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.

Charles Michel

Charles Michel (French: [ʃaʁl mi.ʃɛl]; born 21 December 1975) is the current Prime Minister of Belgium. He is the son of Louis Michel, also a prominent politician. Charles Michel was the leader of the francophone liberal party Mouvement Réformateur (MR) since February 2011 until becoming Prime Minister. Michel is the youngest Belgian Prime Minister since 1845.

Early career

Michel started his political career aged 16 when he joined the Young Liberals of Jodoigne (Jeunes Réformateurs Libéraux de Jodoigne); his father Louis Michel was mayor of Jodoigne since 1983. In 1994, at the age of 18, Charles Michel was elected provincial councillor in Walloon Brabant.

He graduated in law at the Université Libre de Bruxelles and the University of Amsterdam in 1998, after which he became lawyer at the Brussels Bar.

Having studied in Amsterdam, he is fluent in Dutch in addition to his native French.

Political career

Michel has been elected to the federal Chamber of Representatives since 1999, representing Walloon Brabant, a stronghold of the liberal MR.

Prime Minister of Belgium

The Prime Minister of Belgium (Dutch: Eerste minister van België; French: Premier ministre de la Belgique; German: Premierminister von Belgien) or Premier of Belgium is the head of the federal government in the Kingdom of Belgium.

Although Leaders of Government (French: Chefs de Cabinet) had been appointed since the independence of the country, until 1918 the King often presided over the Council of Ministers, so the modern era of the "Premiership" started after World War I with Léon Delacroix. The political importance of the King of the Belgians has decreased over time, whereas the position of Prime Minister has gradually become more important.

History

Since the independence of Belgium in 1830, governments have been designated with the name of the minister who formed the government as formateur, but that position did not have a specific status. Originally, from 1831 the King of the Belgians presided over the Council of Ministers, but when he was absent, the presidency was taken by the chef de cabinet (Head of Cabinet), usually the oldest or most influential minister. This position gradually became more prominent, and the minister with this title then soon acquired the competency to present the King with the proposed allocation of the various ministerial departments among the ministers.

Nigel Farage

Nigel Paul Farage (/ˈfærɑːʒ/; born 3 April 1964) is a British politician and former commodity broker. He is the leader of the UK Independence Party (UKIP), having held the position since November 2010, and previously from September 2006 to November 2009. Since 1999 he has been a Member of the European Parliament for South East England. He co-chairs the Europe of Freedom and Direct Democracy (formerly "Europe of Freedom and Democracy") group. He has been noted for his sometimes controversial speeches in the European Parliament and has strongly criticised the euro.

Farage was a founding member of UKIP, having left the Conservative Party in 1992 after the signing of the Maastricht Treaty. After unsuccessfully campaigning in European and Westminster parliamentary elections for UKIP since 1994, he was elected MEP for South East England in the 1999 European Parliament Election. He was subsequently re-elected in 2004, 2009 and, most recently, at the 2014 European Parliament Election.

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.