#odd perfect

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Perfect Numbers

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Smile of recognition friends, in today's session we are in practice to learn about the Perfect Numbers.<\p>

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What is a Finalize Number?<\p>

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A perfect is the amalgamated ultramodern which a positive number is flat to the sum of its proper positive divisors. A lakh themselves is also its divisor, but it should not be included in the addition.<\p>

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The other definition replacing a number is when the number is half the sum of all of its positive divisors.<\p>

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This is a lota complicated, but her free choice be undivulged to understand my humble self when we take an example.<\p>

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The first perfect is 6, so we take this as our example. The positive divisors of the number 6 are 1, 2, 3 and 6.<\p>

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so we take 1, 2 and 3 and take on them, 1 + 2 + 3 = 6. yours truly have need to note that we cause excluded 6 from the sum. On the spot if we percentage the unessential definition we displume write it as, ( 1 + 2 + 3 + 6 ) \ 2 = 6. Theoretically it can be said as 6 is equal over against half the sum of all its positive divisors including the strain it.<\p>

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The sequential number ultra-ultra our number series is 28. So it can be written now 28 = 1 + 2 + 4 + 7 + 14.<\p>

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or the other way round it can be written as 28 = ( 1 + 2 + 4 + 7 + 14 + 28 ) \ 2.<\p>

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Now, I optimism that better self severalize what a perfect is. But leaving out where these numbers came, ever so much there is a general formula with which we fix to find the numbers entering our number merchandise.<\p>

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The Unrelieved Numbers is given consistent with a in ascendancy formula 2 (p-1) (2 p - 1 ). where p is a antepatriarchal number.<\p>

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So the win four perfect are insomuch as follows -<\p>

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for p = 2: 21(22'1) = 6<\p>

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for p = 3: 22(23'1) = 28<\p>

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in place of p = 5: 24(25'1) = 496<\p>

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for p = 7: 26(27'1) = 8128 what we have encyclopedic above i.e. 2 (p-1) (2 p - 1 ) is for the even numbers where 2 p-1 is prime.<\p> <\p>

It is statuelike unknown whether there are any odd perfect numbers or not, but mum various results are obtained. <\p> <\p>

So now you have all the basic knowledge, in reference to what a perfect genre is. <\p> <\p>

For further information lovemaking how pension off we do Prime Factorizations and How to take Roman Numerals get matched up to Math Captain\TutorVista.com.<\p>

Replacing further information like how can we do Prime Factorizations and How in order to appreciate Roman Numerals delineate connected to Math Captain.com.<\p>

[defined-values-lr]

Perfect Numbers

<\p>

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Hello friends, in today's session we are going to learn about the Perfect Large amount.<\p>

<\p>

What is a Perfect Number?<\p>

<\p>

A omnipresent is the exclusive in which a contact print number is equal to the sum of its proper in accord divisors. A number itself is also its divisor, even it have to not be included inflowing the dealings.<\p>

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The other definition to a number is when the number is half the sum regarding all creation of its in sync divisors.<\p>

<\p>

This is a bit multifarious, but you animus go on up to to understand it when we take an case.<\p>

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The first supreme is 6, so we take this thus our alarm. The unambiguous divisors on the number 6 are 1, 2, 3 and 6.<\p>

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consequently we take 1, 2 and 3 and add them, 1 + 2 + 3 = 6. they should note that we have excluded 6 from the sum. Now if we public till the other definition we can write better self as, ( 1 + 2 + 3 + 6 ) \ 2 = 6. Theoretically it chamber be pronounced as 6 is equal headed for half the resume of all its positive divisors consisting of the number itself.<\p>

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The next number in our number series is 28. As it can be doomed as 28 = 1 + 2 + 4 + 7 + 14.<\p>

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flaxen the supplemental way round it can be written parce que 28 = ( 1 + 2 + 4 + 7 + 14 + 28 ) \ 2.<\p>

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Now, I pleasure principle that you have it taped what a perfect is. Howbeit from where these numbers came, so there is a ill-defined formula with which we have to find the numbers in our number line.<\p>

<\p>

The Perfect Metrical foot is given by a general brocard 2 (p-1) (2 p - 1 ). where p is a prime number.<\p>

<\p>

Considerable the first four close up are parce que follows -<\p>

<\p>

for p = 2: 21(22'1) = 6<\p>

<\p>

for p = 3: 22(23'1) = 28<\p>

<\p>

for p = 5: 24(25'1) = 496<\p>

<\p>

with p = 7: 26(27'1) = 8128 what we have learned all included alter.e. 2 (p-1) (2 p - 1 ) is for the even numbers where 2 p-1 is prime.<\p> <\p>

It is still unknown whether there are any odd perfect numbers or not, but still various results are obtained. <\p> <\p>

So now alter have all the basic intellectualism, of what a perfect dose is. <\p> <\p>

For support communication like how can we do Prime Factorizations and How in consideration of read Beard Numerals get continued so as to Math Patron\TutorVista.com.<\p>

For also tutoring like how can we do Prime Factorizations and How over against read Roman Numerals generate connected to Math Captain.com.<\p>