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Topic: Prime quadruplet

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	Prime quadruplet - Wikipedia, the free encyclopedia
		All prime quadruplets except {5, 7, 11, 13} are of the form {30n + 11, 30n + 13, 30n + 17, 30n + 19} (this is necessary to avoid the prime factors 2, 3 and 5).
		The constant representing the sum of the reciprocals of all prime quadruplets, Brun's constant for prime quadruplets, is approximately 0.87058.
		The prime quadruplet {11, 13, 17, 19} appears on the Ishango bone, one of the oldest artifacts from a civilization that used mathematics.
	en.wikipedia.org /wiki/Prime_quadruplet (326 words)

	Brun's constant
		in stark opposite contrast to the fact that the sum of the reciprocals of all primes is divergent.
		A prime quadruplet is a pair of two twin prime pairs, separated by a distance of 4 (the smallest possible distance).
		The first prime quadruplets are (5, 7, 11, 13), (11, 13, 17, 19), (101, 103, 107, 109).
	www.ebroadcast.com.au /lookup/encyclopedia/br/Brun's_constant.html (265 words)

	Enumeration to 1.6*10^15 of the prime quadruplets
		Enumeration of the prime quadruplets (q, q+2, q+6, q+8), and the sum of their reciprocals, is extended to 1.6*10^15.
		In essence, the quadruplets are constructed from a proper subset of the twins.
		The most recent count of the prime quadruplets, and the corresponding values for S_4, and for B_4 and its error bound, are available on the page Prime constellations research project.
	www.trnicely.net /quads/quads.html (2715 words)

	Prime Curios!: 41
		A prime number of length 41 can be constructed by concatenating the exponents of the first consecutive Mersenne primes, separated by 0s.
		Note that the number of primes used is the reversal of 41.
		The smallest sexy prime quadruplet that is not part of a sexy prime quintuplet starts at 41.
	primes.utm.edu /curios/page.php/41.html (904 words)

	The Prime Glossary: prime k-tuplet (Site not responding. Last check: 2007-10-21)
		A prime k-tuple is a repeatable pattern of primes that are as close as possible together (will will be more precise in a moment).
		There is a pair of twin primes in every prime 3-tuple, and a prime 3-tuple in every prime 4-tuple (but not prime k-tuple in every prime (k+1)-tuple, 7-tuples do not include 6-tuples).
		For example, {97, 101, 103, 107, 109} satisfies the conditions of the definition of a prime 5-tuplet, but {3, 5, 7, 11, 13} doesn't because all three residues modulo 3 are represented.
	primes.utm.edu /glossary/page.php?sort=PrimeKTuplet (295 words)

	Prime Number Quadruplets 30 Apart, PNQ30, PIVCOM, 5TP39, Teapro
		Twin primes The simplest of these groups are called twin primes.They consist of two primes with a difference of 2, such as 11 and 13, or 29 and 31.
		The primes in each of these sets are separated by a composite number - one which is the product of two or more primes - which for want of a better name I call a pivotal composite, pivotal because it is the pivot of a symmetrical arrangement.
		All primes except 2 itself are odd numbers, and the two adjacent numbers can only be prime if the PIVCOM is divisible by three, since otherwise one of them would be a multiple of three.
	www.teapro.com /datpnq30.html (2199 words)

	prime_triplet (Site not responding. Last check: 2007-10-21)
		In mathematics, a prime triplet is a set of three prime numbers on the form (p, p+2, p+6) or (p, p+4, p+6).
		A prime triplet contains a pair of twin primes (p and p+2, or p+4 and p+6); a pair of cousin primes (p and p+4, or p+2 and p+6); and a pair of sexy primes (p and p+6).
		Similarly to the twin prime conjecture, it is conjectured that there are infinitely many prime triplets.
	www.myfasthomeequityloan.com /wiki/?title=Prime_triplet (211 words)

	Prime k-tuplets (Site not responding. Last check: 2007-10-21)
		All primes greater than 5 end in one of 1, 3, 7 or 9, and the four primes in a (large) quadruplet always occur in the same ten-block.
		A prime k-tuplet is a sequence of k consecutive prime numbers such that in some sense the difference between the first and the last is as small as possible.
		A prime k-tuplet is then defined as a sequence of consecutive primes {p1, p2,..., pk}such that for every prime q, not all the residues modulo q are represented by p1, p2,..., pk, and pk - p1 = s(k).
	www.ltkz.demon.co.uk /ktuplets.htm (5925 words)

	ZoomArticles.com - Science \| Primes: Randomness and Prime Twin Proof
		In the case of the prime number 3, we know that 3 is prime and that all (other) multiples of 3 are not prime.
		However, when we come to the prime number 5, 5 does not ADD to our knowledge that all multiples of 5 are not prime.
		For example 15 is a multiple of 5, but we already knew that this number was not prime because of the prime number 3.
	www.zoomarticles.com /Science/24709.asp (1619 words)

