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Palindromic Prime
In mathematics, a palindromic prime (sometimes called a palprime) is a prime number that is also a palindromic number. Palindromicity depends on the base of the number system and its notational conventions, while primality is independent of such concerns. The first few decimal palindromic primes are: : 2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929, … Except for 11, all palindromic primes have an odd number of digits, because the divisibility test for 11 tells us that every palindromic number with an even number of digits is a multiple of 11. It is not known if there are infinitely many palindromic primes in base 10. For any base, almost all palindromic numbers are composite, i.e. the ratio between palindromic composites and all palindromes less than ''n'' tends to 1. A few decorative examples do however exist; in base 10 the following are primes: 11, 122333221, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2 (number)
2 (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and the only even prime number. Because it forms the basis of a duality, it has religious and spiritual significance in many cultures. Mathematics The number 2 is the second natural number after 1. Each natural number, including 2, is constructed by succession, that is, by adding 1 to the previous natural number. 2 is the smallest and the only even prime number, and the first Ramanujan prime. It is also the first superior highly composite number, and the first colossally abundant number. An integer is determined to be even if it is divisible by two. When written in base 10, all multiples of 2 will end in 0, 2, 4, 6, or 8; more generally, in any even base, even numbers will end with an even digit. A digon is a polygon with two sides (or edges) and two vertices. Two distinct points in a plane are always sufficient to define a unique line in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Binary Numeral System
A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method for representing numbers that uses only two symbols for the natural numbers: typically "0" ( zero) and "1" ( one). A ''binary number'' may also refer to a rational number that has a finite representation in the binary numeral system, that is, the quotient of an integer by a power of two. The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation. History The modern binary number system was studied in Europe in the 16th and 17th centuries by Thomas Harrio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Classes Of Prime Numbers
Class, Classes, or The Class may refer to: Common uses not otherwise categorized * Class (biology), a taxonomic rank * Class (knowledge representation), a collection of individuals or objects * Class (philosophy), an analytical concept used differently from such group phenomena as "types" or "kinds" * Class (set theory), a collection of sets that can be unambiguously defined by a property that all its members share * Hazard class, a dangerous goods classification * Social class, the hierarchical arrangement of individuals in society, usually defined by wealth and occupation * Working class, can be defined by rank, income or collar Arts, entertainment, and media * "The Class" (song), 1959 Chubby Checker song * Character class in role-playing games and other genres * Class 95 (radio station), a Singaporean radio channel Films * ''Class'' (film), 1983 American film * ''The Class'' (2007 film), 2007 Estonian film * ''The Class'' (2008 film), 2008 film (''Entre les murs'') Telev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Paulo Ribenboim
Paulo Ribenboim (born March 13, 1928) is a Brazilian-Canadian mathematician who specializes in number theory. Biography Ribenboim was born into a Jewish family in Recife, Brazil. He received his BSc in mathematics from the University of São Paulo in 1948, and won a fellowship to study with Jean Dieudonné in France at the University of Nancy in the early 1950s, where he became a close friend of Alexander Grothendieck. He has contributed to the theory of ideals and of valuations. Ribenboim has authored 246 publications including 13 books. He has been at Queen's University in Kingston, Ontario, since the 1960s, where he remains a professor emeritus. Jean Dieudonné was one of his doctoral advisors. Andrew Granville, Jan Minac, Karl Dilcher and Aron Simis have been doctoral students of Ribenboim. The Ribenboim Prize of the Canadian Number Theory Association is named in his honor. Personal life In 1951, Ribenboim married Huguette Demangelle, a French Catholic woman wh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
13 (number)
13 (thirteen) is the natural number following 12 (number), 12 and preceding 14 (number), 14. Folklore surrounding the number 13 appears in many cultures around the world: one theory is that this is due to the cultures employing lunar-solar calendars (there are approximately 12.41 lunations per solar year, and hence 12 "true months" plus a smaller, and often portentous, thirteenth month). This can be witnessed, for example, in the "Twelve Days of Christmas" of Western European tradition. In mathematics The number 13 is a prime number, happy number and a lucky number. It is a twin prime with 11 (number), 11, as well as a cousin prime with 17 (number), 17. It is the second of only 3 Wilson prime, Wilson primes: 5, 13, and 563 (number), 563. A 13-sided regular polygon is called a tridecagon. List of basic calculations In languages Grammar * In all Germanic languages, 13 is the first Compound (linguistics), compound number; the numbers 11 and 12 have their own names. * The ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
