Unformatted text preview: consecutive locations that have a sum greater than or equal to 17. 53. a) Prove or disprove: If a and b are rational numbers, then a b is also rational. b) Construct a direct proof for the following: If 6 x + 9 y = 101 then x and y are not both integers. c) A perfect number is one which is the sum of all its divisors except itself. For example, 6 is perfect since 1 + 2 + 3 = 6. So is 28. Construct an indirect proof for the following: A perfect number is not a prime. 2Oct2010, 12:59 pm...
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 Fall '10
 Ford
 Computer Science, Prime number, perfect number, Computer Science & Software Engineering

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