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- Mersenne_prime abstract "In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number that can be written in the form Mn = 2n − 1 for some integer n. They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. The first four Mersenne primes (sequence A000668 in OEIS) are 3, 7, 31, and 127.If n is a composite number then so is 2n − 1. The definition is therefore unchanged when written Mp = 2p − 1 where p is assumed prime.More generally, numbers of the form Mn = 2n − 1 without the primality requirement are called Mersenne numbers. Mersenne numbers are sometimes defined to have the additional requirement that n be prime, equivalently that they be pernicious Mersenne numbers, namely those pernicious numbers whose binary representation contains no zeros. The smallest composite pernicious Mersenne number is 211 − 1 = 2047 = 23 × 89.As of September 2015, 48 Mersenne primes are known. The largest known prime number 257,885,161 − 1 is a Mersenne prime.Since 1997, all newly found Mersenne primes have been discovered by the “Great Internet Mersenne Prime Search” (GIMPS), a distributed computing project on the Internet.".
- Mersenne_prime wikiPageExternalLink pmain814.
- Mersenne_prime wikiPageExternalLink mersenne-47.
- Mersenne_prime wikiPageExternalLink Main_Page.
- Mersenne_prime wikiPageExternalLink a250197_1.txt.
- Mersenne_prime wikiPageExternalLink 2305843009213693951.html.
- Mersenne_prime wikiPageExternalLink page.php?id=4.
- Mersenne_prime wikiPageExternalLink Mersenne8x3qy.pdf.
- Mersenne_prime wikiPageExternalLink report_milestones.
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- Mersenne_prime wikiPageExternalLink main.htm.
- Mersenne_prime wikiPageExternalLink 2+.txt.
- Mersenne_prime wikiPageExternalLink 2-.txt.
- Mersenne_prime wikiPageExternalLink main.htm.
- Mersenne_prime wikiPageExternalLink jansen.ps.
- Mersenne_prime wikiPageExternalLink www.mersenne.org.
- Mersenne_prime wikiPageExternalLink report_factors.
- Mersenne_prime wikiPageExternalLink text.
- Mersenne_prime wikiPageExternalLink biblio.htm.
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- Mersenne_prime wikiPageExternalLink factoredM.txt.
- Mersenne_prime wikiPageID "18908".
- Mersenne_prime wikiPageLength "102272".
- Mersenne_prime wikiPageOutDegree "214".
- Mersenne_prime wikiPageRevisionID "708073650".
- Mersenne_prime wikiPageWikiLink 127_(number).
- Mersenne_prime wikiPageWikiLink 127_Johanna.
- Mersenne_prime wikiPageWikiLink 131071_(number).
- Mersenne_prime wikiPageWikiLink 2147483647_(number).
- Mersenne_prime wikiPageWikiLink 31_(number).
- Mersenne_prime wikiPageWikiLink 31_Euphrosyne.
- Mersenne_prime wikiPageWikiLink 3_(number).
- Mersenne_prime wikiPageWikiLink 3_Juno.
- Mersenne_prime wikiPageWikiLink 524287_(number).
- Mersenne_prime wikiPageWikiLink 7_(number).
- Mersenne_prime wikiPageWikiLink 7_Iris.
- Mersenne_prime wikiPageWikiLink Absolute_value.
- Mersenne_prime wikiPageWikiLink Alan_Turing.
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- Mersenne_prime wikiPageWikiLink Asymptotic_analysis.
- Mersenne_prime wikiPageWikiLink Athlon.
- Mersenne_prime wikiPageWikiLink Aurifeuillean_factorization.
- Mersenne_prime wikiPageWikiLink BESK.
- Mersenne_prime wikiPageWikiLink Base_(exponentiation).
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- Mersenne_prime wikiPageWikiLink CDC_Cyber.
- Mersenne_prime wikiPageWikiLink Category:Articles_containing_proofs.
