In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key.[3]:ch. 5
To lower the costs, bitcoin miners have set up in places like Iceland where geothermal energy is cheap and cooling Arctic air is free.[204] Bitcoin miners are known to use hydroelectric power in Tibet, Quebec, Washington (state), and Austria to reduce electricity costs.[203][205][206][207] Miners are attracted to suppliers such as Hydro Quebec that have energy surpluses.[208] According to a University of Cambridge study, much of bitcoin mining is done in China, where electricity is subsidized by the government.[209][210]
Bitcoin is in the very early stages of acceptance, and although it is already accepted as a means of payment by numerous merchants, it has yet to become more widely accepted and “mainstream.” This could change, however, as more and more users are attracted to cryptocurrencies for the various potential benefits they may provide. In fact, investors have been flocking to the currency in significant numbers, and some even feel that eventually Bitcoin and other cryptocurrencies could replace other traditional payment methods.

Bitcoins can be accepted as a means of payment for products sold or services provided. If you have a brick and mortar store, just display a sign saying “Bitcoin Accepted Here” and many of your customers may well take you up on it; the transactions can be handled with the requisite hardware terminal or wallet address through QR codes and touch screen apps. An online business can easily accept bitcoins by just adding this payment option to the others it offers, like credit cards, PayPal, etc. Online payments will require a Bitcoin merchant tool (an external processor like Coinbase or BitPay). 
In 2013 and 2014, the European Banking Authority[144] and the Financial Industry Regulatory Authority (FINRA), a United States self-regulatory organization,[145] warned that investing in bitcoins carries significant risks. Forbes named bitcoin the best investment of 2013.[146] In 2014, Bloomberg named bitcoin one of its worst investments of the year.[147] In 2015, bitcoin topped Bloomberg's currency tables.[148]
Computing power is often bundled together or "pooled" to reduce variance in miner income. Individual mining rigs often have to wait for long periods to confirm a block of transactions and receive payment. In a pool, all participating miners get paid every time a participating server solves a block. This payment depends on the amount of work an individual miner contributed to help find that block.[82]
If fewer people begin to accept Bitcoin as a currency, these digital units may lose value and could become worthless. There is already plenty of competition, and though Bitcoin has a huge lead over the other 100-odd digital currencies that have sprung up, thanks to its brand recognition and venture capital money, a technological break-through in the form of a better virtual coin is always a threat.

Bitcoin is a new currency that was created in 2009 by an unknown person using the alias Satoshi Nakamoto. Transactions are made with no middle men – meaning, no banks! Bitcoin can be used to book hotels on Expedia, shop for furniture on Overstock and buy Xbox games. But much of the hype is about getting rich by trading it. The price of bitcoin skyrocketed into the thousands in 2017.
In November 2013, the University of Nicosia announced that it would be accepting bitcoin as payment for tuition fees, with the university's chief financial officer calling it the "gold of tomorrow".[85] During November 2013, the China-based bitcoin exchange BTC China overtook the Japan-based Mt. Gox and the Europe-based Bitstamp to become the largest bitcoin trading exchange by trade volume.[86]

