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Topic: List of prime numbers

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	Print Prime Numbers
		A sieve was used to generate a list of prime numbers.
		Prime numbers as a sequence of integers at www.research.att.com.
		This new number is not divisible by any of the primes that were multiplied together, therefore it is either a prime itself, or it is a product of a prime larger than the one we earlier assumed to be the largest prime.
	www.rsok.com /~jrm/printprimes.html (1228 words)

	List of prime numbers - ExampleProblems.com
		This page contains a list of the first 500 prime numbers and lists of prime numbers by specific categorizations.
		Listed below are the first eleven, as they get very large very quickly.
		Interface to a list of the first 98 million primes (primes less than 2,000,000,000)
	www.exampleproblems.com /wiki/index.php/List_of_prime_numbers (1003 words)

	The Largest Known Primes
		For example, the prime divisors of 10 are 2 and 5; and the first six primes are 2, 3, 5, 7, 11 and 13.
		The problem of distinguishing prime numbers from composite numbers and of resolving the latter into their prime factors is known to be one of the most important and useful in arithmetic.
		Because the way the largest numbers N are proven prime is based on the factorizations of either N+1 or N-1, and for Mersennes the factorization of N+1 is as trivial as possible (a power of two).
	primes.utm.edu /largest.html (1152 words)

	The Mathematical Tourist
		The study of prime numbers is one of the few areas still left in mathematics in which the concepts, questions and experiments are still simple enough to intrigue both amateur and professional mathematicians.
		The number 333333331 is a composite with factors 17 and 19607843.
		Statistical evidence suggests that there are infinitely many twin primes, and mathematicians have estimated that in the range close to the number n, the average distance between one pair of twin primes and the next is close to the square of the natural logarithm of n.
	www.fortunecity.com /emachines/e11/86/tourist2b.html (2578 words)

	PlanetMath: good hash table primes
		In the course of designing a good hashing configuration, it is helpful to have a list of prime numbers for the hash table size.
		The columns are, in order, the lower bounding power of two, the upper bounding power of two, the relative deviation (in percent) of the prime number from the optimal middle of the first two, and finally the prime itself.
		This is version 6 of good hash table primes, born on 2002-08-21, modified 2004-02-24.
	planetmath.org /encyclopedia/GoodHashTablePrimes.html (225 words)

	Prime number
		Browse the prime numbers from this number to upper.
		You can also send the prime number list in plain text format to your own email box by provide the number range and your email box below.
		The beginning of the the request range, must be number.
	www.prime-numbers.org (100 words)

	FP Article Index
		Prime Numbers: The Diaper Diaspora By Peter Selman
		Prime Numbers: The Sky’s the Limit By Maria Sicola
		Prime Numbers: The Influential Tourist By Sylvia A. Allegretto, L. Josh Bivens
	www.foreignpolicy.com /resources/directory.php (1572 words)

	The Prime Database: The List of Largest Known Primes Home Page
		Here we keep the list of the 5000 largest known primes, updated hourly (hundreds of new primes are submitted every month).
		We are the world's primary source to the current prime number records.
		Note: these are the largest known primes--so they are very big (most have tens of thousands of digits!) If you want smaller primes, say the first ten thousand primes or first hundred million primes, see the lists available from the Prime Links++ pages.
	primes.utm.edu /primes (0 words)

	» List Of Prime Numbers To 400 (Site not responding. Last check: )
		A long list with distinctive properties of natural numbers up to 9999.
		A comprehensive list of first occurrence and maximal prime gaps..
		All the prime factors of the Reversed Smarandache Concatenated
	rarita-schwingerequation.info /info/List-Of-Prime-Numbers-To-400 (205 words)

	Prime numbers (Site not responding. Last check: )
		For example, the prime divisors of 10 are 2 and 5, and the first six primes are 2, 3, 5, 7, 11, and 13.
		p_n be the sequence of all prime numbers.
		Since k is a prime factor of m, it can't be in the sequence, but we stated that the sequence contains all prime numbers.
	www.math.utoledo.edu /~dbastos/primes.html (471 words)

	Prime Cuts
		) defines the C2 prime* numbers to be printed from the center of the list if the length of the list is even; or the (C2)-1 numbers* to be printed from the center of the list if the length of the list is odd.
		If the size of the center list exceeds the limits of the list of prime numbers between 1 and N, the list of prime numbers between 1 and N (inclusive) should be printed.
		Each number from the center of the list should be preceded by exactly one blank.
	acm.uva.es /p/v4/406.html (284 words)