	Nepalnews.com (newsflash) Arc284)
		The only surviving quadruplet born to a 28-year-old mother died at Manipal Teaching Hospital in Pokhara Saturday at 4 PM, the hospital said.
		Talking to journalists in Biratnagar Saturday, NC president Koirala said that although it is the prerogative of the Prime Minister to have his team in the cabinet, a poor country like Nepal should not have such a big cabinet.
		Prime Minister Sher Bahadur Deuba recently increased the number of cabinet members to 41.
	www.nepalnews.com.np /archive/2001/october/arc284.htm (1543 words)

	The Largest Known Simultaneous Primes
		AP-k (k primes in arithmetic progression): Only allowed with difference k# or p# or q#, where p and q are the smallest primes above k.
		It should not be possible to compute a large set of primes and then find some subset of k numbers with something in common, or choose a function which runs through k already known primes.
		An AP search usually first computes a large set of primes and then tests for AP's by varying both one of the primes and the difference.
	hjem.get2net.dk /jka/math/simultprime.htm (1213 words)

	Puzzle 140. Primes Decades (Site not responding. Last check: 2007-10-21)
		Can any one of the primes of the first decade (D1) be the generator of the next prime decade (D2)?
		Is it possible to generate a prime decade (D1) that generates - by recursion of the same procedure - two prime decades more (D2, D3 such that, D1 -> D2 -> D3)?
		Then D2 is the set of numbers 100x+10q+1 100x+10q+3 100x+10q+7 100x+10q +9 where q is 1, 3, 7, 9, depending on which prime in D1 we chose to give D2.
	www.primepuzzles.net /puzzles/puzz_140.htm (611 words)

	Photography Articles Randoms and Prime (Site not responding. Last check: 2007-10-21)
		In English… The uniqueContribution a prime number (P(x)) gives us as to which numbers are not prime while building successive Pat(n)’s is a function of all odd multiples of P(x) such that the odd multiples have no primes less than P(x) in their prime factorizations
		Powers of a prime It turns out that powers of primes (greater than the first power) are unique contributions.
		On Randomness of Primes Measure of Randomness in a Binary Pattern Let’s define a measure of randomness (mr) for a binary pattern to be the number of smallest repeating units in the lowest reducible pattern.
	www.ads-freelance-photography.com /articles/art133.php (1639 words)

	My prime records
		Prime records I have a share in (parentheses means it is no longer the record).
		Prime with 101 titanic prime factors in p+1
		Primes on form k*[RSA-200]^512-1, only provable with factorization of RSA-200.
	hjem.get2net.dk /jka/math/myrecords.htm (355 words)

	The South End Newspaper - Mathematician reaches 100k milestone for online integer archive - NATION/WORLD - News (Site not responding. Last check: 2007-10-21)
		The left column read 11, 13, 17, 19, which is a prime quadruplet, and the right column read 11, 21, 19, 9.
		There are sequences in the OEIS that relate to physics — such as the centered cube numbers that relate to shells of atoms — biology and even music (such as 2, 2, 4, 4, 2, 6, 6, 2, 8, 8, 16, which is in the lyrics of an Argentine children’s song).
		Although Sloane acknowledges that all the “core” sequences — such as the prime numbers, Catalan numbers, and the Fibonacci sequence — are already in the database, he believes the OEIS has an infinite potential for expansion.
	www.southend.wayne.edu /modules/news/article.php?storyid=553 (1223 words)

	List of prime numbers - Wikipedia, the free encyclopedia
		This page contains a list of the first 1000 prime numbers and lists of prime numbers by specific categorizations.
		As of October 2006, these are the only known Stern primes, and possibly the only existing.
		As of September 2005, these are the only known Wilson primes.
	en.wikipedia.org /wiki/List_of_prime_numbers (1012 words)

	Thomas R. Nicely's Home Page
		An extensive table of pi_4(x), the count of prime quadruplets, with related functions, to 1.6e15.
		Furthermore, Knuth's gap of 1356 following the prime 401429925999153707 (discovered ~24 May 2006) is now confirmed as a first occurrence and maximal prime gap; and Knuth's gap of 1370 following the prime 418032645936712127 (discovered ~10 September 2006) is now confirmed as a first occurrence prime gap and the largest presently known maximal prime gap.
		See the page First occurrence prime gaps for a complete listing of all known first occurrence and maximal prime gaps; also, the addendum to the paper New maximal prime gaps and first occurrences for a further discussion of the new maximal prime gaps.
	www.trnicely.net /index.html (3334 words)

	Puzzle 100. Digital Prime k-tuplets (Site not responding. Last check: 2007-10-21)
		Not still a titanic one, here is an example of 313 digits large palindromic prime digital twin, found by C.
		The nice thing about this was the first number was of the form 10000....000001, a number which cut my proving time in half.
		The first was found after about 44.3 million tests, while the second was found after 45.2 million.
	www.primepuzzles.net /puzzles/puzz_100.htm (592 words)

