Albert A. Mullin
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Albert A. Mullin
Albert Mullin (August 25, 1933 – May 16, 2017) was an American engineer and Mathematician who is best known for his postulation of the Euclid–Mullin sequence. Biography Early life Albert Mullin was born on August 25, 1933 to LeRoy Mullin and Alleyne Mullin in Lynn, Massachusetts. He earned his bachelor's degree in Electrical Engineering from Syracuse University in 1955. He went on to earn a master's degree in Electrical Engineering from MIT and a master's degree in Mathematics from the University of Illinois. Career Albert became a commissioned Army officer and served for a period of 38 years. He retired from the Army in 1993 having attained the rank of Colonel. He continued to serve as an army civilian with the Space and Strategic Command. During his time as an Army officer and continuing on through his death he was a periodic contributor to the Journal of the American Mathematical Society, the Journal of Symbolic Logic, and the Notre Dame Journal of Formal Logic. Hon ...
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Lynn, Massachusetts
Lynn is the eighth-largest municipality in Massachusetts and the largest city in Essex County. Situated on the Atlantic Ocean, north of the Boston city line at Suffolk Downs, Lynn is part of Greater Boston's urban inner core. Settled by Europeans in 1629, Lynn is the 5th oldest colonial settlement in the Commonwealth. An early industrial center, Lynn was long colloquially referred to as the "City of Sin", owing to its historical reputation for crime and vice. Today, however, the city is known for its contemporary public art, immigrant population, historic architecture, downtown cultural district, loft-style apartments, and public parks and open spaces, which include the oceanfront Lynn Shore Reservation; the 2,200-acre, Frederick Law Olmsted-designed Lynn Woods Reservation; and the High Rock Tower Reservation, High Rock Reservation and Park designed by Olmsted Brothers, Olmsted's sons. Lynn also is home to Lynn Heritage State Park, the southernmost portion of the Essex Co ...
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Huntsville, Alabama
Huntsville is a city in Madison County, Limestone County, and Morgan County, Alabama, United States. It is the county seat of Madison County. Located in the Appalachian region of northern Alabama, Huntsville is the most populous city in the state. Huntsville was founded within the Mississippi Territory in 1805 and became an incorporated town in 1811. When Alabama was admitted as a state in 1819, Huntsville was designated for a year as the first capital, before that was moved to more central settlements. The city developed across nearby hills north of the Tennessee River, adding textile mills in the late nineteenth century. Its major growth has taken place since World War II. During the war, the Army established Redstone Arsenal near here with a chemical weapons plant, and nearby related facilities. After the war, additional research was conducted at Redstone Arsenal on rockets, followed by adaptations for space exploration. NASA's Marshall Space Flight Center, the Unit ...
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Engineer
Engineers, as practitioners of engineering, are professionals who invent, design, analyze, build and test machines, complex systems, structures, gadgets and materials to fulfill functional objectives and requirements while considering the limitations imposed by practicality, regulation, safety and cost. "Science is knowledge based on our observed facts and tested truths arranged in an orderly system that can be validated and communicated to other people. Engineering is the creative application of scientific principles used to plan, build, direct, guide, manage, or work on systems to maintain and improve our daily lives." The word ''engineer'' (Latin ) is derived from the Latin words ("to contrive, devise") and ("cleverness"). The foundational qualifications of an engineer typically include a four-year bachelor's degree in an engineering discipline, or in some jurisdictions, a master's degree in an engineering discipline plus four to six years of peer-reviewed professiona ...
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Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ...
