
	Where results make sense

Topic: Primorials

Related Topics

Vladivostok

Amur Leopard

In the News (Mon 21 Dec 09)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	primorials (Site not responding. Last check: 2007-11-06)
		A primorial is an integer that is the product of the first given prime numbers multiplied together.
		For example, 210 is a primorial which is the product of the first four primes multiplied together (2 x 3 x 5 x 7).
		The name is atttributed to Harvey Dubner.The first few primorials are
	www.yourencyclopedia.net /Primorials.html (151 words)

	primorial (Site not responding. Last check: 2007-11-06)
		For n ≥ 2, the primorial n# is the product of all prime numbers less than or equal to n.
		Primorials play a role in the search for prime numbers in additive arithmetic progressions.
		Every highly composite number is a product of primorials (e.g.
	www.yourencyclopedia.net /Primorial.html (218 words)

	Primorials (Site not responding. Last check: 2007-11-06)
		For example, 210 is a primorial which is the product of thefirst four primes multiplied together (2 x 3 x 5 x 7).
		The idea of multiplying all primes occurs in the proof of the infinitude of the prime numbers ; it is applied to show a contradiction in the idea that theprimes could be finite in number.
		For instance, 2236133941 + 23#results in a prime, beginning a sequence of thirteen primes found by repeatedly adding 23#, and ending with 5136341251.
	www.therfcc.org /primorials-103063.html (167 words)

	Puzzle 10.- Primes associated to Primorials and Factorials
		In this case we were looking for "big" primes (titanic) and with the added condition of providing enough known factors enable to make the rigorous primality test.
		The most obvious candidates were the "primorials" just because they provide in themselves the needed factors.
		But is known that simple primorials aren’t a safe way to provide a prime.
	primepuzzles.net /puzzles/puzz_010.htm (509 words)

	Math words page 11
		Primorial or Prime Factorial Primorial is a blending of the words prime and factorial to indicate a product of consecutive prime numbers less than or equal to some stated argument.
		One of the interesting features of the primorials is that the limit as n goes to infinity of the nth-prime root of the nth primorial approaches the natural base, e.
		[for example when n=3, the third prime is 5 and the third primorial is 30, so the third term of the sequence would be the fifth root of 30.
	www.pballew.net /arithm11.html (4683 words)

	Wikipedia:Ich brauche Hilfe/Archiv/2005/März/1 - Wikipedia
		Selbst in den dicksten Wörterbüchern konnte ich keine Übersetzung finden, der Ausdruck "Primorial" scheint das wahrscheinlichste zu sein, selbst wenn der 24-bändige Brockhaus den Begriff nicht kennt.
		vielleicht einfach das Lemma "Primorial" anlegen - ist natürlich nur blöd, wenn das keiner kennt ;).
		Was möglich wäre ist, das "primorial" als Unterpunkt bei der Fakultät oder der Primzahl unterzubringen.
	de.wikipedia.org /wiki/Wikipedia:Ich_brauche_Hilfe/Archiv/2005/M%C3%A4rz/1 (8112 words)

	Encyclopedia: 2 (number)
		Two is a primorial, as well as its own factorial.
		Two often occurs in numerical sequences, such as the Fibonacci number sequence, but not quite as often as one does.
		Two is also a Motzkin number, a Bell number, an all-Harshad number, a meandric number, a semi-meandric number, and an open meandric number.
	www.nationmaster.com /encyclopedia/2-%28number%29 (4927 words)

	Prime Curios!: 2310 (Site not responding. Last check: 2007-11-06)
		This number, 11 primorial, is one of the rare primorials to fall in the middle of twin primes.
		Two other primorials with this property are 6 and 30.
		The largest primorial with all digits distinct: 0, 1, 2 and 3.
	primes.utm.edu /curios/page.php/2310.html (53 words)

	The Prime Glossary: primorial prime
		Clearly the primorial numbers themselves, n#, are rarely prime (in fact just for n = 2 where 2# = 2).
		So when defining primorial primes authors considered two different flavors--primorials plus one: p#+1 and primorials minus one: p#-1.
		We call primes of both of these forms primorial primes.
	primes.utm.edu /glossary/page.php?sort=PrimorialPrime (197 words)

	Primorial (Site not responding. Last check: 2007-11-06)
		For example 210 is a primorial is the product of the first four multiplied together (2 x 3 x 5 7).
		The name is atttributed to Harvey The first few primorials are
		For 2236133941 + 23# results in a prime a sequence of thirteen primes found by adding 23# and ending with 5136341251.
	www.freeglossary.com /Primorial (433 words)

