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Topic: Regular prime

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Cullen prime

Twin prime conjecture

Mersenne prime

Unsolved problems in mathematics

Riemann hypothesis

Complexity classes P and NP

Magic square

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	PlanetMath: regular prime (Site not responding. Last check: 2007-10-05)
		An irregular prime is a prime that is not regular.
		Regular primes rose to prominence as a result of Ernst Kummer's work in the 1850's on Fermat's Last Theorem.
		This is version 3 of regular prime, born on 2002-06-05, modified 2005-04-20.
	planetmath.org /encyclopedia/RegularPrime.html (243 words)

	The Prime Glossary: regular prime
		The mathematician Kummer called a prime regular if it does not divide the class number of the algebraic number field defined by adjoining a pth root of unity to the rationals.
		It is relatively easy to show that there are infinitely many irregular primes, but the infinitude of regular primes is still just a conjecture.
		Regular primes have an irregularity index of zero.
	primes.utm.edu /glossary/page.php?sort=Regular (301 words)

	Generating Functions For Regular Prime k-tuple Sequences (Site not responding. Last check: 2007-10-05)
		A regular prime k-tuple sequence is defined as a finite sequence of primes with fixed intervals of k units.
		Tony Forbes' k-tuplets represent the densest stretch of successive primes within a specified integer range whereas a regular prime k-tuple represents the longest contiguous sequence of primes with regular intervals of k units.
		Regular prime 1-tuple to 50-tuple are computed using equation (2) and reported in Table 1.
	web.singnet.com.sg /~huens/paper58.htm (2238 words)

	Regular prime - Wikipedia, the free encyclopedia
		A prime number p is regular if it does not divide the class number of the p-th cyclotomic field (that is, the algebraic number field obtained by adjoining the p-th root of unity to the rational numbers).
		It has been conjectured that there are infinitely many regular primes.
		Historically, regular primes were first considered by Ernst Kummer, who was able to prove that Fermat's last theorem holds true for regular prime exponents (and consequently for all exponents that were multiples of regular primes).
	en.wikipedia.org /wiki/Regular_prime (250 words)

	[No title]
		Regular Robot Mode: 7" (18cm) tall and decently chunky, the colors are pretty close to "classic" ones, except that the forearms are blue instead of red.
		Prime's big gun normally stores inside the trailer, but its screw hole can be plugged onto one of the hardpoints on the "wings" as well.
		Prime can't even point his guns all the way up to horizontal, so it's a good thing everyone is shorter than he is! Oh, and the head turns.
	www.eyrie.org /~dvandom/BW/Armada/Super1 (3021 words)

	College of Liberal Arts
		"Prime time" classes are defined as those classes that start at 9:30 a.m., 11:00 a.m., 12:30 p.m.
		In making initial room assignments, the college will make incremental adjustments to improve equity for departments whose share of prime time regular classroom space is markedly lower than their share of the college enrollment.
		"Prime time" classes are defined as those classes that start at 9:30 a.m., 11:00 a.m., 12:30 p.m.
	www.csulb.edu /~ddowell/RoomGuidelines.htm (228 words)

	The Top Twenty: Irregular Primes
		As part of the Prime Pages and its list of the Largest Known Primes, we keep a list of the 5000 largest known primes (currently those with 75264 digits or more) plus twenty each of certain selected forms.
		i/p). A regular prime is one that is not irregular.
		The smallest irregular prime is 37, which divides the numerator of B(32) = - 7709321041217/510.
	primes.utm.edu /top20/page.php?id=26 (714 words)

	LEXSEE 32 F
		Since it wishes to be able to present its regular three hours of prime time evening programs on these days, it requests a waiver for the Eastern and Central time zone to the small extent it may be necessary.
		In general, they contemplate use of prime time for sports coverage as a matter of plan and regular course, on a substantial number of days, n3 to be presented along with the usual amount of network prime time programming, usually entertainment.
		However, here also we must bear in mind the undesirability of permitting large-scale network incursion into prime time reserved for non-network sources, even when it is accompanied by preemption of their regular prime-time programs.
	www.uiowa.edu /~cyberlaw/FCCOps/1971/32F2_58.htm (3103 words)

