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Perfect And Prime Numbers: more detail | |||||||
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21. Least Primitive Root Of Prime Numbers If p is an odd prime number then r is a primitive root of p if and only if be the smallest prime number q for which g(q)=n, with n not a perfect power, http://www.ieeta.pt/~tos/p-roots.html | |
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22. SQL And The Search For Prime And Perfect Numbers in reference to writing SQL statements to find prime perfect numbers.After a bit of clarification, (primes perfect numbers less than 1 million) http://weblogs.sqlteam.com/davidm/archive/2003/10/30/412.aspx | |
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23. Perfect Number: Definition And Much More From Answers.com perfect number n. A positive integer that is equal to the sum of its positiveintegral prime numbers of the form 2n 1 are known as Mersenne primes, http://www.answers.com/topic/perfect-number | |
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24. Ivars Peterson's MathTrek - Cubes Of Perfection Hence, every Mersenne prime automatically leads to a new perfect number. An introduction to Mersenne primes and perfect numbers can be found at http://www.maa.org/mathland/mathtrek_5_18_98.html | |
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25. ONJava.com: Web Services And The Search For Really Big Prime Numbers Mersenne prime. From the Euler theorem on perfect numbers above, An oddperfect number must contain at least eight different prime factors. http://www.onjava.com/pub/a/onjava/2002/08/28/wsdc.html?page=2 |
26. ONJava.com: Web Services And The Search For Really Big Prime Numbers Also, a relationship between prime numbers and perfect numbers has been known since In plain language, an even perfect number has a Mersenne prime http://www.onjava.com/pub/a/onjava/2002/08/28/wsdc.html |
27. Perfect Numbers number is prime, and so the largest known prime is often a Mersenne prime.Here are the 37 known Mersenne primes and perfect numbers (from MathWorld) http://www.jimloy.com/number/perfect0.htm | |
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28. Landon Curt Noll's Prime Pages Landon Curt Noll s prime number and large prime pages. prime numbers, Mersenneprimes, perfect numbers, etc. Mersenne prime Digits and Names English http://www.isthe.com/chongo/tech/math/prime/ | |
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29. SAVEgateway Document Delivery perfect numbers and what later came to be called Mersenne primes date actuallyback to the legendary Greek mathematician, Euclid, said Carl Pomerance, http://www.isthe.com/chongo/tech/math/prime/mercnews.html | |
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30. Mathematics Archives - Numbers Includes information on various topics as perfect numbers, prime numbers,Pythagorean triples, pi, and Fermat s Last Theorem. The PI Page http://archives.math.utk.edu/subjects/numbers.html | |
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31. Straight Dope Staff Report: What's The Story On Perfect Numbers? Also, given a Mersenne prime, applying the formula will always give a perfectnumber. That is, Mersenne primes and even perfect numbers go hand in hand. http://www.straightdope.com/mailbag/mperfectnumbers.html | |
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32. AoPS Math Forum :: View Topic - A Difficult Problem With Prime Numbers Let p,q,r,a natural numbers with pq=ra^2 r is a prime number and (p,q)=1 prime number p such that the number p\left(2^{p+1}1\right) is a perfect square http://www.artofproblemsolving.com/Forum/topic-46098.html | |
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33. Resources An integer is perfect if it equals the sum of its divisors (excluding itself).Read about the connection between perfect numbers and Mersenne primes. http://www.teachers.ash.org.au/mikemath/resources/prime.html | |
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34. Integers As Prime Or Composite perfect numbers and Mersenne Primes; Cardinal vs. Whenever another mersenneprime is found, another perfect number is generated. http://www2.andrews.edu/~calkins/math/webtexts/numb03.htm | |
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35. Mersenne Primer Mersenne primes and perfect numbers. A perfect number is a number that is equalto the sum of its factors, provided you count 1 as a factor but not the http://www.sheeplechasers.org/prime/mersenne.htm | |
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36. What's A Number? 5 is a prime number (it has no other divisors but itself and 1). Quite rigorously.QED. It is obvious that all Euclid s perfect numbers are triangular. http://www.cut-the-knot.com/do_you_know/numbers.shtml | |
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37. Gnist.no A fascinating look at the math and mystique of prime numbers prime numbers patents on prime numbers; Pepin s test for Fermat numbers; perfect numbers; http://www.gnist.no/vare.php?ean=9780471462347 |
38. LESSON PLANET - 30,000 Lessons And 2815 Lesson Plans For Prime Numbers prime Number or Composite Number? Students practice determining if a number is perfect numbers - Students learn about proper factors, perfect numbers, http://www.lessonplanet.com/search/Math/Prime_Numbers?startval=20 |
39. Prime Numbers Introduction A Prime Number Is An Integer That Has perfect Squares, Modulo 4, and the Two Types of primes A pair of SophieGermain primes is a set of two prime numbers p and 2p+1. p can be either 1 (mod http://www.albanyconsort.com/primes/primes.html | |
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40. Identifying Perfect Numbers Prerequisite vocabulary factors, prime numbers, divisibility rules, and powers.On the overhead or whiteboard, write down the first perfect number (six). http://www.microsoft.com/Education/IdentifyingPerfectNumbers.aspx | |
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