	Prime Numbers
		Prime Numbers - A prime number is a whole number that only has two factors which are itself and one.
		The following table shows that the prime numbers (in blue cells) occur in diagonal lines except for a few which are by themselves.
		Another interesting fact about prime numbers is the formula developed by Leonhard Euler that produces a list of prime numbers.
	arcytech.org /java/integers/prime.html (244 words)

	Notes and Literature on Prime Numbers (Site not responding. Last check: )
		A prime number is a natural number greater than 1 that can be divided evenly only by 1 and itself.
		A standard textbook of Number Theory, intended for use in a first course in Number Theory, at the upper undergraduate or beginning graduate level is: I. Niven, H.S. Zuckerman, H.L. Montgomery, An Introduction to the Theory of Numbers, 5th edition, Wiley, 1991.
		A major application of number theory and prime numbers is in cryptography.
	www.math.utah.edu /~alfeld/math/prime.html (321 words)

	Prime Territory
		Primes appear to be the building blocks of multiplication—you can express all positive integers as a unique set of primes factors—but there is not a simple equation to generate a list of primes, nor is there a simple way to determine if any given number is prime.
		Not only are primes good for play, it turns out that prime numbers are extremely important in the area of cryptography.
		This sieve lists numbers in sets of six or twelve so that it is easy to remove common multiples.
	descmath.com /prime (878 words)

	Prime Numbers
		Prime Numbers - A prime number is a whole number that only has two factors which are itself and one.
		The following table shows that the prime numbers (in blue cells) occur in diagonal lines except for a few which are by themselves.
		Another interesting fact about prime numbers is the formula developed by Leonhard Euler that produces a list of prime numbers.
	www.arcytech.org /java/integers/prime.html (244 words)

	Math Forum - Ask Dr. Math Archives: Middle School Prime Numbers (Site not responding. Last check: )
		Is the number one a prime or a composite number?
		Prime and Composite Numbers, Sieve of Eratosthenes [01/28/1997]
		Prime Numbers and the Sieve of Eratosthenes [10/20/2003]
	mathforum.org /library/drmath/sets/mid_prime_numbers.html (607 words)

	Prime Numbers -- from Eric Weisstein's Encyclopedia of Scientific Books
		List of Prime Numbers from 1 to 10,006,721.
		Narkiewicz, W. The Development of Prime Number Theory: From Euclid to Hardy and Littlewood.
		Prime Numbers and Computer Methods for Factorization, 2nd ed.
	www.ericweisstein.com /encyclopedias/books/PrimeNumbers.html (145 words)

	Factoring - Factors and multiples - In Depth (Site not responding. Last check: )
		A prime number has only two factors, one and itself, so it cannot be divided evenly by any other numbers.
		To find the prime factors of a number, you divide the number by the smallest possible prime number and work up the list of prime numbers until the result is itself a prime number.
		Here are the prime factors of the composite numbers between 1 and 20.
	www.math.com /school/subject1/lessons/S1U3L1DP.html (346 words)

	Sieve of Eratosthenes Summary (Site not responding. Last check: )
		For example, the prime divisors of 100 are 2 and 5, and the prime divisors of 97892641 are 7, 11 and 181619.
		Hence the numbers that have not been crossed out are exactly the prime numbers greater than 10 and less than or equal to 100.
		Write this number into List B. Strike off this number and all multiples of this number from List A. The crossing-off of multiples can be started at the square of the number, as lower multiples have already been crossed out in previous steps.
	www.bookrags.com /Sieve_of_Eratosthenes (917 words)

	Ivars Peterson's MathTrek - Prime Spirals
		To find the 99th prime, all you can do is make an ordered list of prime numbers and count to the 99th.
		In one striking example (see http://www.lactamme.polytechnique.fr/Mosaic/images/PRIM.51.0100.D/display.html), by Jean-François Colonna, integers are shown as spheres on a square grid, where the radius and color of the sphere is related to the square root of the number of divisors (primes are white and have the smallest radius).
		Illustrations of prime spirals and other representations of the distribution of prime numbers can be found at http://www.cs.unh.edu/~charpov/Programming/PostScript-primes/, http://platon.lacitec.on.ca/~dmorin/applet/village/, and http://yoyo.cc.monash.edu.au/~bunyip/primes/.
	www.maa.org /mathland/mathtrek_05_06_02.html (1040 words)

