All multiples of 10 are exceptions to this condition. Reason :

\(10^2 = 100\). On reversing 10 we get \(01\). Now square it we get \(01^2 = 1 = 01 = 001 = 0001 ..... and~so~on\). Now reversing it we get \(10,100,1000 .....and~so~on\). So, the multiples of \(10\) are exceptions. More clearly they will be in an undetermined form.

@Ram Mohith
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You can twist the question in the direction of palindromes. Say you give examples for palindromes and ask whether it works all the time ( For other numbers too). And you give three options. Yes, always , No, never and Yes , sometimes. But do not make it too obvious

Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestAll multiples of 10 are exceptions to this condition. Reason :

\(10^2 = 100\). On reversing 10 we get \(01\). Now square it we get \(01^2 = 1 = 01 = 001 = 0001 ..... and~so~on\). Now reversing it we get \(10,100,1000 .....and~so~on\). So, the multiples of \(10\) are exceptions. More clearly they will be in an undetermined form.

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Make sense

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All single digit integers will satisfy this condition the reason being when they are reversed the same number is obtained.

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True

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I am thinking to frame a question based on these observations.

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It only works around 20

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You cannot frame a question

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Why can't we ?

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May I assist

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I am trying to obtain a general form for these numbers or if there is some periodicity between the numbers .

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Did you get still anymore numbers like these.

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Well I noticed that the 144 is 12 squared. And the prime factorization of 144 is 3^2 times 2^4 which is 4^2 and 3 and 4 are consecutive.

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My assumption WORKED. YAY

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You just take two consecutive numbers. Then multiply them. and then the rest works.

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AND THAT WAY WORKS

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P.S. I am 10 this my Brother's account

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Yes that is a good way finding such numbers. I too will try.

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Try to find if there are any such numbers.

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Yes. It is quite good.

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Can you help me in my other notes

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surely.

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Lets go to interesting prime powers relationship(the name)

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The idea of making a problem out of this out of question

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Unless it is a proof stating question

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But my idea is not to write a proof based question.

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Yes. Your point is also correct.

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It only works below 20

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Sorry. It is around 20

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20 means squaring and reversing

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Ok. Should see about this !!!

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WAIT 10 and 11 work

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Square 20. We get 400.

Reverse 20. We get 02.

Square 02. We get 004

Reverse 400. We get 004

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Good one again

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Did you know that both the endings of 31 and 19 end in 61.

31 times 31 = 961

and

19 times 19 = 361

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