async def a():
    while True:
        task = asyncio.current_task()  # asyncio.Task.current_task()
        print(task.name)
        await asyncio.sleep(0.5)

async def main():
    tasks = []

    for i in range(10):
        c = a()
        task = asyncio.create_task(c)
        task.name = "task nr {}".format(i)
        tasks.append(task)

    for task in tasks:
        await task

asyncio.run(main())

task nr 0
task nr 1
task nr 2
task nr 3
task nr 4
task nr 5
task nr 6
task nr 7
task nr 8
task nr 9

def main2():
    async def a():
        while True:
            task = asyncio.current_task()  # asyncio.Task.current_task()
            print(task.name)
            await asyncio.sleep(0.5)

async def main():

    for i in range(10):
        c = a()
        task = asyncio.create_task(c)
        task.name = "task nr {}".format(i)
        await task

asyncio.run(main())