	Prime Numbers
		A lot of prime numbers are made up of the digits 0 and 1 only.
		The first task is to list all the possible combinations of 0s and 1s.
		Some are easy to cross out as not being prime number from their last digit.
	www.bwctc.northants.sch.uk /html/master/maths/autumn99/primech.htm (354 words)

	Prime and Composite Numbers
		A prime number is a whole number that only has two factors which are itself and one.
		The numbers 0 and 1 are neither prime nor composite.
		The prime numbers between 2 and 100 are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97,
	www.aaamath.com /fra63a-primecomp.html (144 words)

	Eratosthenes
		A prime number is a natural number greater than 1 that can be divided without remainder only by itself and by 1.
		That means it is not a prime number (since it is a multiple of 2).
		Overwriting the number in the text field will cause the next largest prime to be displayed (within the range of primes found by the sieve).
	www.math.utah.edu /~alfeld/Eratosthenes.html (1967 words)

	Math Is Fun Forum / Strange Prime number pattern
		I noticed this in 1993 but the numbers I was working in had to stay in the tens of thousands and thus my hunch had no "proof".
		Since all numbers are even,optionally divide all numbers by two to collapse the resulting shape of negative empty areas.
		There's a theorem, stating that for every number k, there exists infinity couples of consecutive prime numbers, such that the gap between them is greater or equal to k.
	www.mathsisfun.com /forum/viewtopic.php?pid=54930 (2243 words)

	Prime numbers
		The number 18 is composite; it is composed of 2×3×3.
		One way to generate prime numbers is to test each number to see if it can be factored by all of the odd numbers up to the square root of the number being tested.
		It is not necessary to test above the square root of the number since all other combinations of factors would include one number larger than the square root, and one smaller.
	home.att.net /~srschmitt/script_prime_numbers.html (222 words)

	prime numbers
		The prime numbers from 2 to 100 should be memorized.
		Questions involving prime numbers could ask for one specific prime number greater thanor less than another number, or how many primes are within a specific range.
		Knowing all the primes in the 10s (11, 13, 17, 19), there are 4 prime numbers from 10 to 20.
	www.algebra-online.com /prime-numbers-1.htm (214 words)

	Counting Primes (Site not responding. Last check: )
		To prove that there are infinitely many primes, we would either have to write down a general formula that could be used to produce infinitely many different primes, or else we would have to proceed by a more indirect method.
		If there are infinitely many, then any finite list must be inadequate---in the very precise sense that some prime exists that is not on the list.
		That is, we should start with a list of primes, which purports to be complete, and somehow use the list to produce another prime.
	odin.mdacc.tmc.edu /~krc/numbers/countprime.html (447 words)

	The Math Forum - Math Library - Prime Numbers (Site not responding. Last check: )
		Hunt for prime numbers (or the largest prime factor in a composite number) from a board with a random layout of digits.
		Navigate mazes of binary numbers determined by the distribution of the prime numbers.
		Prime twins are prime numbers that are two numbers apart.
	mathforum.org /library/topics/prime_numbers/?keyid=22123807&start_at=101&num_to_see=50 (1942 words)

	Prime Numbers
		Numbers that are not prime are called composite numbers.
		The smallest prime number, which happens to be the only even prime number, is 2.
		The prime numbers from 2 to 100 are listed below and should all be memorized.
	sky.prohosting.com /numsense/Basic_Memorization/Prime.htm (96 words)

	Puzzle 8.- Primes by Listing
		A "number by listing" is simple a string composed by a list of certain numbers.
		N=2468101214161820 is the number composed by all the even numbers from 2 to 20.
		So, about this number there is no doubt that it was discovered independently by Eric and by Yves the same year, 1998, but while Eric got it the spring Yves got it at the end of the year.
	www.primepuzzles.net /puzzles/puzz_008.htm (832 words)

	Halfbakery: Prime Candidates
		When wanting to generate a list of prime numbers (which are only perfectly divisible by themselves and One), you start by creating a "candidate", which you then apply various tests to determine whether or not it is prime.
		Note that the Prime number 2 is NOT produced by the algorithm -- but this is because 2 is incorporated into M. The special multiplier M will always be the product of all the Prime numbers that we are working with, in a particular Scenario.
		People who play will prime numbers will undoubtedly notice the similiarity to a very well-known fact, that every prime greater than 3 has the form 6X+1 or 6X-1 (where X is 1 or more).
	www.halfbakery.com /idea/Prime_20Candidates (1602 words)

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