John B. Cosgrave
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John B. Cosgrave
Dr. John B. Cosgrave (born 5 January 1946) is an Irish mathematician specialising in number theory. Born in Bailieborough, County Cavan, he was educated at Royal Holloway College, London, he lectured in Carysfort College (Blackrock, Dublin) and St Patrick's College of Education (Drumcondra). Other In January 1999, while preparing some work for his students, he identified a highly structured prime number with exactly two thousand digits. Dubbing this prime a millennium prime, he wrote an email about it to a niece and nephew, which was subsequently published by Folding Landscapes, the publishing house of the cartographer Tim Robinson. He donated his author royalties to the Irish Cancer Society, and subsequently wrote an ''Irishman's Diary'' column about it for the Irish Times newspaper. In July 1999 – while a participant in the Proth Search Group – he became the discoverer of the then-largest known composite Fermat number, a record which his St. Patrick's College (Drumcondr ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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Bailieborough
Bailieborough or Bailieboro (; ) is a town in County Cavan, Ireland. , its population was 2,683, up from 1,529 as of the 1996 census. Bailieborough's proximity to the N3 road (Ireland), N3 National Road has made it a commuter town. History Plantation Before the Plantation of Ulster, the area covered by the town was known as Killechally, Killycolly and Killycollie (). The modern town was founded by William Bailie, a Scottish people, Scottish planter who was granted the lands of Tonergie (Tandragee) in East Breifne by James VI and I, James I, the King of England. This area was known as the Barony of Clankee, later known as Bailieburrow. The conditions of being granted these lands were that within 2 years Bailie had to have constructed a house and bawn for himself, along with building tenant houses so he could collect revenue in the form of rent. An annuity would have to be paid to the English monarch, this annuity would also be reduced if Bailie gave preference to settling Sco ...
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Carysfort College
Our Lady of Mercy College, Carysfort (commonly known as Carysfort College) was a ''College of Education'' in Dublin, Ireland from its foundation in 1877 until its closure in 1988. Educating primary school teachers, and located in a parkland campus in Blackrock, it was a recognised college of the National University of Ireland from April 1975. The site is now the premises of the Michael Smurfit Graduate Business School, part of University College Dublin. Situation The college occupied a part of the Carysfort Estate, on Carysfort Avenue, Blackrock, about a kilometre from Blackrock village, and with frontages on multiple streets. The estate comprised around , with extensive lawns, mature trees and the Carysfort-Maretimo Stream. Aside from the college, the estate accommodated the headquarters of the Sisters of Mercy, a novitiate for the order, a hall of residence, an orphanage, a restaurant, a national school, and several gate lodges, occupied by current or former staff. History C ...
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St Patrick's College Of Education
St Patrick's College ( ga, Coláiste Phádraig), often known as St Pat's, was a third level institution in Ireland, the leading function of which was as the country's largest primary teacher training college, which had at one time up to 2,000 students. Founded in Drumcondra, in the northern suburbs of Dublin, in 1875, with a Roman Catholic ethos, it offered a number of undergraduate courses, primarily in primary education and arts, and in time postgraduate courses too, mostly in education and languages. On 30 September 2016, St Patrick's was dissolved as an institution and incorporated into Dublin City University, along with Mater Dei Institute of Education, All Hallows College, and the Church of Ireland College of Education. The teacher training elements of those combined institutions currently form DCU's fifth faculty, the ''DCU Institute of Education''. All humanities-based courses at the former St Patrick's were then absorbed by DCU's Faculty of Humanities and Social Scienc ...
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Tim Robinson (cartographer)
Timothy Drever Robinson (1935 – 3 April 2020) was an English writer, artist and cartographer. His most famous works include books about Ireland's Aran Islands and Connemara, in the West of Ireland. He was also well known for producing exceptionally detailed maps of the Aran Islands, The Burren, and Connemara, what he called "the ABC of earth wonders". Early life and education Born in England, he studied mathematics at Sidney Sussex College, Cambridge. Career After a career as a visual artist using the name Timothy Drever, in Istanbul, Vienna and London, he settled in the Aran Islands, off the coast of County Galway in the 1970s, and began a detailed study of the landscape of the West Region, Ireland. Robinson produced his first map of the Aran Islands in 1975 with a second edition in 1980, and "Oileáin Árainn", an accompaniment to the map in 1996. After his initial map of Aran, in 1977, he produced a two-inch map of the uplands of North-West Clare, covering The Burren, with ...
