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	Wieferich prime - Wikipedia, the free encyclopedia
		In mathematics, a Wieferich prime is prime number p such that p² divides 2
		Wieferich primes were first described by Arthur Wieferich in 1909 in works pertaining to Fermat's last theorem.
		Prime numbers of this kind have been called Mirimanoff primes on occasion, but the name has not entered general mathematical use.
	www.wikipedia.org /wiki/Wieferich_prime (341 words)

	Encyclopedia: Wieferich prime (Site not responding. Last check: 2007-11-05)
		In mathematics, a prime number (or prime) is a natural number greater than one whose only positive divisors are one and itself.
		In mathematics, a Mersenne prime is a prime number that is one less than a power of two.
		The following theorem connecting Wieferich primes and Fermat's last theorem was proven by Wieferich in 1909: Pierre de Fermat Fermats last theorem (sometimes abbreviated as FLT and also called Fermats great theorem) is one of the most famous theorems in the history of mathematics.
	www.nationmaster.com /encyclopedia/Wieferich-prime (900 words)

	Station Information - Wieferich prime
		In mathematics, a Wieferich prime is a certain kind of prime number.
		A prime p is called a Wieferich prime iff p² divides 2
		= 2q − 1 is a Wieferich prime iff 2q − 1 divides p²; from this, it follows immediately that a Mersenne prime cannot be a Wieferich prime.
	www.stationinformation.com /encyclopedia/w/wi/wieferich_prime.html (342 words)

	Articles - Prime number (Site not responding. Last check: 2007-11-05)
		Twin prime conjecture: A twin prime is a pair of primes with difference 2, such as 11 and 13.
		A probable prime is an integer which, by virtue of having passed a certain test, is considered to be probably prime.
		With this definition, the primes of the field Q of rational numbers are represented by the standard absolute value function (known as the "infinite prime") as well as by the p-adic valuations on Q, for every prime number p.
	gaple.com /articles/Prime_number?mySession=e473fe3462c4839fdca02a65f... (2959 words)

	Prime_number
		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).
		From a mathematical viewpoint, it roughly states that the asymptotic distribution of primes (about 1/ log x of number less than x are primes, the prime number theorem) also holds for much shorter intervals of length about the square root of x (for intervals near x).
		Prime ideals are an important tool and object of study in commutative algebra, algebraic number theory and algebraic geometry.
	www.plasmatvwholesaler.com /search.php?title=Prime_number (2847 words)

	The Prime Glossary: Wolstenholme prime
		Wilson's theorem can be used to show that the binomial coefficient (np-1 choose p-1) is one modulo p for all primes p and all integers n.
		After searching through all primes up to 500,000,000, the only known Wolstenholme primes remain the lonely pair 16843 and 2124679.
		The primes p for which the central binomial coefficient (2p choose p) is 2 modulo p
	primes.utm.edu /glossary/page.php?sort=Wolstenholme (224 words)

	Prime Number
		In mathematics, a prime number, or prime for short, is a natural number larger than 1 that has as its only positive divisors (factors) 1 and itself.
		- 1 is prime for n = 3, 4, 6, 7, 12, 14, 30, 32, 33, 38, 94, 166,...
		+ 1 is prime for n = 1, 2, 3, 11, 13, 27, 37, 41, 73, 77, 116, 154...
	www.websters-online-dictionary.org /Pr/Prime+number.html (2155 words)

	Station Information - Wilson prime
		In mathematics, a Wilson prime is a certain kind of prime number.
		A prime p is called a Wilson prime if p² divides (p − 1)!
		The only known Wilson primes are 5, 13, and 563 (Sloane's A007540); if any others exist, they must be > 5 · 10
	www.stationinformation.com /encyclopedia/w/wi/wilson_prime.html (103 words)

	A {$p$}-adic study of the partial sums of the harmonic series, David W. Boyd
		A classical result of Wolstenholme states that, if $p > 3$ is prime, the numerator of $H_{p-1}$ is divisible by $p^2$.
		Here we consider, for a given prime $p$, the set $J_p$ of $n$ for which $p$ divides the numerator of $H_n$.
		We give a probabilistic argument that suggests that such primes have a density $1/e$ in the set of all primes, and experimentally confirm this by a determination of all such $p \le 10^5$.
	projecteuclid.org /Dienst/UI/1.0/Summarize/euclid.em/1048515811 (270 words)

	[No title]
		Primes such that sum of any two_neighbor_digits is prime A086244.
		%e A086259 1973 is a term because 1+9+7=17, 9+7+3=19, 7+3+1=11, and 3+1+9=13 are all prime.
		Since 10^(2m)+1 is odd and has no prime* factors of the form 4r+3 the number of ways writing 10^(2m)+1 as sum of 2 squares is just tau(10^(2*m)+1) (order matters).
	www.research.att.com /~njas/sequences/eisBTfry00108.txt (6461 words)

