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 [SOLVED] Funny squares

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Bruno
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PostSubject: [SOLVED] Funny squares   Tue Nov 17, 2009 10:00 pm

This problem is my own. I hope you like it. afro

An integer is called base b funny if its base-b representation consists of the concatenated digits of two consecutive squares. For instance, 2536 is funny in base 10.

A (base b) funny square is a square which is funny in base b. For instance 49 is a funny square in base 10 (and the only one I found up to 10^8 ).

Show that there are no funny squares in base b if b is a square.


Last edited by Bruno on Wed Nov 25, 2009 11:56 am; edited 1 time in total
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Mohammad
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 18, 2009 10:51 pm

These numbers are really funny I start laughing at them now still. I will give a thought to it soon Basketball
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peyman
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 18, 2009 10:55 pm

they are funny and they even have a funny name! rendeer
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Bruno
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 18, 2009 10:56 pm

Haha, you said "funny" twice! jocolor
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peyman
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PostSubject: Re: [SOLVED] Funny squares   Tue Nov 24, 2009 11:10 pm

Can you post your solution?
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Bruno
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PostSubject: Re: [SOLVED] Funny squares   Tue Nov 24, 2009 11:33 pm

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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 2:41 am

Nobody likes it? No
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 9:21 am

It's beautiful Bruno! I like it very much: Very Happy
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Mohammad
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 11:41 am

Nice solution, I am sure I couldn't solve it even if I was back in 20... Good job! bounce
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PostSubject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 11:42 am

Wink

Thank you both.
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