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The last time the state crossed the 30,000 mark was on May 20 when it logged 30,491 cases.
The Test Positivity Rate (TPR) rose further on Wednesday and crossed the 19 per cent mark, according to a state government release.
After the Onam festivities, medical experts had predicted that the TPR would go beyond 20 per cent and that the number of infections would rise further.
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The release further said that as many as 20,271 people have been cured of the infection since Tuesday, taking the total recoveries to 36,92,628 and the number of active cases to 1,70,292.
In the last 24 hours, 1,65,273 samples were tested and the TPR was found to be 19.03 per cent. So far, 3,06,19,046 samples have been tested, it said.
Among districts, Ernakulam recorded the highest number with 4,048 cases, followed by Thrissur (3,865), Kozhikode (3,680), Malappuram (3,502), Palakkad (2,562), Kollam (2,479), Kottayam (2,050), Kannur (1,930) Alappuzha (1,874), Thiruvananthapuram (1,700), Idukki (1,166) Pathanamthitta (1,008) and Wayanad (962).
Of the new cases, 123 were health workers, 138 from outside the state and 29,608 infected through contact, with the source of the contact not being clear in 1,576 cases, the release said.
There are currently 4,70,860 people under surveillance in various districts. Of these, 4,44,278 are in home or institutional quarantine and 26,582 in hospitals.