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	Station Information - Woodall number
		Woodall numbers were first studied by A. Cunningham and H. Woodall in 1917, inspired by J. Cullen's earlier study of the similarly-defined Cullen numbers.
		Woodall numbers that are also prime numbers are called Woodall primes; the first few exponents n for which the corresponding Woodall numbers W
		It is conjectured that almost all Woodall numbers are composite; a proof has been submitted by Suyama, but not verified yet.
	www.stationinformation.com /encyclopedia/w/wo/woodall_number.html (196 words)

	What's Special About This Number?
		is the number of planar partitions of 10.
		is the number of planar partitions of 11.
		is the number of planar partitions of 12.
	www.stetson.edu /~efriedma/numbers.html (7257 words)

	Woodall number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-06)
		Woodall numbers were first studied by A. Cunningham and (Click link for more info and facts about H. Woodall) H.
		The first few Woodall numbers are (The smallest whole number or a numeral representing this number) 1, (The cardinal number that is the sum of six and one) 7, (The cardinal number that is the sum of twenty-two and one) 23, (Click link for more info and facts about 63) 63, 159, 383, 895,...
		Woodall numbers that are also (An integer that has no integral factors but itself and 1) prime numbers are called Woodall primes; the first few exponents n for which the corresponding Woodall numbers W
	www.absoluteastronomy.com /encyclopedia/w/wo/woodall_number.htm (381 words)

	Encyclopedia: Woodall-number
		In mathematics, a Woodall number is a natural number of the form n · 2
		Woodall numbers were first studied by A. Cunningham and H.
		In mathematics, a prime number, or prime for short, is a natural number greater than one and whose only distinct positive divisors are one and itself.
	www.nationmaster.com /encyclopedia/Woodall_number (603 words)

	Encyclopedia: Prime number
		A natural number that is greater than one and is not a prime is called a composite number.
		Prime numbers are of fundamental importance in number theory.
		The prime number theorem says that the proportion of primes less than x is asymptotic to 1/ln x (in other words, as x gets very large, the likelihood that a number less than x is prime is inversely proportional to the number of digits in x).
	www.nationmaster.com /encyclopedia/Prime-number (7323 words)

	The Prime Glossary: Woodall number
		The Woodall numbers are sometimes called the Cullen numbers (of the second kind).
		Woodall numbers that are prime are called Woodall primes (or Cullen primes of the second kind) It is conjectured that there are infinitely many such primes.
		Suyama appears to have shown that almost all Woodall numbers are composite [Keller95].
	primes.utm.edu /glossary/page.php?sort=WoodallNumber (286 words)

	Abstracts of Dr Woodall's recent papers
		We estimate the minimum number of edges possible in a k-critical t-uniform hypergraph with a given number of vertices.
		In the case when the generated graph of the hypergraph has bounded clique number, we give a lower bound that is valid for sufficiently large k and is asymptotically tight in k; this bound holds also for list strong colourings.
		Woodall, Erratum to "A zero-free interval for chromatic polynomials" [Discrete Mathematics 101 (1992) 333-341], Discrete Math.
	www.maths.nott.ac.uk /personal/drw/abstracts.html (2594 words)

	MSC Forsyth Center Galleries - Art of English Cameo Glass
		Thomas Woodall (1849-19260, who had gone to work at Webb’s as a draftsman in about 1874 was one of the principal members of the team and soon became head of Webb’s cameo glass department.
		In both of these works, Woodall, by sheer mastery of his technical skills, was able to achieve an astonishing pictorial depth in carvings that are barely one quarter of an inch deep.
		In light of Woodall’s efforts to have cameo glass elevated to the realm of art, it seem appropriate that the last piece he is known to have worked on was The Origin of Painting plaque.
	forsyth.tamu.edu /cameoglass (5462 words)