	Prime Number (Site not responding. Last check: 2007-11-05)
		Although the number 1 used to be considered a prime, it requires special treatment in so many definitions and applications involving primes greater than or equal to 2 that it is usually placed into a class of its own.
		Odd Primes.'' The first few primes are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37,...
		Prime Factorization Algorithms have been devised for determining the prime factors of a given
	www.math.sdu.edu.cn /mathency/math/p/p592.htm (740 words)

	Features News The Rising Nepal (Daily)
		The reelection of Prime Minister Girija Prasad Koirala for the second term as the Party President has shown that the trust of the active members at the general convention was firmly behind him.
		Though there were two other contestants in the fray namely former prime minister Sher Bahadur Deuba and Ramhari Joshi, but this could not bring about any hindrance to Prime Minister Koirala in winning convincingly.
		Edmund Barton, a Sydney lawyer and parliamentarian, became the leader of the Federation movement in NSW in the 1890s.A member of the constitution-drafting committee in 1891, he was its leader in 1897-98.
	nepalnews.com /contents/englishdaily/trn/2001/jan/jan26/features.htm (1876 words)

	Dr. Jack Shepard on Iain Hook's Assassination
		Prime Minister Tony Blair continues to cover-up these facts and even remains silent to his knowledge of Intelligence reports convening the planning and later the Assassination of a Fellow British UN Staffer who was trapped for hours in his UN Official Compound before he was shot in the back on Nov. 22, 2002.
		Hook and his staff were literally trapped in their compound, when Paul Wolstenholme and Mr.
		Prime Minister Tony Blair continues to cover-up Ariel Sharon’s very violent policies ; and his lack of criticism of the policies of the Ariel Sharon Government, shows his complicity and has caused the world crisis we have today.
	dr-jack-shepard-the-iain-hook-murder.blogspot.com (2278 words)

	Epinions.com - "Muse-icology": Muse in Boston, 4/15/2004 (Site not responding. Last check: 2007-11-05)
		Either way, Bellamy never let his diminuitive size affect his bombastic stage demeanor: that night, he was a presence to be reckoned with, a pint-sized mesh of indie melancholy and arena theatrics, with a voice that seemed to reach to high heaven.
		It was mere moments before my reaction to his size was overtaken by a reaction to his immense talent; everything sounds wonderful on record, of course, but until you witness in person Bellamy's pitch-perfect falsetto, fleet-fingered guitar technique, and dextrous piano work, the full effect doesn't really drive itself home.
		Throughout the show, Wolstenholme was a four-stringed beast, which, probably, is often unfairly overlooked in favor of Bellamy's gargantuan ability.
	www.epinions.com /content_3871187076 (1417 words)

	[No title] (Site not responding. Last check: 2007-11-05)
		Perhaps I was being too defensive when I suggested that the original poster hunt for the result in Niven&Zuckerman[&Montgomery].
		In response to a followup request I'll outline the proof of this ("Wolstenholme's congruence"), adapted from the NZM proof.
		Remaining assignment: This proof is not valid for all primes p.
	www.math.niu.edu /~rusin/known-math/99/wolstenholme (477 words)

	Wolstenholme Prime Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-11-05)
		Looking For wolstenholme prime - Find wolstenholme prime and more at Lycos Search.
		Find wolstenholme prime - Your relevant result is a click away!
		Look for wolstenholme prime - Find wolstenholme prime at one of the best sites the Internet has to offer!
	www.karr.net /encyclopedia/Wolstenholme_prime (147 words)

	Brief Profiles of Significant People
		She was the foundation vice-president of the Womanhood Suffrage League of NSW 1891 (later president), and foundation president of the Kindergarten Union, which opened its first free kindergarten in 1896.
		When the divorce law was extended in 1892, she divorced Wolstenholme for desertion.
		As Prime Minister, he was responsible for the establishment of the machinery of government and the White Australia Policy.
	www.bosnsw-k6.nsw.edu.au /hsie/bsvt/back01.html (1755 words)

	[No title]
		A prime p > 7 is a Wolstenholme prime if and only if sum(1/k^3, k = [p/6] + 1,..., [p/4]) = 0 (mod p).
		The only known Wolstenholme primes are 16843 and 2124679.
		(2^(4p) + 1)/17 is prime for p = 3, 5, 7, 23, 37, 89, 149, 173, 251, 307, 317 and no other values of p < 30197.
	www.loria.fr /~zimmerma/records/Wieferich.status (236 words)

	The Sunday Telegraph : Wolstenholme a character not just a caricature Mark Reason says the Walker Cup hero is a prime ... (Site not responding. Last check: 2007-11-05)
		Current Article: Wolstenholme a character not just a caricature Mark Reason says the Walker Cup hero is a prime candidate for the BBC Sports Personality of the Year aw
		Wolstenholme a character not just a caricature Mark Reason says the Walker Cup hero is a prime candidate for the BBC Sports Personality of the Year award
		Read 'The Sunday Telegraph: Wolstenholme a character not just a caricature Mark Reason says the Walker Cup hero is a prime candidate for the BBC Sports Personality of the Year award' with a FREE Trial for instant access »
	static.highbeam.com /t/thesundaytelegraph/september142003/wolstenholmeacharacternotjustacaricaturemarkreason/index.html (311 words)