666 (number)
666 (six hundred ndsixty-six) is the natural number following 665 and preceding 667. In Christianity, 666 is referred to in most manuscripts of chapter 13 of the Book of Revelation of the New Testament as the "number of the beast."Beale, Gregory K. (1999). The Book of Revelation: A Commentary on the Greek Text. Grand Rapids, Michigan: Wm. B. Eerdmans Publishing. p. 718. . Retrieved 9 July 2012. In mathematics 666 is the sum of the first thirty-six natural numbers, which makes it a triangular number: :\sum_^ i = 1 + 2 + 3 + \cdots + 34 + 35 + 36 = 666. In fact, 666 is the largest triangular number that is also a repdigit. Since 36 is a triangular number too, 666 is a doubly triangular number. 666 is the sum of two consecutive squares of triangular numbers: , and the difference of 21² and 15² is: , 666 is a congruent number, as it is possible to make a right triangle with rationally numbered side lengths whose area is 666. The number of integers which are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hell
In religion and folklore, hell is a location or state in the afterlife in which souls are subjected to punishment after death. Religions with a linear divine history sometimes depict hells as eternal destinations, such as Christianity and Islam, whereas religions with reincarnation usually depict a hell as an intermediary period between incarnations, as is the case in the Indian religions. Religions typically locate hell in another dimension or under Earth's surface. Other afterlife destinations include heaven, paradise, purgatory, limbo, and the underworld. Other religions, which do not conceive of the afterlife as a place of punishment or reward, merely describe an abode of the dead, the grave, a neutral place that is located under the surface of Earth (for example, see Kur, Hades, and Sheol). Such places are sometimes equated with the English word ''hell'', though a more correct translation would be "underworld" or "world of the dead". The ancient Mesopotamian, Greek, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Belphegor
Belphegor (or Baal Peor, Hebrew: בַּעַל-פְּעוֹר baʿal-pəʿōr – “''Lord of the Gap''”) is, in Christianity, a demon associated with one of the seven deadly sins. According to religious tradition, he helps people make discoveries. He seduces people by proposing incredible inventions that will make them rich. According to some demonologists from the 17th century, his powers are strongest in April. The German bishop and witch hunter Peter Binsfeld (ca. 1540–ca.1600) wrote that Belphegor tempts through laziness. According to Binsfeld's ''Classification of Demons'', Belphegor is the main demon of the deadly sin known as sloth in the Christian tradition. The anonymous author of the Lollard tract ''The Lanterne of Light'', however, believed Belphegor to embody the sin of gluttony rather than sloth. Belphegor derives from the Assyrian Baal-Peor, a Baal worshipped at Mount Peor, to whom the Israelites were associated in Shittim ( Numbers 25:3) and who was associ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Superstition
A superstition is any belief or practice considered by non-practitioners to be irrational or supernatural, attributed to fate or magic (supernatural), magic, perceived supernatural influence, or fear of that which is unknown. It is commonly applied to beliefs and practices surrounding luck, amulets, astrology, fortune telling, Spirit (animating force), spirits, and certain paranormal wikt: entity, entities, particularly the belief that future events can be foretold by specific unrelated prior events. The word ''superstition'' is also used to refer to a religion not practiced by the majority of a given society regardless of whether the prevailing religion contains alleged superstitions or to all religions by the antireligion, antireligious. Contemporary use Definitions of the term vary, but they commonly describe superstitions as irrational beliefs at odds with scientific knowledge of the world. Stuart Vyse proposes that a superstition's "presumed mechanism of action is inc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Integer Sequence
In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified ''explicitly'' by giving a formula for its ''n''th term, or ''implicitly'' by giving a relationship between its terms. For example, the sequence 0, 1, 1, 2, 3, 5, 8, 13, ... (the Fibonacci number, Fibonacci sequence) is formed by starting with 0 and 1 and then adding any two consecutive terms to obtain the next one: an implicit description . The sequence 0, 3, 8, 15, ... is formed according to the formula ''n''2 − 1 for the ''n''th term: an explicit definition. Alternatively, an integer sequence may be defined by a property which members of the sequence possess and other integers do not possess. For example, we can determine whether a given integer is a perfect number, , even though we do not have a formula for the ''n''th perfect number. Computable and definable sequences An integer sequence is computable function, computable if th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
