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Topic: Cunningham chain


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  Cunningham chain - Wikipedia, the free encyclopedia
In mathematics, a Cunningham chain is a certain sequence of prime numbers.
A Cunningham chain is called complete if it cannot be further extended, i.e., if the next term in the chain would not be a prime number anymore.
As of August 2005, the longest Cunningham chain of either kind found is of length 16.
en.wikipedia.org /wiki/Cunningham_chain   (322 words)

  
 The Prime Page's Links++: theory/special_forms/Cunningham_chains
The first, Cunningham chains of the first kind, are sequences of primes where each is twice the preceeding prime plus one (so the first prime in such a chain is a Sophie Germain prime).
Cunningham chains of the second kind are each twice the preceeding prime minus one.
Chains of length n of nearly doubled primes from Sloan's sequences - The least prime which generates a Cunningham chain (second kind) of length n.
primes.utm.edu /links/theory/special_forms/Cunningham_chains   (342 words)

  
 Jason Cunningham   (Site not responding. Last check: 2007-11-07)
Cunningham was part of a quick-reaction force sent to rescue a group of soldiers pinned down by heavy machine-gun and rocket fire on a mountain slope.
Theresa Cunningham tearfully stood before a crowd of more than 100 friends and relatives Saturday, and shared one of her most intimate personal possessions -- a goodbye letter that her Air Force husband had written to his wife in case he was killed in Afghanistan.
In March, Cunningham was among 13 troops in a 52-foot-long Chinook helicopter headed for Takurghar Mountain near the village of Marzak, in the Paktia province.
www.timjacobs.com /american_hero_cunningham_jason.htm   (7540 words)

  
 Cunningham chain - Definition up Erdmond.Com   (Site not responding. Last check: 2007-11-07)
A Cunningham chain of the first kind is a sequence of prime numbers (''p''1,...,''pn'') such that for all 1 ≤ ''i'' < ''n'', ''p'i''+1 = 2 ''pi'' + 1.
Similarly, a Cunningham chain of the second kind is a sequence of prime numbers (''p''1,...,''pn'') such that for all 1 ≤ ''i'' < ''n'', ''p'i''+1 = 2 ''pi'' - 1.
Cunningham chains are also sometimes generalized to sequences of prime numbers (''p''1,...,''pn'') such that for all 1 ≤ ''i'' < ''n'', ''p'i''+1 = ''api'' + ''b'' for fixed relatively_prime integers ''a'', ''b''; the resulting chains are called generalized Cunningham chains'''.
www.erdmond.com /Cunningham_chain.html   (192 words)

  
 Generalisation of the Cunningham Chain
A Cunningham chain of the first kind is a sequence of primes generated by the transformation p
The earliest chains of length 6 and 7 with m odd are (2025,1,3,6) and (5775,1,3,7).
The largest symmetric chains of length 4 and 5 are (36465,58,58,4), (50925,15,15,5) respectively, while the chain (51315,6,6,7) contains the largest chain of length 6 as well as that of length 7.
www.glasgowg43.freeserve.co.uk /genchain.htm   (1000 words)

  
 chain
A chain is a reliable machine component, which transmits power by means of tensile forces, and is used primarily for power transmission and conveyance systems.
A chain is a measurement of length equivalent to 22 yards (20.12 metres), which is one tenth of a furlong or one eightieth of a mile.
The distance of 22 yards is the length of the pitch (from wicket to wicket) in cricket.
www.fact-library.com /chain.html   (192 words)

  
 Cunningham chain -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-11-07)
In (A science (or group of related sciences) dealing with the logic of quantity and shape and arrangement) mathematics, a Cunningham chain is a certain sequence of (An integer that has no integral factors but itself and 1) prime numbers.
Cunningham chains are named after (A person skilled in mathematics) mathematician A. Cunningham.
(Hence each term of such a chain except the last one is a (Click link for more info and facts about Sophie Germain prime) Sophie Germain prime, and each term except the first is a (Click link for more info and facts about safe prime) safe prime).
www.absoluteastronomy.com /encyclopedia/C/Cu/Cunningham_chain.htm   (302 words)

