Some useful Sites for the investigation of Perfect Numbers and related topics:

• http://www-history.mcs.st-and.ac.uk/history/HistTopics/Perfect_numbers.html This is a page devoted to Perfect Numbers and their history (from our local St Andrews University)
• http://xraysgi.ims.uconn.edu:8080/amicable.html This is an article headed "Perfect, amicable and sociable numbers (how to have fun summing up divisors)". An excellent database of information on aliquot sequences if you can understand it !
• http://home1.pacific.net.sg/~novelway/MEW2/lesson1.html Lessons entitled "The Perfect Number Journey". These lessons are excellent for learning abour perfect numbers, their history and various properties.
• http://www.utm.edu/research/primes/notes/3021377/ (this gives background on the largest known Mersenne Prime and hence the largest known Perfect number)
• http://www.astro.virginia.edu/~eww6n/math/AmicablePair.html (A feast of information on amicable pairs and related topics. This is from Eric's Treasure Trove of Mathematics.)
• http://www.utm.edu/research/primes/glossary/PerfectNumber.html ( Information on Perfect Numbers )
• http://www.imsa.edu/edu/math/journal/volume3/webver/amicable.html ( Article on Amicable numbers with some unanswered questions )
• http://www.utm.edu/research/primes/mersenne.shtml ( The History of Mersenne primes along with a comprehensive list of the largest known Perfect Numbers throughout history may be found here )

Let us know if you find other Sites on the Web that you think may be useful to others investigating this topic. We will assess them and add them to this collection.

E-Mail us at: madrascollege.maths@fife.gov.uk