Deputy prime minister

A deputy prime minister or vice prime minister is, in some countries, a government minister who can take the position of acting prime minister when the prime minister is temporarily absent. The position is often likened to that of a vice president, but is significantly different, though both positions are "number two" offices. The position of deputy prime minister should not be confused with the Canadian Deputy Minister of the Prime Minister of Canada, which is a non-political civil servant position (Nor does the Deputy Prime Minister of Canada act as a "number two"). The states of Australia and provinces of Canada each have the analogous office of deputy premier. In the devolved administrations of the United Kingdom, an analogous position is that of the deputy first minister although this position in Northern Ireland has the same powers as the First Minister..

A deputy prime minister traditionally serves as acting prime minister when the real prime minister is temporarily absent or incapable of exercising his/her power. For this reason the deputy prime minister is often asked to succeed to the prime minister's office following the prime minister's sudden death or unexpected resignation, although this is not necessarily constitutionally mandated.

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.

Minister

Minister may refer to:

See also

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.

Deputy

Deputy may refer to: