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103 (number)
103 (one hundred [and] three) is the natural number following 102 (number), 102 and preceding 104 (number), 104. In mathematics 103 is the 27th prime number. The previous prime is 101 (number), 101, making them both twin primes. It is also a happy number. 103 is a strictly non-palindromic number. See also * 103 (other) References {{Number-stub Integers ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Natural Number
In mathematics, the natural numbers are those numbers used for counting (as in "there are ''six'' coins on the table") and ordering (as in "this is the ''third'' largest city in the country"). Numbers used for counting are called ''Cardinal number, cardinal numbers'', and numbers used for ordering are called ''Ordinal number, ordinal numbers''. Natural numbers are sometimes used as labels, known as ''nominal numbers'', having none of the properties of numbers in a mathematical sense (e.g. sports Number (sports), jersey numbers). Some definitions, including the standard ISO/IEC 80000, ISO 80000-2, begin the natural numbers with , corresponding to the non-negative integers , whereas others start with , corresponding to the positive integers Texts that exclude zero from the natural numbers sometimes refer to the natural numbers together with zero as the whole numbers, while in other writings, that term is used instead for the integers (including negative integers). The natural ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
102 (number)
102 (one hundred ndtwo) is the natural number following 101 and preceding 103. In mathematics 102 is an abundant number and a semiperfect number. It is a sphenic number. The sum of Euler's totient function φ(''x'') over the first eighteen integers is 102. 102 is the third base 10 polydivisible number, since 1 is divisible by 1, 10 is divisible by 2 and 102 is divisible by 3. This also shows that 102 is a Harshad number. 102 is the first 3-digit number divisible by the numbers 3, 6, 17, 34 and 51. 10264 + 1 is a prime number There are 102 vertices in the Biggs-Smith graph. In science *The atomic number of nobelium, an actinide. In other fields 102 is also: * The emergency telephone number for police in Ukraine and Belarus * The emergency telephone number for fire in Israel * The emergency telephone number for ambulance in parts of India * The emergency telephone number for ambulance in Maldives See also * List of highways numbered 102 * One Hundred and Two, a song by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
104 (number)
104 (one hundred ndfour) is the natural number following 103 and preceding 105. In mathematics 104 is a primitive semiperfect number and a composite number, with its divisors being 1, 2, 4, 8, 13, 26, 52 and 104. As it has 8 divisors total, and 8 is one of those divisors, 104 is a refactorable number. The distinct prime factors of 104 add up to 15, and so do the ones of 105, hence the two numbers form a Ruth-Aaron pair under the first definition. In regular geometry, 104 is the smallest number of unit line segments that can exist in a plane with four of them touching at every vertex.A figure made up of a row of 4 adjacent congruent rectangles is divided into 104 regions upon drawing diagonals of all possible rectangles φ(104) = φ(σ(104)). In science *The atomic number of rutherfordium. *Number of degrees Fahrenheit corresponding to 40 Celsius. In other fields 104 is also: *The number of Corinthian columns in the Temple of Olympian Zeus, the largest temple ever built ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
101 (number)
101 (one hundred [and] one) is the natural number following 100 (number), 100 and preceding 102 (number), 102. It is variously pronounced "one hundred and one" / "a hundred and one", "one hundred one" / "a hundred one", and "one oh one". As an Ordinal number (linguistics), ordinal number, 101st (one hundred [and] first), rather than 101th, is the correct form. In mathematics 101 is: *the 26th prime number, and the smallest above 100. *a palindromic number in base 10, and so a palindromic prime. *a Chen prime since 103 (number), 103 is also prime, with which it makes a twin prime pair. *a sexy prime since 107 and 113 are also prime, with which it makes a sexy prime triplet. *a unique prime, because the period length of its reciprocal is unique among primes. *an Eisenstein prime with no imaginary part and real part of the form 3n - 1. *the fifth alternating factorial. *a centered decagonal number. *the only existing prime with alternating 1s and 0s in base 10 and the largest known ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Twin Prime
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin prime'' is used for a pair of twin primes; an alternative name for this is prime twin or prime pair. Twin primes become increasingly rare as one examines larger ranges, in keeping with the general tendency of gaps between adjacent primes to become larger as the numbers themselves get larger. However, it is unknown whether there are infinitely many twin primes (the so-called twin prime conjecture) or if there is a largest pair. The breakthrough work of Yitang Zhang in 2013, as well as work by James Maynard, Terence Tao and others, has made substantial progress towards proving that there are infinitely many twin primes, but at present this remains unsolved. Properties Usually the pair (2, 3) is not considered to be a pair of twin primes. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Happy Number
In number theory, a happy number is a number which eventually reaches 1 when replaced by the sum of the square of each digit. For instance, 13 is a happy number because 1^2+3^2=10, and 1^2+0^2=1. On the other hand, 4 is not a happy number because the sequence starting with 4^2=16 and 1^2+6^2=37 eventually reaches 2^2+0^2=4, the number that started the sequence, and so the process continues in an infinite cycle without ever reaching 1. A number which is not happy is called sad or unhappy. More generally, a b-happy number is a natural number in a given number base b that eventually reaches 1 when iterated over the perfect digital invariant function for p = 2. The origin of happy numbers is not clear. Happy numbers were brought to the attention of Reg Allenby (a British author and senior lecturer in pure mathematics at Leeds University) by his daughter, who had learned of them at school. However, they "may have originated in Russia" . Happy numbers and perfect digital invaria ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
103 (other) , chemical element with atomic number 103
{{Numberdis ...
103 may refer to: *103 (number), the number *AD 103, a year in the 2nd century AD * 103 BC, a year in the 2nd century BC *103 (Tyne Electrical Engineers) Field Squadron, a territorial regiment * 103 (Newcastle) Field Squadron, Royal Engineers * 103 (Lancashire Artillery Volunteers) Regiment Royal Artillery *103 series Japanese rolling stock *103, a development name for the Tupolev Tu-2 See also * 10/3 (other) *Lawrencium Lawrencium is a synthetic chemical element with the symbol Lr (formerly Lw) and atomic number 103. It is named in honor of Ernest Lawrence, inventor of the cyclotron, a device that was used to discover many artificial radioactive elements. A radi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
