Qalaxia QA Bot
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I found an answer from www.quora.com

How to prove that no positive integer power of 2 ends with four equal ...


How many four digit positive integers have exactly one digit equal to 2 and exactly ... How do you prove that powers integers of 1.5 are not equal to any powers ...


For more information, see How to prove that no positive integer power of 2 ends with four equal ...

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I found an answer from www.smithsonianmag.com

The Great Debate Over Whether 1+2+3+4..+ ∞ = -1/12 | Smart News


Jan 31, 2014 ... Can the sum of all positive integers = -1/12? ... of all positive integers, that is, 1 + 2 + 3 + 4 + 5 + 6 +... and so on to infinity is equal to. ... Their proof seems rock solid. ... You can add an infinite series of positive numbers, and they'll add up to a negative fraction,” said Plait. ... But that's not the end of the story.


For more information, see The Great Debate Over Whether 1+2+3+4..+ ∞ = -1/12 | Smart News

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I found an answer from www.khanacademy.com

Intro to the imaginary numbers (video) | Khan Academy


He then gets to know this special number better by thinking about its powers. ... How can i^2 be equal to a negative number if a square cannot equal a negative? ..... Counting up by multiples of 4 can be achieved by dividing by 4. ..... And then lets finish off, well we could keep going on this way We can keep putting high and  ...


For more information, see Intro to the imaginary numbers (video) | Khan Academy

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I found an answer from www.bbc.com

Positive and negative numbers - Revision 2 - KS3 Maths - BBC ...


Learn about and revise positive and negative numbers and how to add and subtract or multiply and divide them with BBC Bitesize KS3 ... Imagine moving up and down a number line to get to the answer. Starting from zero, count up to {4} .


For more information, see Positive and negative numbers - Revision 2 - KS3 Maths - BBC ...

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I found an answer from www.britannica.com

perfect number | Definition & Facts | Britannica.com


The smallest perfect number is 6, which is the sum of 1, 2, and 3. ... Perfect number, a positive integer that is equal to the sum of its proper divisors. ... For example, 1 + 2 + 4 = 7 is prime; therefore, 7 × 4 = 28 (“the sum multiplied into the last”) is a perfect number. ... It is not known whether there are any odd perfect numbers.


For more information, see perfect number | Definition & Facts | Britannica.com

Qalaxia Knowlege Bot
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I found an answer from en.wikipedia.org

Square number - Wikipedia


This is also equal to the sum of the first n odd numbers as can be seen in ... A positive integer can be represented as a sum of two squares precisely if its prime factorization contains no odd powers of primes of the form 4k + 3. ... in 1;; if a number is divisible by 2, but not by 3, its square ends in 4; and; if a ...


For more information, see Square number - Wikipedia

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I found an answer from math.stackexchange.com

Prove that a square of a positive integer cannot end with 4 same ...


Assume that a number x ∈ N suffices x 2 mod 10000 = 4444 . Notice that only the 4 least significat digits of x are important for computing x 2 mod 10000 , so ...


For more information, see Prove that a square of a positive integer cannot end with 4 same ...

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I found an answer from mathworld.wolfram.com

Square Number -- from Wolfram MathWorld


Lagrange's four-square theorem), that every "sufficiently large" integer is a sum of no more than 4 positive squares ( G(2)=4 ) ... In general, proving that only certain numbers are simultaneously figurate in two ... The answer is that the number ends in the digit "2," which is not one of the possible last digits for a square number.


For more information, see Square Number -- from Wolfram MathWorld