	Wieferich prime - Encyclopedia, History, Geography and Biography (Site not responding. Last check: 2007-11-05)
		Wieferich prime - Encyclopedia, History, Geography and Biography
		This page was last modified 05:49, 1 May 2005.
		The article about Wieferich prime contains information related to Wieferich prime, The search for Wieferich primes, Properties of Wieferich primes, Wieferich primes and Fermat's last theorem, Also see, External links and Further reading.
	www.arikah.net /encyclopedia/Wieferich_prime (392 words)

	Parliamentary Campaigns
		After the Liberal Party victory in the 1906 General Election, the new Prime Minister, Henry Campbell-Bannerman, agreed to see a deputation from people campaigning for the vote.
		A little procession accompanied our deputation to the Prime Minister, including a body of women textile workers who came from Lancashire and Cheshire, and a group of working women from from the East End.
		Keir Hardie, in a gracious speech of thanks to the Prime Minister, made it quite clear that women could not be expected to accept his statement as final.
	www.spartacus.schoolnet.co.uk /Wparliament.htm (886 words)

	Wilson prime - Wikipedia, the free encyclopedia
		The only known Wilson primes are 5, 13, and 563 (sequence A007540 in OEIS); if any others exist, they must be greater than 5 · 10
		It has been conjectured that infinitely many Wilson primes exist, and that the number of Wilson primes in an interval [x, y] is about log(log(y) / log(x)).
		This page was last modified 03:00, 4 October 2005.
	www.wikipedia.org /wiki/Wilson_prime (124 words)

	Working with Fractions in Java
		With BigFraction.java as a tool, we also explore harmonic numbers, test numbers for primality using Wolstenholme's Theorem, and implement an unusual algorithm (Fractran) which can be used to generate prime numbers.
		The character Augustus Carmichael in Virginia Woolf's novel To the Lighthouse is based on Joseph Wolstenholme (1829-1891), according to a short biography in the MacTutor History of Mathematics archive.
		The sequence of steps at which it finds primes (19, 69, 281, 710, 2375, 3893, 8102, etc.) is sequence A007547 in Neil Sloane's On-Line Encyclopedia of Integer Sequences.
	www.merriampark.com /fractions.htm (2418 words)

	Prima de Wolstenholme (Site not responding. Last check: 2007-11-05)
		En matemáticas, una prima de Wolstenholme es cierta clase de número primero.
		Wolstenholme prepara se nombra después del matemático José Wolstenholme, que probó el teorema de Wolstenholme, la declaración equivalente para p
		El único Wolstenholme conocido prepara es hasta ahora 16843 y 2124679 (la secuencia A088164 en OEIS); cualquier otra prima de Wolstenholme debe ser mayor de 6.4 · 10
	www.yotor.net /wiki/es/pr/Prima%20de%20Wolstenholme.htm (115 words)

	Number Theory Science, Directory (Site not responding. Last check: 2007-11-05)
		Some Number-Theoretical Constants Products of rational functions of p over primes, computed by Gerhard Niklasch and Pieter Moree.
		Klein Polyhedra Examples and algorithms for computing Klein polyhedra, also known as Arnold sails or veils (voiles), by Keith Briggs.
		Wolstenholme's Theorem, Stirling Numbers, and Binomial Coefficients A web paper by Ronald Bruck.
	www.flashunion.org /ZmxzXzI2OTI5.aspx (675 words)

	Book Review
		John Major, former Prime Minister of Britain tells his life story beginning with his unusual upbringing in inner-city London as the son of circus performers.
		There is enough background information to give you an insight into the man himself and he is frank about the triumphs and mistakes he made while Prime Minister.
		He is happy to tell the real story behind the headlines and scandals that occasionally plagued his Government but is firm in detailing what he saw as his triumphs.
	www.allreaders.com /BookRView.asp?BRID=60765 (120 words)

	Amazon.com: Nexus [IMPORT]: Music (Site not responding. Last check: 2007-11-05)
		The good news is the cooperation between him and Wooly Wolstenholme, who left the group nearly 20 years ago for a another career.
		John Lees got his friend and former BJH keyboard player Woolly Wolstenholme out of the Welsh valleys to create this album.
		Of the new songs, "Float" is for Wolstenholme lovers (like "Sunday Bells" or "Maestoso"), and album closer "Starbright" is perhaps the most beautiful Lees song ever (the guitar solo is similar to "After The Day").
	www.amazon.com /exec/obidos/tg/detail/-/B00000IK1U?v=glance (1151 words)

	WIFC (World Integer Factorization Center)
		After finished to factor under 100 digits, several members reported further results over 100 digits, so I extended the search range up to 150 or certain digits, and added the new series of numbers, Wolstenholme numbers 3, 4 (numerator of sigma(1/n^i)), fourier coefficients of j(tau) (elliptic modular function), partition numbers.
		PPSIQS is the double large primes procedure variation of the self-intializing quadratic sieve.
		But it is not apparent that these numbers are prime or not.
	www.asahi-net.or.jp /~KC2H-MSM/mathland/matha1 (1762 words)

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