Primecoin

	Primecoin Primecoin (Abbreviation: XPM; sign: Ψ) is a cryptocurrency that implements a proof-of-work system that searches for chains of prime numbers. History Primecoin was launched in 2013 by Sunny King, who also founded peercoin. Unlike other cryptocurrencies, which are mined using algorithms that solved mathematical problems with no extrinsic value, mining Primecoin involves producing chains of prime numbers (Cunningham and bi-twin chains). These are useful to scientists and mathematicians and meet the requirements for a proof of work Proof of work (PoW) is a form of Cryptography, cryptographic proof (truth), proof in which one party (the ''prover'') proves to others (the ''verifiers'') that a certain amount of a specific computational effort has been expended. Verifiers can s ... system of being hard to compute but easy to verify and having an adjustable difficulty. Shortly after its launch, some trade journals reported that the rush of over 18,000 new users seeking to mine Pri ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Cunningham Chain In mathematics, a Cunningham chain is a certain sequence of prime numbers. Cunningham chains are named after mathematician A. J. C. Cunningham. They are also called chains of nearly doubled primes. Definition A Cunningham chain of the first kind of length ''n'' is a sequence of prime numbers (''p''1, ..., ''p''''n'') such that ''p''''i''+1 = 2''p''''i'' + 1 for all 1 ≤ ''i'' < ''n''. (Hence each term of such a chain except the last is a Sophie Germain prime , and each term except the first is a safe prime ). It follows that : $\begin p_2 & = 2p_1+1, \\ p_3 & = 4p_1+3, \\ p_4 & = 8p_1+7, \\ & \ \vdots \\ p_i & = 2^p_1 + (2^-1), \end$ or, by setting $a = \frac$ (the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Bi-twin Chain In number theory, a bi-twin chain of length ''k'' + 1 is a sequence of natural numbers : n-1,n+1,2n-1,2n+1, \dots, 2^k n - 1, 2^k n + 1 \, in which every number is prime.Eric W. Weisstein, ''CRC Concise Encyclopedia of Mathematics'', CRC Press, 2010, page 249. The numbers n-1, 2n-1, \dots, 2^kn - 1 form a Cunningham chain of the first kind of length k + 1, while n+1, 2n + 1, \dots, 2^kn + 1 forms a Cunningham chain of the second kind. Each of the pairs 2^in - 1, 2^in+ 1 is a pair of twin primes. Each of the primes 2^in - 1 for 0 \le i \le k - 1 is a Sophie Germain prime and each of the primes 2^in - 1 for 1 \le i \le k is a safe prime. Largest known bi-twin chains ''q''# denotes the primorial 2×3×5×7×...×''q''. , the longest known bi-twin chain is of length 8. Relation with other properties Related chains * Cunningham chain Related properties of primes/pairs of primes * Twin primes * Sophie Germain prime is a prime p such that 2p + 1 is also prime. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	Peercoin Peercoin, also known as Peer-to-Peer Coin, PP Coin, or PPC is a cryptocurrency utilizing both proof-of-stake and proof-of-work systems. History Peercoin is based on an August 2012 paper which listed the authors as Scott Nadal and Sunny King. King, who also created Primecoin, is a pseudonym. Peercoin was the first implementation of a proof-of-stake–based cryptocurrency. The Peercoin source code is distributed under the MIT/X11 The X Window System (X11, or simply X) is a windowing system for bitmap displays, common on Unix-like operating systems. X provides the basic framework for a GUI environment: drawing and moving windows on the display device and interacting wi ... software license. Economics Peercoin uses both the proof-of-work and proof-of-stake algorithms. Both are used to spread the distribution of new coins. Up to 99% of all Peercoins is created with PoW. Proof-of-stake is used to secure the network: The chain with longest PoS coin age wins in case of a bl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Peer-to-peer Peer-to-peer (P2P) computing or networking is a distributed application architecture that partitions tasks or workloads between peers. Peers are equally privileged, equipotent participants in the network. They are said to form a peer-to-peer network of nodes. Peers make a portion of their resources, such as processing power, disk storage or network bandwidth, directly available to other network participants, without the need for central coordination by servers or stable hosts. Peers are both suppliers and consumers of resources, in contrast to the traditional client–server model in which the consumption and supply of resources are divided. While P2P systems had previously been used in many application domains, the architecture was popularized by the file sharing system Napster, originally released in 1999. The concept has inspired new structures and philosophies in many areas of human interaction. In such social contexts, peer-to-peer as a meme refers to the egalitarian so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Gale (publisher) Gale is a global provider of research and digital learning resources. The company is based in Farmington Hills, Michigan, west of Detroit. It has been a division of Cengage since 