	Primorial -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-06)
		For n ≥ 2, the primorial (n#) is the product of all (An integer that has no integral factors but itself and 1) prime numbers less than or equal to n.
		Every (Click link for more info and facts about highly composite number) highly composite number is a product of primorials (e.g.
		(Click link for more info and facts about Primorial prime) Primorial prime
	www.absoluteastronomy.com /encyclopedia/p/pr/primorial.htm (248 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Primorials, denoted as P#, are computed in a manner very much like the factorials, denoted as n!.
		Primorials are estimated for large P by the simpler formula:
		We have no proof of our answer so we call it BCF Conjecture I: The Superdivisibles are the Primorials.
	www.ridgecrest.ca.us /~jebush/bcf/eul/Sent3tot.html (906 words)

	Primoproth co-ordinated search (Site not responding. Last check: 2007-11-06)
		Payam Samidoost shows that primorials p# are not the most efficient k values which eliminate all factors less than p, for either + or -1.
		However primorials are the most efficient at eliminating all factors less than p for both + and -1
		One of the targets of the group is to make a contribution to the Ray Ballinger Suggestion, shown at the prime puzzle pages.
	home.btclick.com /rwsmith/pp/page9.htm (154 words)

	Primes in Arithmetic Progression Records
		The longest known AP is 23 primes in arithmetic progression by Markus Frind, Paul Jobling and Paul Underwood.
		k# (called k primorial) is the product of all primes ≤ k, e.g.
		Expressions with larger primorials are often used in AP searches to avoid more small factors.
	bednorz.uni2.net /jka/math/aprecords.htm (852 words)

	Tables Factoring Number Theory Math Science
		Factorization of Cyclotomic Numbers - Hisanori Mishima is coordinating the search and producing tables of factorizations of cyclotomic numbers for values of phi(n) less than 48.
		Factorization Results - Tables, summaries, and links to many factoring endeavors, including primorials, factorials, and cyclotomic polynomials.
		Factorizations of Repunit Numbers - Tables available in text and compressed format.
	www.24up.org /Science/Math/Number_Theory/Factoring/Tables (272 words)

	Goldtoe Lemon.Nut: We defy augury
		I'll find you a pattern in the abstraction and leave you convinced the Pope is the Devil.
		But if I tell you that the 6th, 7th and 8th primorials are 30030, 510510 and 9699690...
		But, you know, I sincerely believe that your deal's nice too.
	goldtoe.net /2002/10/we-defy-augury.html (82 words)

	Primorial prime - Wikipedia, the free encyclopedia (Site not responding. Last check: 2007-11-06)
		A primorial prime is a number that is one less or one more than a primorial and also a prime number.
		The article on primorials at http://mathworld.wolfram.com/Primorial.html, from Wolfram Research, the makers of Mathematica 4.
		This page was last modified 03:30, 24 Jun 2004.
	www.encyclopedia-online.info /Primorial_prime (69 words)

	Mersenne: Primorials perfect, personally, for perfect prime powers
		Mersenne: Primorials perfect, personally, for perfect prime powers
		I gave this one to George, he gave a pretty good explanation, but I wanted to see what everyone else thought.
		Mersenne: Primorials perfect, personally, for perfect prime powers Mrkshyper
	www.mail-archive.com /mersenne@base.com/msg04710.html (432 words)

	Factorization Results, Tables, summaries, and links to many factoring endeavors, including primorials, factorials, and ... (Site not responding. Last check: 2007-11-06)
		Factorization Results : Tables, summaries, and links to many factoring endeavors, including primorials, factorials, and cycl...
		This table includes all known prime factors of the numbers in the range 10^(10^100) to 10^(10^100)+999, including more than 57000 prime factors of googolplex + 10.
		Cullen numbers are of the form n.2^n + 1 and Woodall numbers are n.2^n - 1.
	ratings.designerz.com /?ratingfor_item=http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/index.htm (509 words)

	Omega
		The 'explanation' for this jumping phenomenon turns out to be heuristics based on a conjecture.
		The jumping champions are 4 and the primorials 2, 6, 30, 210, 2310,....
		There seems to be little hope of making any progress towards a proof of Conjecture 1 without assuming at least a quantitative form of the k-tuple conjecture.
	mywebpages.comcast.net /dantsmith/nexu38.htm (11764 words)

	Primorial
		Amazon.com reports that it carries about 209 items relevant to Primorial
		You can click on this message to see their list of those items.
		Sorry, no screened links relevant to Primorial were found:
	www.omniknow.com /common/wiki.php?in=en&term=Primorial (339 words)

	PHIFTN
		#n is THE NTH PRIMORIAL IF, AND ONLY IF, #n IS THE PRODUCT OF THE FIRST n PRIMES, n = 1,2,3,...
		·5 = 360; etc. Note that ##(n+1) = ##n·(#n), where #n is THE nTH PRIMORIAL.
		Before finding the Aigner criterion, I read somewhere that the criterion for a differential operator is being a homologue of Leibnitz's product-derivative rule, as follows: given u = u(x), v = v(x), D
	members.fortunecity.com /jonhays/phipart.htm (617 words)

Try your search on: Qwika (all wikis)