Fourth Highest Perfect NumberDate: 08/21/97 at 21:39:42 From: Daryl Livasy Subject: Fourth highest perfect number What is the fourth (4th) highest perfect number? Date: 08/22/97 at 15:21:39 From: Doctor Wilkinson Subject: Re: Fourth highest perfect number The even perfect numbers are all of the form 2^(p-1) * (2^p - 1), where p is a prime. It is not known whether there are any odd perfect numbers, but there are certainly no small ones. So the fourth perfect number is obtained by substituting the fourth prime for p in the above formula. The fourth prime is 7, so the fourth perfect number is 2^6 * (2^7 - 1) = 64 * 127 = 8128 -Doctor Wilkinson, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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