Recall that unique addresses are a proxy for the number of users, because they indicate how many non-zero Bitcoin addresses are in use. This metric has its strengths and weaknesses, which I wrote about here. Also, I have reviewed several other pricing methods which attempt to do the same thing using Metcalfe's Law. You can find those here and here.
It's impossible to say how much bitcoin has increased in price single its earliest incarnation, because its value back then was in the fractions of cents. A conservative estimate, based on bitcoin's current price being around $6,300 per coin, and its early price being less than $0.01, would see bitcoin's value increasing more than 1 million fold in the last decade.

Bitcoin’s first mover advantage, popularity, and network effect has cemented it as the most popular cryptocurrency with the largest market cap. Rivals like Litecoin may have numerous technical advantages over Bitcoin’s algorithm (see more about that here), but they only hold a fraction of Bitcoin’s market cap and their dwindling communities largely consist of loyalists, speculators, and antagonistic anti-Bitcoin buyers.
In 2017, the Bitcoin project and its community split in two. Perhaps the least controversial way to refer to each side is simply by their respective ticker symbols, BTC and BCH. Bitcoin Cash is usually represented by the BCH ticker symbol and is considered by its supporters to be the legitimate continuation of the Bitcoin project as peer-to-peer digital cash.
According to The New York Times, libertarians and anarchists were attracted to the idea. Early bitcoin supporter Roger Ver said: "At first, almost everyone who got involved did so for philosophical reasons. We saw bitcoin as a great idea, as a way to separate money from the state."[119] The Economist describes bitcoin as "a techno-anarchist project to create an online version of cash, a way for people to transact without the possibility of interference from malicious governments or banks".[122] 

After a certain amount of transactions have been verified by a miner, they will receive newly minted bitcoins for their work and thus new bitcoins will be added into circulation, while the number of bitcoins in circulations are now in the multi-millions range, the maximum amount of bitcoins that can ever be created is capped at 21 million. The creation rate is automatically halved every few years as more bitcoins are added into circulation, whilst this system is modeled after gold, mining difficulty is always increasing and makes finding new bitcoins more rare as the number of available bitcoins reaches the 21 million cap.

In January 2012, bitcoin was featured as the main subject within a fictionalized trial on the CBS legal drama The Good Wife in the third-season episode "Bitcoin for Dummies". The host of CNBC's Mad Money, Jim Cramer, played himself in a courtroom scene where he testifies that he doesn't consider bitcoin a true currency, saying "There's no central bank to regulate it; it's digital and functions completely peer to peer".[49]
Mining is a record-keeping service done through the use of computer processing power.[e] Miners keep the blockchain consistent, complete, and unalterable by repeatedly grouping newly broadcast transactions into a block, which is then broadcast to the network and verified by recipient nodes.[64] Each block contains a SHA-256 cryptographic hash of the previous block,[64] thus linking it to the previous block and giving the blockchain its name.[3]:ch. 7[64]
Though transaction fees are optional, miners can choose which transactions to process and prioritize those that pay higher fees.[67] Miners may choose transactions based on the fee paid relative to their storage size, not the absolute amount of money paid as a fee. These fees are generally measured in satoshis per byte (sat/b). The size of transactions is dependent on the number of inputs used to create the transaction, and the number of outputs.[3]:ch. 8
The very first transaction involving Bitcoin occurred between an early adopter and Nakamoto in January 2009. The first transaction in the real world is the notorious instance when a Bitcoin miner chose to buy pizza from Papa John’s. He famously spent 10,000 Bitcoins to buy two pizzas in 2010 in Florida. That transaction alone perfectly shows the dramatic change in value that Bitcoin has experienced over the years.

Jump up ^ Paul Vigna (18 February 2014). "BitBeat: Mt. Gox's Pyrrhic Victory". Money Beat. The Wall Street Journal. Archived from the original on 6 October 2014. Retrieved 30 September 2014. 'Ode to Satoshi' is a bluegrass-style song with an old-timey feel that mixes references to Satoshi Nakamoto and blockchains (and, ahem, 'the fall of old Mt. Gox') with mandolin-picking and harmonicas.
The overwhelming majority of bitcoin transactions take place on a cryptocurrency exchange, rather than being used in transactions with merchants.[133] Delays processing payments through the blockchain of about ten minutes make bitcoin use very difficult in a retail setting. Prices are not usually quoted in units of bitcoin and many trades involve one, or sometimes two, conversions into conventional currencies.[30] Merchants that do accept bitcoin payments may use payment service providers to perform the conversions.[134]
^ Jump up to: a b c d "Statement of Jennifer Shasky Calvery, Director Financial Crimes Enforcement Network United States Department of the Treasury Before the United States Senate Committee on Banking, Housing, and Urban Affairs Subcommittee on National Security and International Trade and Finance Subcommittee on Economic Policy" (PDF). Financial Crimes Enforcement Network. 19 November 2013. Archived (PDF) from the original on 9 October 2016. Retrieved 1 June 2014.