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3-33), the precise statement that all even perfect numbers are of this form was first considered in a 1638 letter from Descartes to Mersenne (Dickson 2005, ...
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Perfect number - Wikipedia, the free encyclopedia
In mathematics, a perfect number is defined as a positive integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors excluding the number itself. Equivalentl...
en.wikipedia.org/wiki/Perfect_number |
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She gave me a short list of the first seven consecutive perfect numbers, and after examining the prime factorization of these numbers, I soon found a formula that could produce each perfect number on the list.
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and the first g-perfect numbers with g(n) = n - 1 are ... to get the prime factorizations of the first seven perfect numbers yields ... Nevertheless, most people will agree that there should be relatively few f-perfect numbers. Preferably, the first few f-perfect numbers should share some striking property or pattern,
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AskKids is where you'll learn more information about First Seven Perfect Numbers. Click here to give us a try ... Ibn Fallus gave, in his treatise, a table of ten numbers which were claimed to be perfect, the first seven are correct and are in fact the first seven perfect numbers, the remaining three numbers are incorrect.
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You may have also noticed that the perfect numbers listed above (6, 28, 496, 8128) all end with either the digit 6 or the digit 8--this is also very easy to prove (but no, they do not continue to alternate 6, 8, 6, 8,...). If you like that digit pattern, look at the first four perfect numbers in binary:
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Thus the first seven perfect numbers were known at this time. Bungus and others earlier do not seem deserving of credit in this connection since their statements appear to be guess-work. Mersenne stated the eighth perfect number correctly, but it took an Euler to give the proof.
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