import random
import datetime
from apscheduler.schedulers.background import BackgroundScheduler
scheduler = BackgroundScheduler()

def yourfunc():
    print(datetime.datetime.now().strftime('%Y-%m-%d %X'))


def myfunc():
    scheduler.remove_job('my_job_id')
    yourfunc()
    t = random.randint(1,5) # 1~5秒隨機(jī)
    scheduler.add_job(myfunc, 'interval', seconds=t, id='my_job_id') # seconds可以換成minutes 隨機(jī)個60~200分鐘的估計就滿足你的需求了吧

   
scheduler.add_job(myfunc, 'interval', seconds=1, id='my_job_id')
scheduler.start()