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All Mersenne primes are of the form M p = 2 p − 1, where p is a prime number itself. The smallest Mersenne prime in this table is 2 1398269 − 1. The first column is the rank of the Mersenne prime in the (ordered) sequence of all Mersenne primes; [33] GIMPS has found all known Mersenne primes beginning with the 35th. #
A prime sieve works by creating a list of all integers up to a desired limit and progressively removing composite numbers (which it directly generates) until only primes are left. This is the most efficient way to obtain a large range of primes; however, to find individual primes, direct primality tests are more efficient [citation needed].
Nautilus is a British ten-part television adventure drama created by James Dormer. [2] It is a reimagining of Jules Verne's 1870 novel Twenty Thousand Leagues Under the Seas, presenting an origin story for Captain Nemo, an Indian prince-turned-crusading scientist.
The multiples of a given prime are generated as a sequence of numbers starting from that prime, with constant difference between them that is equal to that prime. [1] This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime. [ 2 ]
Nautilus is described by Verne as "a masterpiece containing masterpieces". [1] It is designed and commanded by Captain Nemo.Electricity provided by sodium/mercury batteries (with the sodium provided by extraction from seawater) is the craft's primary power source for propulsion and other services.
Nautilus (from Latin nautilus 'paper nautilus', from Ancient Greek ναυτίλος nautílos 'little sailor') [3] are the ancient pelagic marine mollusc species of the cephalopod family Nautilidae. This is the sole extant family of the superfamily Nautilaceae and the suborder Nautilina .
USS Nautilus (SF-9/SS-168), a Narwhal-class submarine and one of the "V-boats", was the third ship of the United States Navy to bear the name. [ 12 ] Construction and commissioning
Argonauts surrounding the Nautilus, in Jules Verne's novel Twenty Thousand Leagues Under the Seas. Argonauts are featured in Twenty Thousand Leagues Under the Seas, noted for their ability to use their tentacles as sails, though this is a widespread myth. A female argonaut is also described in Marianne Moore's poem "The Paper Nautilus".