305 (number)
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305 (number)
305 is the natural number following 304 and preceding 306. In mathematics *305 is an odd composite number with two prime factors. *305 is the convolution of the first 7 primes with themselves. *305 is the fifth hexagonal prism number which is defined by (n+1)(3n2+3n+1). *305 is the hypotenuse of two Pythagorean triples. 3052=2072+2242=1362+2732. Other fields *The calendar years 305 AD and 305 BC. *305 is the number for several highways across the countries of Canada, China, India, Japan, the Philippines, and the United States The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America. It consists of 50 states, a federal district, five major unincorporated territori .... References {{Integers, 3 Integers ...
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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 ...
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305 BC
__NOTOC__ Year 305 BC was a year of the pre-Julian Roman calendar. At the time, it was known as the Year of the Consulship of Megellus and Augurinus (or, less frequently, year 449 ''Ab urbe condita''). The denomination 305 BC for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Seleucid Empire * Seleucus, former officer of Alexander the Great, considers himself emperor of Persia. He attempts to recover lands taken by Chandragupta that had been a part of Alexander's Empire. Seleucus establishes Seleucia on the Tigris River as his capital. Syria * Antigonus I Monophthalmus sends his son Demetrius to initiate the Siege of Rhodes, as the city has refused him armed support against Ptolemy. Roman Republic * The Roman consuls, Marcus Fulvius Curvus Paetinus and Lucius Postumius Megellus, decisively defeat the Samnites in the Battle of Bovianum to end the ...
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Philippines
The Philippines (; fil, Pilipinas, links=no), officially the Republic of the Philippines ( fil, Republika ng Pilipinas, links=no), * bik, Republika kan Filipinas * ceb, Republika sa Pilipinas * cbk, República de Filipinas * hil, Republika sang Filipinas * ibg, Republika nat Filipinas * ilo, Republika ti Filipinas * ivv, Republika nu Filipinas * pam, Republika ning Filipinas * krj, Republika kang Pilipinas * mdh, Republika nu Pilipinas * mrw, Republika a Pilipinas * pag, Republika na Filipinas * xsb, Republika nin Pilipinas * sgd, Republika nan Pilipinas * tgl, Republika ng Pilipinas * tsg, Republika sin Pilipinas * war, Republika han Pilipinas * yka, Republika si Pilipinas In the recognized optional languages of the Philippines: * es, República de las Filipinas * ar, جمهورية الفلبين, Jumhūriyyat al-Filibbīn is an archipelagic country in Southeast Asia. It is situated in the western Pacific Ocean and consists of around 7,641 islands t ...
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Japan
Japan ( ja, 日本, or , and formally , ''Nihonkoku'') is an island country in East Asia. It is situated in the northwest Pacific Ocean, and is bordered on the west by the Sea of Japan, while extending from the Sea of Okhotsk in the north toward the East China Sea, Philippine Sea, and Taiwan in the south. Japan is a part of the Ring of Fire, and spans Japanese archipelago, an archipelago of List of islands of Japan, 6852 islands covering ; the five main islands are Hokkaido, Honshu (the "mainland"), Shikoku, Kyushu, and Okinawa Island, Okinawa. Tokyo is the Capital of Japan, nation's capital and largest city, followed by Yokohama, Osaka, Nagoya, Sapporo, Fukuoka, Kobe, and Kyoto. Japan is the List of countries and dependencies by population, eleventh most populous country in the world, as well as one of the List of countries and dependencies by population density, most densely populated and Urbanization by country, urbanized. About three-fourths of Geography of Japan, the c ...
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India
India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast, it shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the north; and Bangladesh and Myanmar to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives; its Andaman and Nicobar Islands share a maritime border with Thailand, Myanmar, and Indonesia. Modern humans arrived on the Indian subcontinent from Africa no later than 55,000 years ago., "Y-Chromosome and Mt-DNA data support the colonization of South Asia by modern humans originating in Africa. ... Coalescence dates for most non-European populations average to between 73–55 ka.", "Modern human beings—''Homo sapiens''—originated in Africa. Then, int ...
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China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and borders fourteen countries by land, the most of any country in the world, tied with Russia. Covering an area of approximately , it is the world's third largest country by total land area. The country consists of 22 provinces, five autonomous regions, four municipalities, and two Special Administrative Regions (Hong Kong and Macau). The national capital is Beijing, and the most populous city and financial center is Shanghai. Modern Chinese trace their origins to a cradle of civilization in the fertile basin of the Yellow River in the North China Plain. The semi-legendary Xia dynasty in the 21st century BCE and the well-attested Shang and Zhou dynasties developed a bureaucratic political system to serve hereditary monarchies, or dyna ...