	Math Games: Prime Megagap
		An example of a prime gap of size 20 is found between primes 887 and 907.
		With numbers of this size, the average gap is ln(887) ~ 6.78, by the prime number theorem.
		Probable primes are prime with a 99.99999999999999% certainty, and this battery of tests never fails for numbers under 10^16.
	www.maa.org /editorial/mathgames/mathgames_01_25_04.html (862 words)

	7 on 7 Football - Prime Time Sports
		Prime Time Sports does not require teams to be made up of players from the same school, but we strongly recommend it, as this is a chance for your team to develop teamwork skills and to practice schemes that they will use in the fall.
		Prime Time Sports 7 on 7 Football Tournaments offer kids and teams the opportunity to practice their skills so they can be better prepared for football in the fall.
		Prime Time Sports only uses qualified, certified officials to referee Prime Time Sports 7 on 7 Football Tournaments.
	www.primetimesportz.com /football-faq.html (927 words)

	[No title]
		Therefore the language of palindronmes are not regular.
		This is a contradiction, because all strings in PRIME are of the form a^p where p is prime.
		This contradiction arose from the assumption that PRIME was a regular language.
	www.unf.edu /public/cot3210/ree/Notes/ch10 (1198 words)

	SAVEgateway Document Delivery
		The largest known prime number may be found in chongo's table of Mersenne Prime Digits and Names.
		Mersenne numbers are primes that take the form 2 to some power, minus 1 - in other words, 2 multiplied by itself a certain number of times with 1 subtracted from the result.
		The next largest ''regular'' prime number is 5, and the next largest Mersenne prime is 7, or 2 to the 3rd power (2x2x2=8) minus 1.
	www.isthe.com /chongo/tech/math/prime/mercnews.html (869 words)

	Lesson Plans: Beginning to Model Fractals with an emphsis on constructing Prime-gons
		Define a prime-gon as a regular constructible polygon whose sides are a prime number.
		This means that regular polygons can be constructed with a compass and straightedge only with these numbers of sides.
		To construct a regular pentagon, one method is to construct a sublime triangle and build from the sublime triangle.
	utopia.utexas.edu /lesson_plans/2005/burkhead_2fractalandprimegon.php (699 words)

	Fermat's Last Theorem: Regular Primes: Next Steps
		Ernst Kummer presented his proof that Fermat's Last Theorem is true for regular primes in April of 1847.
		To dive into the advances made with regard to regular primes, it is first necessary to review the Euler Product Formula and show how this formula lead's to Dirichlet's formula for class number.
		I will show that if a prime does not divide its class number, then this shows that a prime is regular (in other words, using the definition of regular primes, Condition (A) implies Condition (B)) and finally, I will show that 37 is an irregular prime.
	fermatslasttheorem.blogspot.com /2006/08/regular-primes-next-steps.html (406 words)

	The Transformers Archive » Transformers Toys
		Always in favor of peace, Optimus Prime will not hesitate to use his great powers and vast arsenal of weapons to stop Megatron and the Decepticons from threatening the universe.
		Now Prime's truck mode is easily recognized as based on the previous one, but the vehicle itself is a good bit different.
		After a transformation that is based on but not quite like his big brother, Prime's robot mode is well, I guess it depends on who you are.
	tfarchive.com /toys/reviews/ene_primevsmegatron.php (1267 words)

	Regular Prime -- from Wolfram MathWorld
		prime which is not regular is said to be an
		In 1915, Jensen proved that there are infinitely many irregular primes.
		It has not yet been proven that there are an infinite number of regular primes (Guy 1994, p.
	mathworld.wolfram.com /RegularPrime.html (201 words)

	DLT06: Abstract for Paper (Site not responding. Last check: 2007-10-05)
		We investigate factorizations of regular languages in terms of prime languages.
		A language is said to be strongly prime decomposable if any way of factorizing the language yields a prime decomposition in a finite number of steps.
		We give a characterization of the strongly prime decomposable regular languages and using the characterization we show that every regular language over a unary alphabet has a prime decomposition.
	dlt2006.cs.ucsb.edu /4.html (89 words)