	Nuwaubian land sale sparks little controversy (Site not responding. Last check: 2007-11-06)
		Woodall's number is the one painted on the "for sale" sign erected Tuesday afternoon.
		Woodall said the property's nine owners are not ready to make any public comment about their decision to put the land on the market.
		Woodall, acting as manager of the trust, deeded the land in June to the nine individuals now listed as property owners.
	www.rickross.com /reference/nuwaubians/nuwaubians1.html (592 words)

	Clearing up the market cycle... best Woodall Number (Site not responding. Last check: 2007-11-06)
		Woodall Number -- from MathWorld Woodall Number -- from MathWorld A Woodall number is a number of the form W_n=2^n n-1.
		A Woodall number is a number of the form.
		In mathematics, a Woodall number or Riesel number is a natural number of the form n · 2n b'>The Chronology of Prime Number Records
	ascot.pl /th/Fourier5/Woodall-Number.htm (832 words)

	ipedia.com: 800 (number) Article (Site not responding. Last check: 2007-11-06)
		This number is the magic constant of nxn magic square and n-Queens Problem for n = 12.
		This is the number of nxn magic squares for n = 4.
		881 prime number, sum of nine consecutive primes (79 + 83 + 89 + 97 + 101 + 103 + 107 + 109 + 113)
	www.ipedia.com /800__number_.html (961 words)

	Factoring
		This is simply dividing the number by small prime numbers, (starting with 2, then 3 and 5 and 7, and so on) and checking for a remainder of zero.
		In this write-up, “C” refers (I think) to the set of “complex numbers”, which are numbers of the form a+bi, where a and b are real numbers (or perhaps integers?) and i is sqrt(-1).
		The number to be factored is one which is composite, but for which the other factoring methods have not produced any factors.
	home.netcom.com /~jrhowell/math/factor.htm (3357 words)

	Cullen number - Art History Online Reference and Guide
		In mathematics, a Cullen number is a natural number of the form n · 2
		Cullen numbers were first studied by Rev. James Cullen in 1905.
		It has been shown that almost all Cullen numbers are composite; the only known Cullen primes are those for n = 1, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, and 481899.
	www.arthistoryclub.com /art_history/Generalized_Cullen_number (247 words)

	Full list of Dr Woodall's papers
		Woodall and R. Wilson, The Appel-Haken proof of the four-color theorem, in L.
		Woodall, Subcontraction-equivalence and Hadwiger's conjecture, J. Graph Theory 11 (1987), 197-204.
		Woodall, Cyclic-order graphs and Zarankiewicz's crossing-number conjecture, J. Graph Theory 17 (1993), 657-671.
	www.maths.nott.ac.uk /personal/drw/papers.html (1603 words)

	Section 5
		Since each Fermat Number is almost the square of the previous, the actual size of these grows rapidly as m increases, so that applying Pepin's Test for higher values of m is a massive task.
		There are Cullen numbers at n = 1, 141, 4713, etc., the current largest is at n = 481899 (Morii, Gallot, 1998), and there are Woodall numbers at n = 2, 3, 6, 30, 75, 81, 115, 123, etc., the current largest at n = 667071 (Toplic, Gallot, 2000).
		There exists and number S such that every sufficiently large integer is the sum of at most S primes.
	www.glasgowg43.freeserve.co.uk /pfaq5.htm (2216 words)

	Roger E. Woodall - Sculptor
		I feel extremely fortunate in having been able, eventually, to pursue my first choice of profession (in my youth, being an artist was not considered a "proper job"!).
		An exhibition of paintings and sculpture curated by Woodall and Evans
		Woodall and Evans, Fine Art and Calligraphy, 2000-3
	www.woodall-evans.abelgratis.co.uk (361 words)