  
 [No title]   (Site not responding. Last check: 2007-11-07)
Cunningham Chain of length 16 ----------------------------- Tony Forbes ----------- A Cunningham chain of length k is a finite set of primes {p_1, p_2,..., p_k}, where either p_{i+1} = 2*p_i + 1, i = 1, 2,..., k - 1, or p_{i+1} = 2*p_i - 1, i = 1, 2,..., k - 1.
The subject is discussed in Section A7 of Guy's book [1] in which it is reported that Gunter Loh [2] discovered two 12-chains of the first type and one 13-chain of the second type.
The Cunninghan chain is of the second type, and here it is. {3203000719597029781, 6406001439194059561, 12812002878388119121, 25624005756776238241, 51248011513552476481, 102496023027104952961, 204992046054209905921, 409984092108419811841, 819968184216839623681, 1639936368433679247361, 3279872736867358494721, 6559745473734716989441, 13119490947469433978881, 26238981894938867957761, 52477963789877735915521, 104955927579755471831041}.
www.loria.fr /~zimmerma/records/cunningham16   (256 words)

  
 Cunningham Chains
A Cunningham chain is a sequence (of length at least 2) of primes of the form p, 2p
Thus a necessary condition for chains of length at least 3 is that either k is divisible by 7 or, for chains of the first kind, k
For chains longer than 3 exponents, we are interested in the largest in terms of exponent n and lowest in terms of k.
www.glasgowg43.freeserve.co.uk /chains.htm   (2820 words)

  
 internet SCM   (Site not responding. Last check: 2007-11-07)
Supply chains contain a multitude of business activities and proccesses and are very complex activities to coordinate and gain goal congruence with inside the organization.
A supply chain would best be described as a set of suppliers, manufacturers, wholesalers, distributors, and stores that enable a product or service to be made, sold, and delivered to the consumer and end user.(Hadley 2004) The main role of the supply chain is to carry out the goals and objectives of the company.
Since most constituents in a company’s supply chain are global and operating their businesses on disparate systems, web technology is a critical tool.” (McCausland 2004) According to Margaret L Williams the ideal company makes no product it has not already sold, and buys nothing it does not need right away.
www.umsl.edu /~smlkv9/SCM.htm   (1843 words)

  
 Cunningham chain - Encyclopedia.WorldSearch   (Site not responding. Last check: 2007-11-07)
Sequence A005602 in OEIS: the first term of the lowest complete Cunnigham Chains of the first kind of length n, for 1
Sequence A005603 in OEIS: the first term of the lowest complete Cunnigham Chains of the second kind with length n, for 1
Reliability analysis of the major power chain of an HTGR (Massachusetts Institute of Technology.
encyclopedia.worldsearch.com /cunningham_chain.htm   (288 words)

  
 Chaîne de Cunningham - Wikipédia
En mathématiques, une chaîne de Cunningham est une certaine suite de nombres premiers.
Les chaînes de Cunningham furent nommées en l'honneur du mathématicien A.
Une chaîne de Cunningham est appelée complète si elle ne peut pas être étendue davantage, c'est-à-dire si le terme suivant dans la chaîne n'est plus un nombre premier.
fr.wikipedia.org /wiki/Cha%C3%AEne_de_Cunningham   (250 words)

  
 Amazon.com: Books: The Hours : A Novel   (Site not responding. Last check: 2007-11-07)
But as soon as one dips into Cunningham's prologue, in which Woolf's suicide is rendered with a precise yet harrowing matter-of-factness ("She hurries from the house, wearing a coat too heavy for the weather.
Cunningham's insightful use of the historical record concerning Woolf in her household outside London in the 1920s is matched by his audacious imagining of her inner lifeand his equally impressive plunges into the lives of Laura and Clarissa.
To give an idea of the kind of subtlety Cunningham displays, let me give one example: Lara Brown, the housewife, feels unconnected to her husband and 3 year old child and all she wants to do is finish reading Mrs.
www.amazon.com /exec/obidos/tg/detail/-/0312243022?v=glance   (2145 words)

