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# [SOLVED] Funny squares

AuthorMessage

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 Subject: [SOLVED] Funny squares   Tue Nov 17, 2009 10:00 pm This problem is my own. I hope you like it. 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

Descartes

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 Subject: 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

Euclid

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 Subject: Re: [SOLVED] Funny squares   Wed Nov 18, 2009 10:55 pm they are funny and they even have a funny name!

Posts : 184
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 Subject: Re: [SOLVED] Funny squares   Wed Nov 18, 2009 10:56 pm Haha, you said "funny" twice!

Euclid

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 Subject: Re: [SOLVED] Funny squares   Tue Nov 24, 2009 11:10 pm Can you post your solution?

Posts : 184
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Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED] Funny squares   Tue Nov 24, 2009 11:33 pm

Posts : 184
Join date : 2009-09-15
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 Subject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 2:41 am Nobody likes it?

Euclid

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 Subject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 9:21 am It's beautiful Bruno! I like it very much:

Descartes

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Join date : 2009-11-05
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 Subject: 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!

Posts : 184
Join date : 2009-09-15
Age : 32
Location : the infinite, frictionless plane of uniform density

 Subject: Re: [SOLVED] Funny squares   Wed Nov 25, 2009 11:42 am Thank you both.