Prime Minister of Israel

The Prime Minister of Israel (Hebrew: רֹאשׁ הַמֶּמְשָׁלָה, Rosh HaMemshala, lit. Head of the Government, Hebrew acronym: רה״מ) is the head of the Israeli government and the most powerful figure in Israeli politics. Although the President of Israel is the country's head of state, his powers are largely ceremonial; the Prime Minister holds most of the real power. The official residence of the prime minister, Beit Rosh Hamemshala is in Jerusalem. The current prime minister is Benjamin Netanyahu of Likud, the ninth person to hold the position (excluding caretakers).

Following an election, the President nominates a member of the Knesset to become prime minister after asking party leaders whom they support for the position. The nominee then presents a government platform and must receive a vote of confidence in order to become prime minister. In practice, the prime minister is usually the leader of the largest party in the governing coalition.

Between 1996 and 2001, the Prime Minister was directly elected, separately from the Knesset.

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.

Benjamin Netanyahu

Benjamin "Bibi" Netanyahu (Hebrew:  בִּנְיָמִין "בִּיבִּי" נְתָנְיָהוּ , Arabic: بنيامين نتانياهو‎; born 21 October 1949) is the current Prime Minister of Israel. He also currently serves as a member of the Knesset and Chairman of the Likud party.

Born in Tel Aviv to secular Jewish parents, Netanyahu is the first Israeli prime minister born in Israel after the establishment of the state. Netanyahu joined the Israel Defense Forces shortly after the Six-Day War in 1967 and became a team leader in the Sayeret Matkal special forces unit. He took part in many missions, including Operation Inferno (1968), Operation Gift (1968) and Operation Isotope (1972), during which he was shot in the shoulder. He fought on the front lines in the War of Attrition and the Yom Kippur War in 1973, taking part in special forces raids along the Suez Canal, and then leading a commando assault deep into Syrian territory. He achieved the rank of captain before being discharged. After graduating from MIT with SB and SM degrees, he was recruited as an economic consultant for the Boston Consulting Group. He returned to Israel in 1978 to found the Yonatan Netanyahu Anti-Terror Institute, named after his brother Yonatan Netanyahu, who died leading Operation Entebbe. Netanyahu served as the Israeli ambassador to the United Nations from 1984 to 1988.

Narendra Modi

Narendra Damodardas Modi (Gujarati: [nəreːnd̪rə d̪ɑːmoːd̪ərəd̪ɑːs moːd̪iː], born 17 September 1950) is the 15th and current Prime Minister of India, in office since 26 May 2014. Modi, a leader of the Bharatiya Janata Party (BJP), was the Chief Minister of Gujarat from 2001 to 2014 and is the Member of Parliament (MP) from Varanasi. He led the BJP in the 2014 general election, which gave the party a majority in the Lok Sabha (the lower house of the Indian parliament) – a first for any party since 1984 – and was credited for 2014 BJP electoral victories in the states of Haryana, Maharashtra, Jharkhand and Jammu and Kashmir.

Since taking office as Prime Minister, Modi's administration has focused on reforming and modernising India's infrastructure and government, reducing bureaucracy, encouraging increased foreign direct investment, improving national standards of health and sanitation and improving foreign relations. Modi has been appreciated for starting initiatives like Swachh Bharat Mission, Make in India and Digital India. Earlier, as Chief Minister of Gujarat, Modi's economic policies (credited with encouraging economic growth in Gujarat) have been praised, although his administration has also been criticised for failing to significantly improve the human development in the state and failing to prevent the 2002 Gujarat riots. A Hindu nationalist and a former member of the Rashtriya Swayamsevak Sangh (RSS), Modi remains a controversial figure domestically and internationally, despite his progressivism. Known for his tech savvy image, he is the second most followed politician on social media after U.S. President Barack Obama.

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.