  
 Cunningham chain   (Site not responding. Last check: 2007-11-07)
(Hence each term of a chain except the last one is Sophie Germain prime).
Cunningham chains are also sometimes generalized to of prime numbers (p
A Cunningham chain is called complete if it cannot be further extended if the next term in the chain not be a prime number anymore.
www.freeglossary.com /Cunningham_chain_of_the_second_kind   (338 words)

  
 Supply Chain Management: Past and Future
Supply chain management was born when managers and business practitioners sought ways to improve the effectiveness of communication and coordination between functional areas within companies.
Supply chain management's next logical progression is referred to as "Super Supply Chain Management." In this phase all functional areas within companies become part of a larger chain working with all functional areas of all companies involved in bringing products and services to market from seed to table.
Cunningham believes it is very difficult for most small commodity groups to be the key player in a produce supply chain.
edis.ifas.ufl.edu /BODY_RM005   (2310 words)

  
 Chain of Responsibility   (Site not responding. Last check: 2007-11-07)
The controller would make the chain while the default handler method would call the controller which would be the object that knows who's next in the chain.
If the counter is greater than the length of the chain, the request has probably been passed back to the first handler again, and since the request was not handled the first time, it seems doubtful that it will ever be handled (unless the handlers are being modified dynamically).
In case the chain length is unknown, you can use a method which implements a timestamp.
homepages.ucalgary.ca /~sjthirsk/7.html   (420 words)

  
 Cunningham, Andrew Browne - Hutchinson encyclopedia article about Cunningham, Andrew Browne   (Site not responding. Last check: 2007-11-07)
British admiral in World War II, commander-in-chief in the Mediterranean 1939–42, maintaining British control; as commander-in-chief of the Allied Naval Forces in the Mediterranean Feb–Oct 1943 he received the surrender of the Italian fleet.
Cunningham, Kate Richards O' Hare (born Kathleen Richards)
This information should not be considered complete, up to date, and is not intended to be used in place of a visit, consultation, or advice of a legal, medical, or any other professional.
encyclopedia.farlex.com /Cunningham,%20Andrew%20Browne   (126 words)

  
 Serebella Contents Complete Cunningham chain---Complete list of encyclopedia topics/X   (Site not responding. Last check: 2007-11-07)
It uses material from the Wiktionary page "Chain".
A chain used to anchor a pocket watch or other fob to a waistcoat.
With the passing of their use as a functional item, Albert Chains are still used as jewlery, worn in any number of manners.
www.serebella.com /encyclopedia/contains-99400-99447-Complete_Cunningham_chain-Complete_list_of_encyclopedia_topics/X.html   (554 words)

  
 Columbus AlivewireD - Feature   (Site not responding. Last check: 2007-11-07)
From an early age, the pups are trained for a life of fighting, tied up with heavy chains to begin the obsessive development of their muscles.
Cunningham scoffs at arguments like these as nothing more than a way to justify the unjustifiable.
In central Ohio, Cunningham and Manion see the problem of dogfighting as one that is again on the rise.
www.columbusalive.com /1998/19980528/feature1.html   (5135 words)

  
 BBC - Somerset - Sport - Premier League: Somerset 42-52 Reading
Chain problems for Glenn Cunningham proved costly as Somerset suffered their second home defeat of the season in the Premier League against an in-form Reading side.
Cunningham crashed to the ground while Holloway, replacing the injured Chris Mills, joined Zagar in a 5-1 for the Euphony Racers.
Cunningham had another chain problem in heat seven when he was leading Morris and Chris Schramm at the end of the third lap.
www.bbc.co.uk /somerset/content/articles/2004/08/23/somerset_v_reading_result.shtml   (684 words)

  
 Glenn Cunningham
Mayor Glenn CunninghamGlenn Cunningham (September 16, 1943 - May 25, 2004) was the first African-American mayor of Jersey City, New Jersey, the state's second-largest city.
After Cunningham died, Jerramiah Healy became the mayor of Jersey City.
Before his election as mayor, Cunningham, a former Marine and member of the Jersey City Police Department for 25 years, had been tapped by President Bill Clinton to serve as head of New Jersey's United States Marshals Office.
www.kiwipedia.com /en/glenn-cunningham.html   (87 words)