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Canada
Canada is a country in North America. Its ten provinces and three territories extend from the Atlantic Ocean to the Pacific Ocean and northward into the Arctic Ocean, covering over , making it the world's second-largest country by total area. Its southern and western border with the United States, stretching , is the world's longest binational land border. Canada's capital is Ottawa, and its three largest metropolitan areas are Toronto, Montreal, and Vancouver. Indigenous peoples have continuously inhabited what is now Canada for thousands of years. Beginning in the 16th century, British and French expeditions explored and later settled along the Atlantic coast. As a consequence of various armed conflicts, France ceded nearly all of its colonies in North America in 1763. In 1867, with the union of three British North American colonies through Confederation, Canada was formed as a federal dominion of four provinces. This began an accretion of provinces an ...
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List Of Highways Numbered 305
The following highways are numbered 305: Canada *Manitoba Provincial Road 305 * New Brunswick Route 305 * Nova Scotia Route 305 *Prince Edward Island Route 305 *Saskatchewan Highway 305 China * China National Highway 305 India National Highway 305 (India), National Highway 305 Japan * Japan National Route 305 Philippines * N305 highway (Philippines) United States * Interstates ** Interstate 305 (California), Interstate 305 (multiple Unsigned highway, unsigned routes) ** Interstate 305 (Oregon), Interstate 305 (cancelled proposal) * Arkansas Highway 305 * Connecticut Route 305 * Florida State Road 305 (former) * Georgia State Route 305 * Hawaii Route 305 * Iowa Highway 305 (former) * Kentucky Route 305 * Maryland Route 305 * Mississippi Highway 305 * Montana Secondary Highway 305 * Nevada State Route 305 * New Mexico State Road 305 * New York State Route 305 ** New York State Route& ...
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Pythagorean Triple
A Pythagorean triple consists of three positive integers , , and , such that . Such a triple is commonly written , and a well-known example is . If is a Pythagorean triple, then so is for any positive integer . A primitive Pythagorean triple is one in which , and are coprime (that is, they have no common divisor larger than 1). For example, is a primitive Pythagorean triple whereas is not. A triangle whose sides form a Pythagorean triple is called a Pythagorean triangle, and is necessarily a right triangle. The name is derived from the Pythagorean theorem, stating that every right triangle has side lengths satisfying the formula a^2+b^2=c^2; thus, Pythagorean triples describe the three integer side lengths of a right triangle. However, right triangles with non-integer sides do not form Pythagorean triples. For instance, the triangle with sides a=b=1 and c=\sqrt2 is a right triangle, but (1,1,\sqrt2) is not a Pythagorean triple because \sqrt2 is not an integer. Moreover, 1 and ...
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304 (number)
304 is the natural number following 303 and preceding 305. In mathematics *304 is an even composite number with two prime factor. *304 is the sum of consecutive primes in two different ways. It is the sum of 41+43+47+53+59+61 and of 23+29+31+37+41+43+47+53. *304 is a primitive semiperfect number meaning that it is a semiperfect number that is not divisible by any other semiperfect number. *304 is an untouchable number meaning that it is not equal to the sum of any number’s proper divisors. *304 is a nontotient In number theory, a nontotient is a positive integer ''n'' which is not a totient number: it is not in the range of Euler's totient function φ, that is, the equation φ(''x'') = ''n'' has no solution ''x''. In other words, ''n'' is a nontotien ... number meaning that it is an even number where phi(x) cannot result in that number. References {{Improve categories, date=October 2023 Integers ...
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Hypotenuse
In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides. For example, if one of the other sides has a length of 3 (when squared, 9) and the other has a length of 4 (when squared, 16), then their squares add up to 25. The length of the hypotenuse is the square root of 25, that is, 5. Etymology The word ''hypotenuse'' is derived from Greek (sc. or ), meaning " idesubtending the right angle" (Apollodorus), ''hupoteinousa'' being the feminine present active participle of the verb ''hupo-teinō'' "to stretch below, to subtend", from ''teinō'' "to stretch, extend". The nominalised participle, , was used for the hypotenuse of a triangle in the 4th century BCE (attested in Plato, ''Timaeus'' 54d). The Greek term was loaned into La ...
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Hexagonal Prism
In geometry, the hexagonal prism is a prism with hexagonal base. Prisms are polyhedrons; this polyhedron has 8 faces, 18 edges, and 12 vertices.. Since it has 8 faces, it is an octahedron. However, the term ''octahedron'' is primarily used to refer to the ''regular octahedron'', which has eight triangular faces. Because of the ambiguity of the term ''octahedron'' and tilarity of the various eight-sided figures, the term is rarely used without clarification. Before sharpening, many pencils take the shape of a long hexagonal prism. As a semiregular (or uniform) polyhedron If faces are all regular, the hexagonal prism is a semiregular polyhedron, more generally, a uniform polyhedron, and the fourth in an infinite set of prisms formed by square sides and two regular polygon caps. It can be seen as a truncated hexagonal hosohedron, represented by Schläfli symbol t. Alternately it can be seen as the Cartesian product of a regular hexagon and a line segment, and represented by ...
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