Bitcoin Mining is a peer-to-peer computer process used to secure and verify bitcoin transactions—payments from one user to another on a decentralized network. Mining involves adding bitcoin transaction data to Bitcoin's global public ledger of past transactions. Each group of transactions is called a block. Blocks are secured by Bitcoin miners and build on top of each other forming a chain. This ledger of past transactions is called the blockchain. The blockchain serves to confirm transactions to the rest of the network as having taken place. Bitcoin nodes use the blockchain to distinguish legitimate Bitcoin transactions from attempts to re-spend coins that have already been spent elsewhere.
How do they find this number? By guessing at random. The hash function makes it impossible to predict what the output will be. So, miners guess the mystery number and apply the hash function to the combination of that guessed number and the data in the block. The resulting hash has to start with a pre-established number of zeroes. There's no way of knowing which number will work, because two consecutive integers will give wildly varying results. What's more, there may be several nonces that produce the desired result, or there may be none (in which case the miners keep trying, but with a different block configuration).
Bitcoin has been criticized for the amount of electricity consumed by mining. As of 2015, The Economist estimated that even if all miners used modern facilities, the combined electricity consumption would be 166.7 megawatts (1.46 terawatt-hours per year).[129] At the end of 2017, the global bitcoin mining activity was estimated to consume between one and four gigawatts of electricity.[202] Politico noted that the even high-end estimates of bitcoin's total consumption levels amount to only about 6% of the total power consumed by the global banking sector, and even if bitcoin's consumption levels increased 100 fold from today's levels, bitcoin's consumption would still only amount to about 2% of global power consumption.[203]
Apart from being an intriguing mystery, this has real-world ramifications. u/Sick_Silk believes that the movement of funds may be at least partially responsible for the recent price decline seen in August, and whether that’s true or not, it’s certainly the case that  0.52% of the entire supply of Bitcoin is more than enough to seriously manipulate or destabilize the market. Indeed, the funds are already worth around $80 million less since the report went public.
How hard are the puzzles involved in mining? Well, that depends on how much effort is being put into mining across the network. The difficulty of the mining can be adjusted, and is adjusted by the protocol every 2016 blocks, or roughly every 2 weeks. The difficulty adjusts itself with the aim of keeping the rate of block discovery constant. Thus if more computational power is employed in mining, then the difficulty will adjust upwards to make mining harder.  And if computational power is taken off of the network, the opposite happens. The difficulty adjusts downward to make mining easier.
While heat is definitely an issue for the mining farm in Ordos, the electricity there is dirt cheap, only 4 U.S. cents per kilowatt-hour, with government subsidies. That’s about one-fifth of the average price in the United Kingdom. The only other costs for the facility are the rigs themselves and the salary of the few dozen staff that keeps them operational.
Bitcoin mining is the process by which transactions are verified and added to the public ledger, known as the block chain, and also the means through which new bitcoin are released. Anyone with access to the internet and suitable hardware can participate in mining. The mining process involves compiling recent transactions into blocks and trying to solve a computationally difficult puzzle.  The participant who first solves the puzzle gets to place the next block on the block chain and claim the rewards.  The rewards, which incentivize mining, are both the transaction fees associated with the transactions compiled in the block as well as newly released bitcoin. (Related: How Does Bitcoin Mining Work?)
Because it's similar to gold mining in that the bitcoins exist in the protocol's design (just as the gold exists underground), but they haven't been brought out into the light yet (just as the gold hasn't yet been dug up). The bitcoin protocol stipulates that 21 million bitcoins will exist at some point. What "miners" do is bring them out into the light, a few at a time.

The Ledger Nano is a smartcard based hardware wallet. Private keys are generated and signed offline in the smartcard’s secure environment. The Nano is setup using the Ledger Chrome Application. A random 24-word seed is generated upon setup and backed offline by writing it down on a piece of paper. In case of theft, damage or loss, the entire wallet can be recreated with the seed. A user selected PIN code is also assigned to the device to protect against physical theft or hacking.
Majority consensus in bitcoin is represented by the longest chain, which required the greatest amount of effort to produce. If a majority of computing power is controlled by honest nodes, the honest chain will grow fastest and outpace any competing chains. To modify a past block, an attacker would have to redo the proof-of-work of that block and all blocks after it and then surpass the work of the honest nodes. The probability of a slower attacker catching up diminishes exponentially as subsequent blocks are added.[3]
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Full clients verify transactions directly by downloading a full copy of the blockchain (over 150 GB As of January 2018).[90] They are the most secure and reliable way of using the network, as trust in external parties is not required. Full clients check the validity of mined blocks, preventing them from transacting on a chain that breaks or alters network rules.[91] Because of its size and complexity, downloading and verifying the entire blockchain is not suitable for all computing devices.

In the beginning, mining with a CPU was the only way to mine bitcoins and was done using the original Satoshi client. In the quest to further secure the network and earn more bitcoins, miners innovated on many fronts and for years now, CPU mining has been relatively futile. You might mine for decades using your laptop without earning a single coin.
The trick, though, was finding a location where you could put all that cheap power to work. You needed an existing building, because in those days, when bitcoin was trading for just a few dollars, no one could afford to build something new. You needed space for a few hundred high-speed computer servers, and also for the heavy-duty cooling system to keep them from melting down as they churned out the trillions of calculations necessary to mine bitcoin. Above all, you needed a location that could handle a lot of electricity—a quarter of a megawatt, maybe, or even a half a megawatt, enough to light up a couple hundred homes.
All mining ASICs, Bitmain’s included, are performing essentially the same computation—the SHA-256 hashing algorithm—even if they go about it a bit differently. The standard algorithm takes 64 steps to complete, but in Bitcoin it is run twice for each block header, meaning a full round requires 128 steps that are heavy on integer addition. “That’s what dominates the whole design,” says Timo Hanke, the chief cryptographer at String Labs, a cryptography-focused incubator in Palo Alto, Calif. “So, if somebody was to optimize it, they have to optimize the adders. That’s where most of the work is.”
Network nodes can validate transactions, add them to their copy of the ledger, and then broadcast these ledger additions to other nodes. To achieve independent verification of the chain of ownership each network node stores its own copy of the blockchain.[65] About every 10 minutes, a new group of accepted transactions, called a block, is created, added to the blockchain, and quickly published to all nodes, without requiring central oversight. This allows bitcoin software to determine when a particular bitcoin was spent, which is needed to prevent double-spending. A conventional ledger records the transfers of actual bills or promissory notes that exist apart from it, but the blockchain is the only place that bitcoins can be said to exist in the form of unspent outputs of transactions.[3]:ch. 5