	100 largest factors found by ECM
		the coefficient of x^n in series(jell(x),x) in Pari; J(n) is the n-th Jones number, i.e.
		the numerator of the coefficient of x^n in the series expansion of tan(x); V(p,q,n) is a^n+b^n where (a,b) are roots of x^2-px+q [sum(k^n, k=RootOf(x^2-px+q)) in Maple-notation]; W(n) denotes the n-th Woodall number n2^n-1; W1(n) is the numerator of the n-th Wolstenholme number* 1+1/2+...+1/n.
		(3) special numbers: c93 is a divisor of p118-1, where p118 is a divisor of 10^211-1.
	www.loria.fr /~zimmerma/records/top100.html (245 words)

	Woodall number - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-11-06)
		Woodall number - Encyclopedia, History, Geography and Biography
		This page was last modified 14:49, 12 Jun 2005.
		The article about Woodall number contains information related to Woodall number and External links.
	www.arikah.net /encyclopedia/Woodall_number (255 words)

	Woodall Number Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-11-06)
		Looking For woodall number - Find woodall number and more at Lycos Search.
		Find woodall number - Your relevant result is a click away!
		Look for woodall number - Find woodall number at one of the best sites the Internet has to offer!
	www.karr.net /encyclopedia/Woodall_number (147 words)

	Problem 5.- Missed prime factors in Woodall numbers
		A Woodall number is of the following form : n*2
		The smallest Woodall numbers with unknown prime factors are :
		Woodall number 441, [4412^441-1] was previously: W441 = 79 881 * 1583 * 40018379959 * 268430213562016447 * C100
	www.primepuzzles.net /problems/prob_005.htm (443 words)

	Distributed Computing Projects (Site not responding. Last check: 2007-11-06)
		A few are well-organized and have a large number of participants.
		However, there are a number of software clients available that look for factors of Fermat numbers.
		A multiperfect number (or "MPFN" for short) is a positive integer whose divisors add up to some larger multiple of the original number; that is, sigma(N) = kN for some integer k greater than 2.
	distcomp.rynok.org /dcprojects.htm (1073 words)

	The Chronology of Prime Number Records
		Numbers of the form n!+/-1 are called factorial primes.
		The Woodall Primes are of the form n 2
		In order to help us maintain these lists, please let us know of any corrections, information about non evocated periods (date, prime, digits number, discoverer), comments, suggestions, related WWW links.
	perso.wanadoo.fr /yves.gallot/primes/chrrcds.html (420 words)

	Generalized Woodall Numbers
		A Woodall prime is any prime number of the same form.
		Initially primes were discovered using the program Primeform, developed by Chris Nash and most primes below with an exponent less than 1000 are probable primes.
		Yves Gallot has added a primality test for generalized Woodall primes to version 5.6 of Proth.
	science.kennesaw.edu /~jdemaio/generali.htm (200 words)

	WIFC (World Integer Factorization Center)
		I started this project (factorize various numbers under 100 digits) on 1991 using 80286 PC with 80386 (8 MHz) board.
		But it is not apparent that these numbers are prime or not.
		Partition Number is the number of partitions of n.
	www.asahi-net.or.jp /~KC2H-MSM/mathland/matha1 (1762 words)

	Woodall number (Site not responding. Last check: 2007-11-06)
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		Woodall numbers were first studied by A. Cunningham and H. Woodall in 1917, inspired by James Cullen's earlier study of the similarly-defined Cullen numbers.
		A generalized Woodall number is defined to be a number of the form n · bn − 1, where n + 2 > b; if a prime can be written in this form, it is then called a generalized Woodall prime.
	www.sciencedaily.com /encyclopedia/woodall_number (265 words)

	Prime Number Data (Site not responding. Last check: 2007-11-06)
		These are a few listings of prime number searches I am coordinating.
		Most are related to Woodall numbers, i.e.
		If you would like to join in searching for primes of any of the forms listed on these pages, just send me email.
	www.geocities.com /harvey563 (80 words)

	Yves Gallot's Proth Search Page
		Some spent hundreds of hours checking ranges that were already known to be barren.
		MultiSieve for sieving of factorials, Cullens, and Woodalls
		LLR to prove primality of numbers of the form k.
	prothsearch.net (261 words)

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