	Irregular Prime -- from Wolfram MathWorld
		Kummer was able to prove Fermat's last theorem for all prime exponents falling into a class he called "regular." "Irregular" primes are thus primes that are not a member of this class, and a prime
		An infinite number of irregular primes exist, as proven in 1915 by Jensen (Vandiver and Wahlin 1928, p.
		In fact, Jensen also proved the slightly stronger result that there are an infinite number of irregular primes congruent to 5 (mod 6) (Carlitz 1968), a result subsequently improved by Montgomery (1965).
	mathworld.wolfram.com /IrregularPrime.html (452 words)

	Philadelphia Eagles
		Also, head coach Andy Reid is 16-2 in prime time with the Eagles (15-2 in the regular season, 1-0 in the postseason).
		The Eagles are 37-22 in prime-time regular season matchups and 1-0 in the postseason.
		Reid's teams have more than doubled their prime time opponents' point totals, outscoring them 429-226 in the regular season, an average scoring margin of +11.3 points.
	www.philadelphiaeagles.com /homeNewsDetail.jsp?id=25424 (450 words)

	Communication at CDC: Entertainment Education: Resources for TV Writers and Producers: Healthstyles Surveys: 2000
		The dataset consists of responses from 28 items that describe the characteristics of prime time TV viewers, and the effects of health content from TV storylines on their learning about health and actions taken.
		The Porter Novelli HealthStyles survey is one of a pair of linked postal mail surveys sent to a sample of adults ages 18 and older, which is drawn to be nationally representative on seven U.S. Census Bureau demographic characteristics.
		The weekly format of prime time entertainment TV shows allows audiences to develop familiarity with regular characters, and identification with characters they perceive to be like themselves.
	www.cdc.gov /communication/surveys/surv2000.htm (1593 words)

	Maz Article: Red-footed Optimus Prime
		This is not just a regular Optimus Prime in regular G1 packaging which happens to have its feet painted red instead of blue, even though it REALLY does seem that that is all Redfoot Prime is. The box front picture above also does nothing to make the casual observer believe there's something that runs deeper.
		With all that taken into consideration, this Redfoot Prime in my opinion is worthy of recognition as a solid G1 variant with enough personality and mystery to be called 'special'.
		For the sake of completeness, the Redfoot Prime was made in France, probably released very late 1984 or very early 1985 and was available mostly in France and the UK.
	www.tfsource.com /articles/Redfoot.html (1965 words)

	UCLA News
		Minority regular characters are concentrated on relatively few shows and within only a few genres, according to the analysis.
		The study was conducted from October to December 2002 and focused on the top 10 genres on television; it found that Latino regular characters or hosts are missing from six of the top 10 genres.
		Latinos account for 6 percent of regular characters on the police-crime-detective genre, the study showed.
	newsroom.ucla.edu /page.asp?id=4071 (679 words)

	How Many Squares
		Regular prime number, magic squares are constructed in an orderly manner and can be decomposed into magic carpets (Latin squares) with the following properties:
		Regular prime number pan-magic squares decompose into two Magic Carpets - or Latin Squares if they are presented as letters.
		Prime number Latin squares are made with "Knight's moves" - two steps forward and one to the side (2x1).
	www.grogono.com /magic/howmany.php (1294 words)

	PRESS RELEASE Prime Rate Plus Corp.: Regular Monthly Dividend Declaration (Site not responding. Last check: 2007-10-05)
		Prime Plus also declares its regular monthly distribution of $0.05208 (6.25% annualized) for each Preferred share which reflects the distribution policy of prime rate plus 0.75% annually.
		Since inception Class A shareholders have received a total of $0.78 per share and Preferred shareholders have received a total of $0.45 per share inclusive of this distribution, for a combined total of $1.23.
		Prime Plus invests in a portfolio of six publicly traded Canadian Banks as follows: Bank of Montreal, Canadian Imperial Bank of Commerce, National Bank of Canada, Royal Bank of Canada, Bank of Nova Scotia, Toronto-Dominion Bank.
	www.marketwire.com /mw/release_html_b1?release_id=123824 (426 words)

