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Skipping over the technical details, finding a block most closely resembles a type of network lottery. For each attempt to try and find a new block, which is basically a random guess for a lucky number, a miner has to spend a tiny amount of energy. Most of the attempts fail and a miner will have wasted that energy. Only once about every ten minutes will a miner somewhere succeed and thus add a new block to the blockchain.
In 2014, researchers at the University of Kentucky found "robust evidence that computer programming enthusiasts and illegal activity drive interest in bitcoin, and find limited or no support for political and investment motives". Australian researchers have estimated that 25% of all bitcoin users and 44% of all bitcoin transactions are associated with illegal activity as of April 2017. There were an estimated 24 million bitcoin users primarily using bitcoin for illegal activity. They held $8 billion worth of bitcoin, and made 36 million transactions valued at $72 billion. A group of researches analyzed bitcoin transactions in 2016 and came to a conclusion that "some recent concerns regarding the use of bitcoin for illegal transactions at the present time might be overstated".
Bitcoin mining is a lot like a giant lottery where you compete with your mining hardware with everyone on the network to earn bitcoins. Faster Bitcoin mining hardware is able to attempt more tries per second to win this lottery while the Bitcoin network itself adjusts roughly every two weeks to keep the rate of finding a winning block hash to every ten minutes. In the big picture, Bitcoin mining secures transactions that are recorded in Bitcon's public ledger, the block chain. By conducting a random lottery where electricity and specialized equipment are the price of admission, the cost to disrupt the Bitcoin network scales with the amount of hashing power that is being spent by all mining participants.
Bitcoin Mining is intentionally designed to be resource-intensive and difficult so that the number of blocks found each day by miners remains steady over time, producing a controlled finite monetary supply. Individual blocks must contain a proof-of-work to be considered valid. This proof-of-work (PoW) is verified by other Bitcoin nodes each time they receive a block. Bitcoin uses a PoW function to protect against double-spending, which also makes Bitcoin's ledger immutable.
The difficulty is a number that regulates how long it takes for miners to add new blocks of transactions to the blockchain. Because the target is such an unwieldy number with tons of digits, people generally use a simpler number to express the current target. This number is called the mining difficulty. This difficulty value updates every 2 weeks to ensure that it takes 10 minutes (on average) to add a new block to the blockchain. The difficulty is so important because, it ensures that blocks of transactions are added to the blockchain at regular intervals, even as more miners join the network. If the difficulty remained the same, it would take less time between adding new blocks to the blockchain as new miners join the network. The difficulty adjusts every 2016 blocks. At this interval, each node takes the expected time for these 2016 blocks to be mined (2016 x 10 minutes), and divides it by the actual time it took. It can be calculated as follows:
Nakamoto is estimated to have mined one million bitcoins before disappearing in 2010, when he handed the network alert key and control of the code repository over to Gavin Andresen. Andresen later became lead developer at the Bitcoin Foundation. Andresen then sought to decentralize control. This left opportunity for controversy to develop over the future development path of bitcoin.