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The time can vary based o n your hashrate, how many HPS are you getting? Look at the number in minutes reported by the miner, that is an estimate on how long it may take you to find a block. Once you mine a block you get included in the witness-miner queue...

Take a note of the estimated time to produce a block, it is something like 81 hours with your current hashrate, so it can indeed take 3 days or more days, especially if you don't have luck.

Just got my first block! :)

Do I need internet connection to carry out the mining process.