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Irish Times
''The Irish Times'' is an Irish daily broadsheet newspaper and online digital publication. It launched on 29 March 1859. The editor is Ruadhán Mac Cormaic. It is published every day except Sundays. ''The Irish Times'' is considered a newspaper of record for Ireland. Though formed as a Protestant nationalist paper, within two decades and under new owners it had become the voice of British unionism in Ireland. It is no longer a pro unionist paper; it presents itself politically as "liberal and progressive", as well as being centre-right on economic issues. The editorship of the newspaper from 1859 until 1986 was controlled by the Anglo-Irish Protestant minority, only gaining its first nominal Irish Catholic editor 127 years into its existence. The paper's most prominent columnists include writer and arts commentator Fintan O'Toole and satirist Miriam Lord. The late Taoiseach Garret FitzGerald was once a columnist. Senior international figures, including Tony Blair and Bill Cl ...
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Prime Number
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, or , involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order. The property of being prime is called primality. A simple but slow method of checking the primality of a given number n, called trial division, tests whether n is a multiple of any integer between 2 and \sqrt. Faster algorithms include the Miller–Rabin primality test, which is fast but has a small chance of error, and the AKS primality test, which always pr ...
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Fermat Numbers
In mathematics, a Fermat number, named after Pierre de Fermat, who first studied them, is a positive integer of the form :F_ = 2^ + 1, where ''n'' is a non-negative integer. The first few Fermat numbers are: : 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, ... . If 2''k'' + 1 is prime and ''k'' > 0, then ''k'' must be a power of 2, so 2''k'' + 1 is a Fermat number; such primes are called Fermat primes. , the only known Fermat primes are ''F''0 = 3, ''F''1 = 5, ''F''2 = 17, ''F''3 = 257, and ''F''4 = 65537 ; heuristics suggest that there are no more. Basic properties The Fermat numbers satisfy the following recurrence relations: : F_ = (F_-1)^+1 : F_ = F_ \cdots F_ + 2 for ''n'' ≥ 1, : F_ = F_ + 2^F_ \cdots F_ : F_ = F_^2 - 2(F_-1)^2 for ''n'' ≥ 2. Each of these relations can be proved by mathematical induction. From the second equation, we can deduce Goldbach's theorem (named after Christian Goldbach): no two Fermat numbers share a common integer factor ...
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Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic function, integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of Complex analysis, analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes ...
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Irish Mathematicians
Irish may refer to: Common meanings * Someone or something of, from, or related to: ** Ireland, an island situated off the north-western coast of continental Europe ***Éire, Irish language name for the isle ** Northern Ireland, a constituent unit of the United Kingdom of Great Britain and Northern Ireland ** Republic of Ireland, a sovereign state * Irish language, a Celtic Goidelic language of the Indo-European language family spoken in Ireland * Irish people, people of Irish ethnicity, people born in Ireland and people who hold Irish citizenship Places * Irish Creek (Kansas), a stream in Kansas * Irish Creek (South Dakota), a stream in South Dakota * Irish Lake, Watonwan County, Minnesota * Irish Sea, the body of water which separates the islands of Ireland and Great Britain People * Irish (surname), a list of people * William Irish, pseudonym of American writer Cornell Woolrich (1903–1968) * Irish Bob Murphy, Irish-American boxer Edwin Lee Conarty (1922–1961) * Irish McCal ...
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Living People
Related categories * :Year of birth missing (living people) / :Year of birth unknown * :Date of birth missing (living people) / :Date of birth unknown * :Place of birth missing (living people) / :Place of birth unknown * :Year of death missing / :Year of death unknown * :Date of death missing / :Date of death unknown * :Place of death missing / :Place of death unknown * :Missing middle or first names See also * :Dead people * :Template:L, which generates this category or death years, and birth year and sort keys. : {{DEFAULTSORT:Living people 21st-century people People by status ...
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