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Euclid–Mullin Sequence
The Euclid–Mullin sequence is an infinite sequence of distinct prime numbers, in which each element is the least prime factor of one plus the product of all earlier elements. They are named after the ancient Greek mathematician Euclid, because their definition relies on an idea in Euclid's proof that there are infinitely many primes, and after Albert A. Mullin, who asked about the sequence in 1963. The first 51 elements of the sequence are :2, 3, 7, 43, 13, 53, 5, 6221671, 38709183810571, 139, 2801, 11, 17, 5471, 52662739, 23003, 30693651606209, 37, 1741, 1313797957, 887, 71, 7127, 109, 23, 97, 159227, 643679794963466223081509857, 103, 1079990819, 9539, 3143065813, 29, 3847, 89, 19, 577, 223, 139703, 457, 9649, 61, 4357, 87991098722552272708281251793312351581099392851768893748012603709343, 107, 127, 3313, 227432689108589532754984915075774848386671439568260420754414940780761245893, 59, 31, 211... These are the only known elements . Finding the next one requires finding the leas ...
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Massachusetts Institute Of Technology
The Massachusetts Institute of Technology (MIT) is a private land-grant research university in Cambridge, Massachusetts. Established in 1861, MIT has played a key role in the development of modern technology and science, and is one of the most prestigious and highly ranked academic institutions in the world. Founded in response to the increasing industrialization of the United States, MIT adopted a European polytechnic university model and stressed laboratory instruction in applied science and engineering. MIT is one of three private land grant universities in the United States, the others being Cornell University and Tuskegee University. The institute has an urban campus that extends more than a mile (1.6 km) alongside the Charles River, and encompasses a number of major off-campus facilities such as the MIT Lincoln Laboratory, the Bates Center, and the Haystack Observatory, as well as affiliated laboratories such as the Broad and Whitehead Institutes. , 98 ...
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United States Strategic Command
United States Strategic Command (USSTRATCOM) is one of the eleven unified combatant commands in the United States Department of Defense. Headquartered at Offutt Air Force Base, Nebraska, USSTRATCOM is responsible for strategic nuclear deterrence, global strike, and operating the Defense Department's Global Information Grid. It also provides a host of capabilities to support the other combatant commands, including integrated missile defense; and global command, control, communications, computers, intelligence, surveillance, and reconnaissance (C4ISR). This command exists to give "national leadership a unified resource for greater understanding of specific threats around the world and the means to respond to those threats rapidly". Mission statement USSTRATCOM employs nuclear, cyber, global strike, joint electronic warfare, missile defense, and intelligence capabilities to deter aggression, decisively and accurately respond if deterrence fails, assure allies, shape adversary b ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential in in ...
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University Of Notre Dame
The University of Notre Dame du Lac, known simply as Notre Dame ( ) or ND, is a private Catholic research university in Notre Dame, Indiana, outside the city of South Bend. French priest Edward Sorin founded the school in 1842. The main campus covers 1,261 acres (510 ha) in a suburban setting and contains landmarks such as the Golden Dome, the ''Word of Life'' mural (commonly known as ''Touchdown Jesus''), Notre Dame Stadium, and the Basilica. Originally for men, although some women earned degrees in 1918, the university began formally accepting undergraduate female students in 1972. Notre Dame has been recognized as one of the top universities in the United States. The university is organized into seven schools and colleges. Notre Dame's graduate program includes more than 50 master, doctoral and professional degrees offered by the six schools, including the Notre Dame Law School and an MD–PhD program offered in combination with the Indiana University School of Medicine ...
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Bronze Star Medal
The Bronze Star Medal (BSM) is a United States Armed Forces decoration awarded to members of the United States Armed Forces for either heroic achievement, heroic service, meritorious achievement, or meritorious service in a combat zone. When the medal is awarded by the Army, Air Force, or Space Force for acts of valor in combat, the "V" device is authorized for wear on the medal. When the medal is awarded by the Navy, Marine Corps, or Coast Guard for acts of valor or meritorious service in combat, the Combat "V" is authorized for wear on the medal. Officers from the other Uniformed Services of the United States are eligible to receive this award, as are foreign soldiers who have served with or alongside a service branch of the United States Armed Forces. Civilians serving with U.S. military forces in combat are also eligible for the award. For example, UPI reporter Joe Galloway was awarded the Bronze Star with "V" device during the Vietnam War for rescuing a badly wound ...
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Mathematicians From Massachusetts
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia o ...
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Number Theorists
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 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 analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic objects in ...
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