	H1910
		King Hassan II was expected to pick a prime minister in consultation with the parties in Jan.
		James Nivettte was the prime suspect and was thought to have fled the country.
		Prime Minister Inder Kumar Gujral resigned and his United Front government fell after the Congress party withdrew its support.
	www.eleggua.com /History/1997F.html (15606 words)

	USATODAY.com - Authorities: Malnourished quadruplet dies (Site not responding. Last check: 2007-10-21)
		LANSDALE, Pa. (AP) — A 4-year-old quadruplet was found dead at a squalid suburban Philadelphia home, and his siblings, all apparently malnourished, were removed and put in foster care, authorities said.
		An autopsy found that malnutrition was a factor in the boy's death, but a final ruling won't be made until toxicology tests are analyzed, Montgomery County First Assistant District Attorney Risa Vetri Ferman said Friday.
		The remaining quadruplets — a girl and two boys — and a girl in her early teens were placed in foster homes, Ferman said.
	www.usatoday.com /news/nation/2003-06-06-quadruplet-dies_x.htm (375 words)

	Progress at the Vatican Advanced Technology Telescope
		A snout was attached to the center hub of the secondary mirror that contained a CCD spaced from the vertex precisely at the prime focus position.
		Due to extremely large field-dependent coma at the f/1.0 prime focus, the center of the field was readily identified.
		At a certain distance either inside or outside of this common focus, the m=0 interference fringe of one quadruplet of apertures overlaps the m= fringe of the adjacent interference pattern.
	medusa.as.arizona.edu /lbtwww/tech/vatt.htm (3251 words)

	Motivation Articles, Essays, Tips and Advice
		In addition to seeing them as wonderful parents devoted to their seven little girls, my attention was focused on the neo-natal nurses caring for the newborn quadruplets, weighing between a pound and a half to two and a half pounds.
		Prime time is that period between 6 and 10 p.m.
		Commercials in prime time are the most expensive, approaching a million dollars per minute.
	www.getmotivation.com /archive/2006_06_01_archive.html (5507 words)

	The Science Creative Quarterly » 2005 » October
		The loss of bony armor in sticklebacks is a prime example of evolution in action.
		The use of an expanded genetic code with a quadruplet codon as a means of adding unnatural amino acids by-passes these restrictions.
		For the tRNA to read the AGGA quadruplet codon, the sequence of the anticodon loop was changed to the complimentary UCCU sequence.
	www.scq.ubc.ca /?m=200510 (6932 words)

	www.primzahlsuche.de (Site not responding. Last check: 2007-10-21)
		A young man from Halle on the Saale (Germany) has calculated and evaluated all prime numbers in several years of work up to 100 million.
		Nowadays larger prime numbers are looked after always.
		However a prime table find you nowhere (except for a couple of small prime numbers in appropriate panel works).
	www.primzahlsuche.de /index-e.html (199 words)

	Stern prime - Avoo - Ask Us A Question - A Stern prime, named for Moritz Abraham Stern, is a prime number that is not ... (Site not responding. Last check: 2007-10-21)
		Stern prime - Avoo - Ask Us A Question - A Stern prime, named for Moritz Abraham Stern, is a prime number that is not the sum of a smaller prime and twice the square of a nonzero integer
		And if that prime is the largest of a prime quadruplet, p + 8, then p + 2(2
		Because in Stern's time, 1 was considered a prime, 3 was not a Stern prime because it could be represented as 1 + 2(1
	yigo.guamus.com /section/Stern_prime (532 words)

	Takahashi FSQ-106N 106MM F/5 "Quadruplet Fluorite Apochromatic Refractor" - Review
		And that is where the problem arose, as one of the two top-of-the-line triplets available for comparison to the Tak quadruplet had the 'unfair advantage' of that classic f/8 focal ratio while the other was nearly as fast as the Tak.
		With one or the other of the two triplets on the far side of the Giro-2 facing the Tak, some things were nearly identical, and some were quickly seen to be different.
		The AP is also very good, but 'warmer' in tone and not quite as 'stark' in its definition, particularly on a full and bright lunar disk than the Tak quadruplet.
	www.cloudynights.com /item.php?item_id=747 (5694 words)

	Pythagorean Triplets, Triples
		The odd p and q are given on blue in the left columns, then the triplet in the middle columns on gray, and the odd/even p and q on green in the right columns.
		Thus, with Pythagorean "quadruplets" and "quintuplets," we have integer solutions to the three and four dimensional versions of the Pythagorean Theorem.
		These prime numbers all have the noteworthy feature that they are not prime if we take into account complex factors.
	www.friesian.com /pythag.htm (3707 words)

	Articles index started with pr (Site not responding. Last check: 2007-10-21)
		Prime Minister of Saint Vincent and the Grenadines
		Prime minister of the People's Republic of China
		Prime Minister of the U.K. Prime minister of the United Arab Emirates
	www.kiwipedia.com /en/pr-index.html (202 words)

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