Prime Minister of Australia

The Prime Minister of the Commonwealth of Australia is the head of government in Australia. The individual who holds the office is the most senior Minister of the Crown, the leader of the Cabinet and the chairperson of the National Security Committee. The office is not mentioned in the Constitution of Australia and exists only through an unwritten political convention and tradition. Despite this, in practice it is the most powerful political position in Australia. The individual who holds the office is commissioned by the Governor-General of Australia.

Almost always and according to convention, the Prime Minister is the leader of the majority party or largest party in a coalition of parties in the House of Representatives. However, there is no constitutional requirement that the prime minister sit in the House of Representatives, or even be a member of parliament, though by convention this is always the case. The only case where a member of the Senate was appointed prime minister was John Gorton, who subsequently resigned his Senate position and was elected as a member of the House of Representatives (Senator George Pearce was acting prime minister for seven months in 1916 while Billy Hughes was overseas).

Prime minister

A prime minister is the most senior minister of cabinet in the executive branch of government, often in a parliamentary or semi-presidential system. In many systems, the prime minister selects and may dismiss other members of the cabinet, and allocates posts to members within the government. In most systems, the prime minister is the presiding member and chairman of the cabinet. In a minority of systems, notably in semi-presidential systems of government, a prime minister is the official who is appointed to manage the civil service and execute the directives of the head of state.

In parliamentary systems fashioned after the Westminster system, the prime minister is the presiding and actual head of government and head of the executive branch. In such systems, the head of state or the head of state's official representative (i.e. the monarch, president, or governor-general) usually holds a largely ceremonial position, although often with reserve powers.

The prime minister is often, but not always, a member of parliament and is expected with other ministers to ensure the passage of bills through the legislature. In some monarchies the monarch may also exercise executive powers (known as the royal prerogative) that are constitutionally vested in the crown and may be exercised without the approval of parliament.

Malcolm Turnbull

Malcolm Bligh Turnbull (born 24 October 1954) is the 29th and current Prime Minister of Australia. He became prime minister and Leader of the Liberal Party in 2015 and has been the member of parliament for Wentworth since 2004.

Turnbull attended Sydney Grammar School before going to the University of Sydney, where he received a Bachelor of Arts and a Bachelor of Laws. He then attended Brasenose College, Oxford, as a Rhodes Scholar, where he attained a Bachelor of Civil Law. Before entering politics, Turnbull worked as a journalist, lawyer, investment banker and venture capitalist. In 1993, he became the chairman of the Australian Republican Movement, serving in the position until 2000.

Briefly Minister for the Environment and Water in the Howard Government in 2007, Turnbull was elected Leader of the Liberal Party in September 2008, becoming Leader of the Opposition. In November 2009, his support for the Carbon Pollution Reduction Scheme proposed by the Rudd Government split the Liberal Party, and in a ballot the following month Turnbull lost the leadership to Tony Abbott by one vote. Initially intending to leave politics, Turnbull remained in parliament and eventually became Minister for Communications in the Abbott Government in September 2013.

Prime number

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3.

The property of being prime (or not) is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and . Algorithms much more efficient than trial division have been devised to test the primality of large numbers. These include the Miller–Rabin primality test, which is fast but has a small probability of error, and the AKS primality test, which always produces the correct answer in polynomial time but is too slow to be practical. Particularly fast methods are available for numbers of special forms, such as Mersenne numbers. As of January 2016, the largest known prime number has 22,338,618 decimal digits.

Donald Trump

Donald John Trump, Sr. (born June 14, 1946) is an American businessperson and media personality. He is the chairman and president of The Trump Organization and the founder of Trump Entertainment Resorts. Trump's career, branding efforts, personal life, wealth, and outspoken manner have made him famous throughout the country. Since 2015, he is also a candidate for the Republican nomination for President of the United States in the 2016 election.

Trump is a native of New York City and a son of Fred Trump, who inspired him to enter real estate development. After two years at Fordham University and while studying at Wharton School of the University of Pennsylvania, Trump worked for his father's firm, Elizabeth Trump & Son. Upon graduating in 1968 he joined the company, and in 1971 was given control, renaming the company "The Trump Organization". Since then he has built hotels, golf courses, and other properties, many of which bear his name. He is a major figure in the American business scene and has received prominent media exposure. The NBC reality show The Apprentice bolstered his fame, and his three marriages were extensively reported in tabloids.