  
 Puzzle 60.- Generalized Cunningham chain (By Felice Russo)
A Cunningham chain of length k (of the first kind) is a sequence of k primes, each which is twice the proceeding one plus one.
A Cunningham chain of length k (of second kind) is a sequence of k primes, each which is twice the proceeding one minus one.
Carlos Rivera found (15/06/99) a 'Generalized Cunningham Chain' of first order and k = 10 members starting with the prime P1 = 228698251.
www.primepuzzles.net /puzzles/puzz_060.htm   (157 words)

  
 Amazon.com: Books: Cunningham's Encyclopedia of Crystal, Gem & Metal Magic   (Site not responding. Last check: 2007-11-07)
Cunningham has a way of cutting through the veils of arcane muddle and get right to the subject at hand.
Cunningham also includes a quick reference summary that is set up in a logical and easy to use format.
The late Scott Cunningham had a remarkable talent for compiling information into clear and readable accounts, such as his works on herbs,oils, incense, foods, etc. This book is no exception, as he offers an exhaustive encyclopedia about the magical properties of gems and precious metals.
www.amazon.com /exec/obidos/tg/detail/-/0875421261?v=glance   (1908 words)

  
 Rader's FFT algorithm - Wikipedia, the free encyclopedia
In such cases, supposing that the chain of primes extended all the way down to some bounded value, the recursive application of Rader's algorithm would actually require O(n
are called Sophie Germain primes, and such a sequence of them is called a Cunningham chain of the first kind.
The lengths of Cunningham chains, however, are observed to grow more slowly than log
en.wikipedia.org /wiki/Rader's_FFT_algorithm   (629 words)

  
 Cunningham chain - Freepedia   (Site not responding. Last check: 2007-11-07)
Category:Analytic number theory In mathematics, a Cunningham chain is a certain sequence of prime numbers.
Sequence A005602 in OEIS: the first term of the lowest complete Cunnigham Chains of the first kind of length n, for 1 <= n <= 14
Sequence A005603 in OEIS: the first term of the lowest complete Cunnigham Chains of the second kind with length n, for 1 <= n <= 15
en.freepedia.org /Cunningham_chain.html   (211 words)

  
 Port Security Oversight Hearing Held -- June 11, 2004 -- California Capitol Hill Bulletin -- Volume 11, Bulletin 19
Noel Cunningham, Director of Operations and Emergency Management, Port of Los Angeles, also testifying on behalf of The American Association of Port Authorities; and Mr.
Cunningham said that MTSA's aggressive schedule has posed significant challenges not only for the Coast Guard but for port authorities as well, even though the Los Angeles/Long Beach Port Complex is on track to be in compliance by the July 1, 2004 deadline.
Cunningham offered strong support for H.R. 2193 and H.R. 3712, He said that both bills focus on obtaining sufficient federal financial assistance to fund port security infrastructure projects, which is a top priority and the most important challenge currently facing the U.S. port industry.
www.calinst.org /bulletins/b1119h.htm   (1016 words)

  
 Part 4: Higher Order Solutions
Cunningham Chains: The is an obvious tendency for the n
Sequences of primes with this property are called Cunningham chains.
It is conjectured, but not proven, that there exist Cunningham chains of any finite length, which would imply the existence of solution sets of arbitrary size.
www.mathpages.com /home/kmath006/part4/part4.htm   (1324 words)

  
 Crater Chains Research   (Site not responding. Last check: 2007-11-07)
Earth is the only place we have yet to find CS crater chains.
There are hundreds of these types of "crater chains" in our solar system.
of "crater chains" being a nonrandom pattern, would be made by intelligence.
www.craterchains.com   (465 words)

  
 The Top Twenty: Cunningham Chain (1st kind)
Cunningham chains (of both kinds) are also called chains of nearly doubled primes.
Forthe same reason 'Cunningham Chain (p)'s and 'Cunningham Chain (2p+1)'s (which are Sophie Germain primes) are omitted.
For amusement purposes only we might seek to weight the chains on the list of largest known primes by an estimate of how rare chains of that length are.
www.utm.edu /research/primes/lists/top20/CunninghamChain.html   (437 words)

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