不会被判处刑罚，是不会构成累犯的。

《中华人民共和国刑法》

第六十五条 一般累犯

被判处****以上刑罚的犯罪分子，刑罚执行完毕或者赦免以后，在五年以内再犯应当判处****以上刑罚之罪的，是累犯，应当从重处罚，但是过失犯罪和不满十八周岁的人犯罪的除外。 前款规定的期限，对于被假释的犯罪分子，从假释期满之日起计算。

第六十六条 特别累犯

危害国家安全犯罪、恐怖活动犯罪、黑社会性质的组织犯罪的犯罪分子，在刑罚执行完毕或者赦免以后，在任何时候再犯上述任一类罪的，都以累犯论处。

If you do not prosecute, it means that you have not investigated for criminal responsibility, so you will not be sentenced to punishment, and it will not constitute a recidivist.

Criminal Law of the People's Republic of China

Article 65 General recidivi**

A criminal who has been sentenced to fixed-term imprisonment or more and commits a crime that should be sentenced to fixed-term imprisonment or more again within five years after the execution of the sentence or the pardon is completed is a recidivist and shall be given a heavier punishment, except for negligent crimes and crimes committed by persons under the age of 18. The time limit specified in the preceding paragraph shall be calculated from the date of expiration of parole for criminals who are paroled.

Article 66 Special recidivists

Criminals who commit any of the above crimes at any time after the execution of the penalty or the pardon of the criminal elements, such as crimes endangering national security, terrorist activities and organized crimes of triad nature, shall be treated as recidivists.