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).
An additional passphrase can be added to the 24-word seed. This provides extra protection, since anyone who finds someone else’s 24-word seed is free to access the funds. If the optional passphrase is added, an attacker still wouldn’t be able to access funds without both the seed AND the passphrase. If the passphrase is forgotten, it cannot be recovered.
Early Bitcoin client versions allowed users to use their CPUs to mine. The advent of GPU mining made CPU mining financially unwise as the hashrate of the network grew to such a degree that the amount of bitcoins produced by CPU mining became lower than the cost of power to operate a CPU. The option was therefore removed from the core Bitcoin client's user interface.
This spring, Bitmain caused a minor uproar when a developer found a “backdoor,” called Antbleed, in the firmware of Bitmain’s S9 Antminers. The backdoor could have been used by the company to track the location of its machines and shut them down remotely. While no computer purchaser would find such a vulnerability acceptable, it’s particularly troubling for Bitcoin.
The receiver of the first bitcoin transaction was cypherpunk Hal Finney, who created the first reusable proof-of-work system (RPOW) in 2004.[21] Finney downloaded the bitcoin software on its release date, and on 12 January 2009 received ten bitcoins from Nakamoto.[22][23] Other early cypherpunk supporters were creators of bitcoin predecessors: Wei Dai, creator of b-money, and Nick Szabo, creator of bit gold.[24] In 2010, the first known commercial transaction using bitcoin occurred when programmer Laszlo Hanyecz bought two Papa John's pizzas for 10,000 bitcoin.[25]