Home  Theorems_And_Conjectures  Perfect And Prime Numbers 
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Perfect And Prime Numbers: more detail  

1. PerfectKey Prime numbers (blue background). Perfect numbers (yellow background). Continue thesequences indefinitely in the chart to reveal all perfect and prime numbers. http://www.borderschess.org/PerfectKey.htm  

2. Large Prime Numbers Mersenne primes. The new perfect number generated with the new Mersenneprime is the 34th known perfect number and has 757,263 digits. http://www.isthe.com/chongo/tech/math/prime/prime_press.html  

3. A Prime Way To Find Perfect Numbers SINE WAVE. A prime Way to Find perfect numbers. return. prime numbers are numbers that cannot be expressed as the product of 2 whole numbers, other than 1 and the number itself. is 28 (1+2+4+7+14=28). These are called perfect numbers and they are very rare is an interesting relationship between even perfect numbers and certain prime numbers http://users.andara.com/~brsears/primperf.htm  

4. Perfect, Amicable And Sociable Numbers perfect, amicable and sociable numbers. ( how to have fun perfect numbers, and, apart from 1 and 2, no augmented modified exponential perfect numbers. Also, any prime factor of http://xraysgi.ims.uconn.edu:8080/amicable.html  

5. Mersenne Primes: History, Theorems And Lists We know that all even perfect numbers are a Mersenne prime times a powerof two (theorem one above), but what about odd perfect numbers? http://www.utm.edu/research/primes/mersenne/  

6. Mersenne Primes: History, Theorems And Lists The definitive pages on the Mersenne primes and the related mathematics! We know that all even perfect numbers are a Mersenne prime times a power of two (theorem one above), but what about odd perfect numbers? If there is one http://www.utm.edu/research/primes/mersenne.shtml  

7. Prime Numbers Euclid also showed that if the number 2 n 1 is prime then the number2 n1 (2 n  1) is a perfect number. The mathematician Euler http://wwwgap.dcs.stand.ac.uk/~history/HistTopics/Prime_numbers.html  

8. The Prime Glossary: Perfect Number Welcome to the prime Glossary a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'perfect number.' Come explore a new prime term http://www.utm.edu/research/primes/glossary/PerfectNumber.html  

9. Perfect Numbers 11 12 13 1 3 7 15 31 63 127 255 511 1023 2047 4095 8191 let them be called the radicalsof perfect numbers, since whenever they are prime, they produce them. http://wwwgap.dcs.stand.ac.uk/~history/HistTopics/Perfect_numbers.html  

10. "Computing Perfect(prime) Numbers" By SAMIEL@FASTLANE.NET perfect numbers A perfect number is a number whose divisors not including the original number add up to where p is prime and 2^p1 is prime, so 2^2 http://www.bsdg.org/swag/MATH/0108.PAS.html  

11. ONJava.com: Web Services And The Search For Really Big Prime Numbers [Aug. 29, 2 Web services should open up new avenues of computing. Such as? This article shows how Web services are an ideal model for computing Mersenne prime numbers, some of the largest primes yet prime numbers, Mersenne numbers, Mersenne prime numbers, and perfect numbers. A prime number Also, a relationship between prime numbers and perfect numbers has been known http://www.onjava.com/pub/a/onjava/2002/08/28/wsdc.html  

12. SS > Factoids > Perfect Number is prime then 2 perfect. Euler all even perfect numbers are of the form 2(p1)(2p1), where 2p1 is a Mersenne prime ( and so p is prime http://public.logica.com/~stepneys/cyc/p/perfect.htm  

13. The Prime Glossary: Multiply Perfect Welcome to the prime Glossary a collection of definitions, information and facts all related to prime numbers. This pages contains the entry titled 'multiply perfect.' Come explore a new prime http://primes.utm.edu/glossary/page.php?sort=MultiplyPerfect 
14. Landon Curt Noll's Prime Pages Landon Curt Noll Landon Curt Noll s picture. prime numbers, Mersenneprimes, perfect numbers, etc. Mersenne prime Digits and Names http://www.isthe.com/chongo/tech/math/prime/  

15. Math Forum  Ask Dr. Math Archives: Elementary Prime Numbers and why are they prime numbers? prime numbers vs. prime Factors perfect numbers Basics, History 11/3/1996 What is the next perfect number after 28? prime and Composite numbers http://mathforum.com/library/drmath/sets/elem_prime_numbers.html  

16. Math Forum  Ask Dr. Math Archives: Elementary Prime Numbers perfect numbers Basics, History 11/3/1996 What is the next perfect number after28? prime and Composite numbers, Sieve of Eratosthenes 01/28/1997 I need http://mathforum.org/library/drmath/sets/elem_prime_numbers.html  

17. Computing Perfect(prime) Numbers 28=14*7*4*2*1=14+7+4+2+1. The definition of a perfect number can also be definedas, 2^(p1)*(2^p1) where p is prime and 2^p1 is a Mersenne prime http://atlas.csd.net/~cgadd/knowbase/MATH0108.HTM 
18. Trailpost 2: Properties Of Prime Numbers Mersenne primes and perfect numbers. You can find perfect numbers by using theformula (2 n 1) * 2 n1 , where n in 2 n  1 makes a Mersenne prime. http://www.cs.usask.ca/resources/tutorials/csconcepts/1999_7/tutorial/trail/tp02  

19. Ancient Greek Number Theory And Prime Numbers was able to find that each of these numbers is of the form 2 n1 (2 n 1), where2 n 1 is prime. Euclid proved that all numbers of this form were perfect. http://www.mlahanas.de/Greeks/Primes.htm  

20. Mathematics Enrichment Workshop: The Perfect Number Journey Beginning with the number 1, and keep adding the powers of 2 (ie doubling the numbers),until you get a sum which is a prime number. A perfect number is then http://home1.pacific.net.sg/~novelway/MEW2/lesson1.html  

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