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1. » Techangel Forums - Powered By XMB 1.8
» techangel forums » programming » perfect and prime numbers, AuthorSubject perfect and prime numbers. mrplow Administrator
http://www.techangel.co.uk/forums/viewthread.php?tid=768

2. Multiply Perfect Numbers
Contributor SAMIEL@FASTLANE.NET { Samiel (samiel@fastlane.net) wrote Here's my fast and elegant code snarf it and add it to SWAG perfect numbers
http://www.uni-bielefeld.de/~achim/mpn.html

3. Prime Numbers
Historical topics about prime numbers.Category Science Math Number Theory prime numbers 1 is prime then the number 2 n1 (2 n - 1) is a perfect number. The mathematicianEuler (much later in 1747) was able to show that all even perfect numbers are
http://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html

4. 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://www-gap.dcs.st-and.ac.uk/~history/HistTopics/Perfect_numbers.html

5. Prime Numbers - History Topics
Check out a resource which dedicates itself to the historical aspects of prime number calculation and discovery. Authors include recommended reading. prime then the number 2n1(2n - 1) is a perfect number. The mathematician Euler (much later in 1747) was able to show that all even perfect numbers
http://www-groups.dcs.st-and.ac.uk/~history/HistTopics/Prime_numbers.html

6. 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

7. Perfect, Amicable, And Sociable Numbers
Resource explains "how to have fun summing up divisors" and includes an introduction to perfect, amicable, and sociable numbers and Aliquot sequences. If 2p1 is prime, then 2p-1(2p-1) is even and perfect, and conversely, all even perfect numbers have this form.
http://xraysgi.ims.uconn.edu:8080/amicable.html

8. Perfect Security - Prime Numbers
prime numbers, Definition. A number is called prime, if andonly if its only positive divisors are itself and one.
http://www.perfect-security.net/en/prime.html

9. 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 today! out that for 2k1 to be prime, k must also be primeso the search for perfect numbers is the same as the search for
http://www.utm.edu/research/primes/glossary/PerfectNumber.html

10. 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/

11. Perfect Security - Prime Numbers
Naohiro Nomoto Home Page 12 nice sequences A037160 A037159 A060448 A048055 A038528 A038527 A037201 A037264 A058524 A059998 A058241 A060030 William Nelles (wnelles@flashmail.com) A057720 ( Decimal expansion of muonto-electron mass ratio. )
http://www.onetimepad.net/en/prime.html

12. The Prime Glossary: Perfect Number
prime Glossary a collection of definitions, information and facts all related toprime numbers. This pages contains the entry titled 'perfect number.' Come
http://primes.utm.edu/glossary/page.php?sort=PerfectNumber

13. Computing Perfect(prime) Numbers
{* perfectnumbers The definition of a perfect number can where p is prime and 2^p
http://www.piclist.com/techref/language/delphi/swag/MATH0108.html

14. Prime Numbers
1) x 2 is the world's largest known perfect number at and so records for the highestknown prime can go For more facts about numbers get the book numbers Facts
http://www.nottingham.ac.uk/education/number/gl/prime.html

15. Mathematics Enrichment Workshop: The Perfect Number Journey
A Mathematics Enrichment Workshop introducing perfect numbers. Lessons and exercises extend over several Category Science Math Number Theory Factoring perfect numbers 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://home.pacific.net.sg/~novelway/MEW2/lesson1.html

16. 35th Mersenne Prime Discovered
Mersenne prime. Not all Mersenne numbers between the 31st and 35th have been checked.There is a wellknown formula that generates a perfect number from a
http://www.mersenne.org/1398269.htm

17. 38th Mersenne Prime Discovered
Second is to further research in prime numbers and computer algorithms. is a wellknownformula that generates a perfect number from a Mersenne prime.
http://www.mersenne.org/6972593.htm

18. Least Primitive Root Of Prime Numbers
Empirical and statistical results showing the smallest base required to prove a number is prime. Includes Category Science Math Number Theory prime numbers Primality Tests p. It is not difficult to verify that g(p) cannot be a perfect power. mentioned above,when the bases r_k used in this test are restricted to be prime numbers.
http://www.ieeta.pt/~tos/p-roots.html

19. Factoids > Mersenne Prime
and n are natural numbers, with n greater than 1, and if m n 1 is prime, then mis 2 and n is prime. Each Mersenne prime corresponds to an even perfect number
http://www-users.cs.york.ac.uk/~susan/cyc/m/mersenne.htm

20. ONJava.com: Web Services And The Search For Really Big Prime Numbers [Aug. 29, 2
Also, a relationship between prime numbers and perfect numbers has been known sinceantiquity and was formulated by Euclid in the following theorem If 2 k 1
http://www.onjava.com/pub/a/onjava/2002/08/28/wsdc.html

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