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All prime numbers from 31 to 6,469,693,189 for free download. Lists of Primes at the Prime Pages. The Nth Prime Page Nth prime through n=10^12, pi(x) through x=3*10^13, Random primes in same range. Interface to a list of the first 98 million primes (primes less than 2,000,000,000) Weisstein, Eric W. "Prime Number Sequences". MathWorld.
The table below lists the largest currently known prime numbers and probable primes ... Rank [1] [2] Number Discovery date Decimal digits 1 2 136279841 – 1 [3]
The following is a list of all currently known Mersenne primes and perfect numbers, along with their corresponding exponents p. As of 2024, there are 52 known Mersenne primes (and therefore perfect numbers), the largest 18 of which have been discovered by the distributed computing project Great Internet Mersenne Prime Search, or GIMPS. [2]
The BBC television programme The Daily Politics asked viewers in 2007 to select their favourite prime minister out of a list of ten who served between 1945 and 2007 (excluding Churchill). [11] In 2008, BBC Newsnight held a poll of 27,000 people, to decide the UK's greatest and worst post-war prime minister.
The following articles describe various historical rankings of heads of government for different countries. Historical rankings of presidents of the United States Historical rankings of prime ministers of Australia
The following is a list of prime ministers of Canada by their highest and lowest approval rating during their term. The approval rating system came into effect when John Diefenbaker was prime minister (1957–1963).
Lord Hennessy of Nympsfield wrote about the ministerial ranking, in his 2000 book The Prime Minister: The Office And Its Holders Since 1945.. The ministerial ranking is said by Peter Hennessy to be decided by the Prime Minister alone [1] and reportedly by the Cabinet Office Precedent Book as being wholly decided by the Prime Minister, "guided partly by tradition and partly by political and ...
The multiplicity of a prime factor p of n is the largest exponent m for which p m divides n. The tables show the multiplicity for each prime factor. If no exponent is written then the multiplicity is 1 (since p = p 1). The multiplicity of a prime which does not divide n may be called 0 or may be considered undefined.