This is a rather simple long term model.  And perhaps the biggest question it hinges on is how much adoption will bitcoin achieve?  Coming up with a value for the current price of bitcoin would involve pricing in the risk of low adoption or failure of bitcoin as a currency, which could include being displaced by one or more other digital currencies.  Models often consider the velocity of money, frequently arguing that since bitcoin can support transfers that take less than an hour, the velocity of money in the future bitcoin ecosystem will be higher than the current average velocity of money.  Another view on this though would be that velocity of money is not restricted by today's payment rails in any significant way and that its main determinant is the need or willingness of people to transact.  Therefore, the projected velocity of money could be treated as roughly equal to its current value.
Bitcoin is pseudonymous, meaning that funds are not tied to real-world entities but rather bitcoin addresses. Owners of bitcoin addresses are not explicitly identified, but all transactions on the blockchain are public. In addition, transactions can be linked to individuals and companies through "idioms of use" (e.g., transactions that spend coins from multiple inputs indicate that the inputs may have a common owner) and corroborating public transaction data with known information on owners of certain addresses.[111] Additionally, bitcoin exchanges, where bitcoins are traded for traditional currencies, may be required by law to collect personal information.[112]
Bitcoin's blockchain can be loaded with arbitrary data. In 2018 researchers from RWTH Aachen University and Goethe University identified 1,600 files added to the blockchain, 59 of which included links to unlawful images of child exploitation, politically sensitive content, or privacy violations. "Our analysis shows that certain content, eg, illegal pornography, can render the mere possession of a blockchain illegal."[229]
If you have the required hardware, you can mine bitcoin even if you are not a miner. There are different ways one can mine bitcoin such as cloud mining, mining pool, etc. For cloud mining, all you need to do is to connect to the datacenter and start mining. The good thing about this is that you can mine from anywhere and you don’t need a physical hardware to mine.
According to the European Central Bank, the decentralization of money offered by bitcoin has its theoretical roots in the Austrian school of economics, especially with Friedrich von Hayek in his book Denationalisation of Money: The Argument Refined,[120] in which he advocates a complete free market in the production, distribution and management of money to end the monopoly of central banks.[121]:22
On 6 August 2013, Federal Judge Amos Mazzant of the Eastern District of Texas of the Fifth Circuit ruled that bitcoins are "a currency or a form of money" (specifically securities as defined by Federal Securities Laws), and as such were subject to the court's jurisdiction,[75][76] and Germany's Finance Ministry subsumed bitcoins under the term "unit of account"—a financial instrument—though not as e-money or a functional currency, a classification nonetheless having legal and tax implications.[77]
In January 2014, Zynga[92] announced it was testing bitcoin for purchasing in-game assets in seven of its games. That same month, The D Las Vegas Casino Hotel and Golden Gate Hotel & Casino properties in downtown Las Vegas announced they would also begin accepting bitcoin, according to an article by USA Today. The article also stated the currency would be accepted in five locations, including the front desk and certain restaurants.[93] The network rate exceeded 10 petahash/sec.[94] TigerDirect[95] and[96] started accepting bitcoin.
Bitcoin mining operations take a lot of effort and power, and the sheer amount of competition makes it difficult for newcomers to enter the race and profit. A new miner would not only need to have adequate computing power and the knowledge to use it to outcompete the competition, but would also need the extensive amount of capital necessary to fund the operations.
In June 2014 the network exceeded 100 petahash/sec.[101] On 18 June 2014, it was announced that bitcoin payment service provider BitPay would become the new sponsor of St. Petersburg Bowl under a two-year deal, renamed the Bitcoin St. Petersburg Bowl. Bitcoin was to be accepted for ticket and concession sales at the game as part of the sponsorship, and the sponsorship itself was also paid for using bitcoin.[102]
By 2017, Bitcoin dominance had plummeted from 95% to as low as 40% as a direct result of the usability problems. Fortunately, a large portion of the Bitcoin community, including developers, investors, users, and businesses, still believed in the original vision of Bitcoin -- a low fee, peer to peer electronic cash system that could be used by all the people of the world.
Google Trends structures the chart to represent a relative search interest to the highest points in the chart. A value of 100 is the peak popularity for the term “Bitcoin” and a value of 50 means it was half as popular at that time. A score of 0 indicates that the term was less than 1% as popular as the peak. It’s amazing how the searches relating to Bitcoin have spiked in the past few years.

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]
To heighten financial privacy, a new bitcoin address can be generated for each transaction.[113] For example, hierarchical deterministic wallets generate pseudorandom "rolling addresses" for every transaction from a single seed, while only requiring a single passphrase to be remembered to recover all corresponding private keys.[114] Researchers at Stanford and Concordia universities have also shown that bitcoin exchanges and other entities can prove assets, liabilities, and solvency without revealing their addresses using zero-knowledge proofs.[115] "Bulletproofs," a version of Confidential Transactions proposed by Greg Maxwell, have been tested by Professor Dan Boneh of Stanford.[116] Other solutions such Merkelized Abstract Syntax Trees (MAST), pay-to-script-hash (P2SH) with MERKLE-BRANCH-VERIFY, and "Tail Call Execution Semantics", have also been proposed to support private smart contracts.

The first wallet program, simply named Bitcoin, and sometimes referred to as the Satoshi client, was released in 2009 by Satoshi Nakamoto as open-source code.[10] In version 0.5 the client moved from the wxWidgets user interface toolkit to Qt, and the whole bundle was referred to as Bitcoin-Qt.[99] After the release of version 0.9, the software bundle was renamed Bitcoin Core to distinguish itself from the underlying network.[100][101]
On 18 August 2008, the domain name was registered.[10] Later that year on 31 October, a link to a paper authored by Satoshi Nakamoto titled Bitcoin: A Peer-to-Peer Electronic Cash System[11] was posted to a cryptography mailing list.[10] This paper detailed methods of using a peer-to-peer network to generate what was described as "a system for electronic transactions without relying on trust".[12][13][14] On 3 January 2009, the bitcoin network came into existence with Satoshi Nakamoto mining the genesis block of bitcoin (block number 0), which had a reward of 50 bitcoins.[12][15] Embedded in the coinbase of this block was the text:

In October 2013, the FBI seized roughly 26,000 BTC from website Silk Road during the arrest of alleged owner Ross William Ulbricht.[78][79][80] Two companies, Robocoin and Bitcoiniacs launched the world's first bitcoin ATM on 29 October 2013 in Vancouver, BC, Canada, allowing clients to sell or purchase bitcoin currency at a downtown coffee shop.[81][82][83] Chinese internet giant Baidu had allowed clients of website security services to pay with bitcoins.[84]
Bitcoin is the first cryptocurrency, a concept that was discussed in the late 90s. The first Bitcoin specification and proof of concept was published in 2009 in a cryptography mailing list. The concept was presented by a person or group known as Satoshi Nakamoto. The real identity of Nakamoto has been a mystery since that time, with various theories on who the individual or group may be.