Asked by Bruce
I’m number is called a perfect number if a equals the sum of all of its fantastic except itself for instants six is a perfect number because it matters are 1 to 3 and six and 1+2+3 = 6 what is the next greater perfect number
Answers
Answered by
Ms. Sue
Is this supposed to make sense?
"I’m number is called a perfect number if a equals the sum of all of its fantastic"
In the second line, do you mean "for instance"?
What is this? " because it matters"
"I’m number is called a perfect number if a equals the sum of all of its fantastic"
In the second line, do you mean "for instance"?
What is this? " because it matters"
Answered by
Reiny
Wow, what garbled language !!
Fortunately, I am guessing you are talking about perfect numbers.
As far back as Euclid it was know that if
if p is prime, then 2^p - 1 is a prime number, then
(2^p -1)(2^(p-1) ) is a perfect number.
e.g.
p = 2 ---->(2^2 - 1)(2^(2-1)) = 3(2) = 6 <-- your given
p = 3 --->(2^3 - 1)(2^(3-1) = 7(4) = 28
check: 1+2+4+7+14 = 28 <---- answer to your question
p = 5 ---> (2^5 - 1)(2^(5-1)) = 31(16) = 496
for fun , find the next one
btw, the ancient Greeks called numbers abundant, if the sum of the factors exceeded the number, and they called it deficient if the sum of the factors was less than the number itself.
No extra charge for the extra history lesson.
Fortunately, I am guessing you are talking about perfect numbers.
As far back as Euclid it was know that if
if p is prime, then 2^p - 1 is a prime number, then
(2^p -1)(2^(p-1) ) is a perfect number.
e.g.
p = 2 ---->(2^2 - 1)(2^(2-1)) = 3(2) = 6 <-- your given
p = 3 --->(2^3 - 1)(2^(3-1) = 7(4) = 28
check: 1+2+4+7+14 = 28 <---- answer to your question
p = 5 ---> (2^5 - 1)(2^(5-1)) = 31(16) = 496
for fun , find the next one
btw, the ancient Greeks called numbers abundant, if the sum of the factors exceeded the number, and they called it deficient if the sum of the factors was less than the number itself.
No extra charge for the extra history lesson.
Answered by
Ms. Sue
I wonder if Bruce will come back to see your knowledgeable answer and extra history lesson, Reiny.
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