	ChicagoSportsReview.com
		Most games were "regular" games, but some were "value" games (ticket prices were reduced) and others were "prime" games (ticket prices were increased).
		But-surprise, surprise-over the years, prime tickets have passed regular tickets, and value tickets are becoming less and less.
		The number of regular games has fallen from 45 in 2004 to 35 in 2005 and the number of prime games has increased from 28 to 40, just under 50 percent of all the Cubs' home games.
	www.chicagosportsreview.com /printer/article.asp?c=137710 (639 words)

	PRESS RELEASE Prime Dividend Corp.: Regular Monthly Dividend Declaration (Site not responding. Last check: 2007-10-05)
		Prime Dividend also declares its regular monthly distribution of $0.05625 (6.75% annualized) for each Preferred share which reflects the distribution policy of prime rate plus 0.75% annually.
		Distributions are payable August 10, 2006 to shareholders on record as of July 31, 2006.
		Since inception Class A shareholders have received a total of $0.75 per share and Preferred shareholders have received a total of $0.44 per share inclusive of this distribution, for a combined total of $1.19.
	www.marketwire.com /mw/release_html_b1?release_id=145607 (372 words)

	Welcome to NALIP
		Latino regular characters appear in just one of the eight series set in Los Angeles County, a region with a 45% Latino population.
		Latino regular characters are virtually absent from three of the networks (FOX, WB, UPN) and maintain extremely low visibility on CBS and NBC.
		The number of all minority regular characters increased slightly from 23 percent in fall 2002 to 25 percent in fall 2003.
	www.nalip.org /News/advocacy.htm (6150 words)

	Prime Dividend Corp.: Regular Monthly Dividend Declaration : ArriveNet Press Releases : Business (Site not responding. Last check: 2007-10-05)
		TORONTO, ONTARIO -- (Market Wire - May 18, 2006) -- Prime Dividend Corp. ("Prime Dividend") declares its regular monthly distribution of $0.09688 (7.75% annualized) for each Class A share which reflects the distribution policy of prime rate in Canada (5.75% as at May 15th) plus 2% annually.
		Prime Dividend also declares its regular monthly distribution of $0.05417 (6.50% annualized) for each Preferred share which reflects the distribution policy of prime rate
		Since inception Class A shareholders have received a total of $0.55 per share and Preferred shareholders have received a total of $0.33 per share inclusive of this distribution, for a combined total of $0.88.
	press.arrivenet.com /business/article.php/798390.html (441 words)

	Prime Rate Plus Corp. Regular Monthly Dividend Declaration : ArriveNet Press Releases : Business (Site not responding. Last check: 2007-10-05)
		TORONTO, ONTARIO -- (Market Wire - May 18, 2006) -- Prime Rate Plus Corp. ("Prime Plus") declares its regular monthly distribution of $0.09688 (7.75% annualized) for each Class A share which reflects the distribution policy of prime rate in Canada (5.75% as at May 15th) plus 2% annually.
		Prime Plus also declares its regular monthly distribution of $0.05417 (6.50% annualized) for each Preferred share which reflects the distribution policy of prime rate plus 0.75% annually.
		Distributions are payable June 9, 2006 to shareholders on record as of May 31, 2006.
	press.arrivenet.com /business/article.php/798392.html (448 words)

	Regular sized Prime Down Comforter
		Regular sized Down Comforter, 81"x 85" filled with 37 oz.
		of Prime Goose Down and covered with 100% Down proof Cotton Fabric with 357 thread count.The grade of DOWN is the most important element in a comforter.
		Our PRIME JACKET GRADE GOOSE DOWN has a loft factor of 700 and it is Hypoallergenic.
	www.angeldreams4u.com /site/1270022/product/36-003 (162 words)

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