- Mersenne_prime wikiPageWikiLink Category:Classes_of_prime_numbers.
- Mersenne_prime wikiPageWikiLink Category:Integer_sequences.
- Mersenne_prime wikiPageWikiLink Category:Unsolved_problems_in_mathematics.
- Mersenne_prime wikiPageWikiLink Coefficient.
- Mersenne_prime wikiPageWikiLink Complex_number.
- Mersenne_prime wikiPageWikiLink Composite_number.
- Mersenne_prime wikiPageWikiLink Congruence_relation.
- Mersenne_prime wikiPageWikiLink Coprime_integers.
- Mersenne_prime wikiPageWikiLink Cray-1.
- Mersenne_prime wikiPageWikiLink Cray-2.
- Mersenne_prime wikiPageWikiLink Cray_C90.
- Mersenne_prime wikiPageWikiLink Cray_T90.
- Mersenne_prime wikiPageWikiLink Cray_X-MP.
- Mersenne_prime wikiPageWikiLink Cullen_number.
- Mersenne_prime wikiPageWikiLink Cult_following.
- Mersenne_prime wikiPageWikiLink Curtis_Cooper_(mathematician).
- Mersenne_prime wikiPageWikiLink Cyclotomic_polynomial.
- Mersenne_prime wikiPageWikiLink David_Slowinski.
- Mersenne_prime wikiPageWikiLink Dell_Dimension.
- Mersenne_prime wikiPageWikiLink Dell_OptiPlex.
- Mersenne_prime wikiPageWikiLink Derrick_Henry_Lehmer.
- Mersenne_prime wikiPageWikiLink Distributed_computing.
- Mersenne_prime wikiPageWikiLink Donald_B._Gillies.
- Mersenne_prime wikiPageWikiLink Double_Mersenne_number.
- Mersenne_prime wikiPageWikiLink E_(mathematical_constant).
- Mersenne_prime wikiPageWikiLink Eisenstein_integer.
- Mersenne_prime wikiPageWikiLink Electronic_Frontier_Foundation.
- Mersenne_prime wikiPageWikiLink Erdős–Borwein_constant.
- Mersenne_prime wikiPageWikiLink Euclid.
- Mersenne_prime wikiPageWikiLink Euclids_theorem.
- Mersenne_prime wikiPageWikiLink Euclid–Euler_theorem.
- Mersenne_prime wikiPageWikiLink Euler–Mascheroni_constant.
- Mersenne_prime wikiPageWikiLink Fermat_number.
- Mersenne_prime wikiPageWikiLink Fermat_primality_test.
- Mersenne_prime wikiPageWikiLink Fermats_little_theorem.
- Mersenne_prime wikiPageWikiLink Floor_and_ceiling_functions.
- Mersenne_prime wikiPageWikiLink Fourth_power.
- Mersenne_prime wikiPageWikiLink France.
- Mersenne_prime wikiPageWikiLink Frank_Nelson_Cole.
- Mersenne_prime wikiPageWikiLink Gaussian_integer.
- Mersenne_prime wikiPageWikiLink Gigantic_prime.
- Mersenne_prime wikiPageWikiLink Gillies_conjecture.
- Mersenne_prime wikiPageWikiLink Great_Internet_Mersenne_Prime_Search.
- Mersenne_prime wikiPageWikiLink Greek_mathematics.
- Mersenne_prime wikiPageWikiLink Hans_Riesel.
- Mersenne_prime wikiPageWikiLink Harry_L._Nelson.
- Mersenne_prime wikiPageWikiLink Harwell,_Oxfordshire.
- Mersenne_prime wikiPageWikiLink Hexagonal_number.
- Mersenne_prime wikiPageWikiLink IBM_7090.
- Mersenne_prime wikiPageWikiLink IBM_Aptiva.
- Mersenne_prime wikiPageWikiLink 360.
- Mersenne_prime wikiPageWikiLink ILLIAC_II.