2007. The company, formerly known as Gale Research and the Gale Group, is active in research and educational publishing for Public libraries, public, Academic libraries, academic, and school libraries, and businesses. The company is known for its full-text magazine and newspaper databases, Gale OneFile (formerly known as Infotrac), and other online databases subscribed by libraries, as well as multi-volume reference works, especially in the areas of religion, history, and social science. Founded in Detroit, Michigan, in 1954 by Frederick Gale Ruffner Jr., the company was acquired by the International Thomson Organization (later the Thomson Corporation) in 1985 before its 2007 sale to Cengage. History In 1998, Gale Research merged with Information Access Company and Primary Source Media, two companies a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Cryptocurrency Projects A cryptocurrency, crypto-currency, or crypto is a digital currency designed to work as a medium of exchange through a computer network that is not reliant on any central authority, such as a government or bank, to uphold or maintain it. It is a decentralized system for verifying that the parties to a transaction have the money they claim to have, eliminating the need for traditional intermediaries, such as banks, when funds are being transferred between two entities. Individual coin ownership records are stored in a digital ledger, which is a computerized database using strong cryptography to secure transaction records, control the creation of additional coins, and verify the transfer of coin ownership. Despite their name, cryptocurrencies are not considered to be currencies in the traditional sense, and while varying treatments have been applied to them, including classification as commodities, securities, and currencies, cryptocurrencies are generally viewed as a distinct ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
	O'Reilly Media O'Reilly Media (formerly O'Reilly & Associates) is an American learning company established by Tim O'Reilly that publishes books, produces tech conferences, and provides an online learning platform. Its distinctive brand features a woodcut of an animal on many of its book covers. Company Early days The company began in 1978 as a private consulting firm doing technical writing, based in the Cambridge, Massachusetts area. In 1984, it began to retain publishing rights on manuals created for Unix vendors. A few 70-page "Nutshell Handbooks" were well-received, but the focus remained on the consulting business until 1988. After a conference displaying O'Reilly's preliminary Xlib manuals attracted significant attention, the company began increasing production of manuals and books. The original cover art consisted of animal designs developed by Edie Freedman because she thought that Unix program names sounded like "weird animals". Global Network Navigator In 1993 O'Reilly Media creat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Columbia University Press Columbia University Press is a university press based in New York City, and affiliated with Columbia University. It is currently directed by Jennifer Crewe (2014–present) and publishes titles in the humanities and sciences, including the fields of literary and cultural studies, history, social work, sociology, religion, film, and international studies. History Founded in May 1893, In 1933 the first four volumes of the ''History of the State of New York'' were published. In early 1940s revenues rises, partially thanks to the ''Encyclopedia'' and the government's purchase of 12,500 copies for use by the military. Columbia University Press is notable for publishing reference works, such as ''The Columbia Encyclopedia'' (1935–present), ''The Columbia Granger's Index to Poetry'' (online as ''The Columbia World of Poetry Online'') and ''The Columbia Gazetteer of the World'' (also online) and for publishing music. First among American university presses to publish in electronic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]
picture info	Block Reward A cryptocurrency, crypto-currency, or crypto is a digital currency designed to work as a medium of exchange through a computer network that is not reliant on any central authority, such as a government or bank, to uphold or maintain it. It is a decentralized system for verifying that the parties to a transaction have the money they claim to have, eliminating the need for traditional intermediaries, such as banks, when funds are being transferred between two entities. Individual coin ownership records are stored in a digital ledger, which is a computerized database using strong cryptography to secure E-commerce, transaction records, control the creation of additional coins, and verify the transfer of coin ownership. Despite their name, cryptocurrencies are not considered to be Currency, currencies in the traditional sense, and while varying treatments have been applied to them, including classification as Commodity, commodities, Security (finance), securities, and currencies, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu]