Really a logical one, let's see who can find it first

For discussing Olympiad Level Number Theory problems
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Dipta Akash Roy
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Really a logical one, let's see who can find it first

Unread post by Dipta Akash Roy » Tue Jan 17, 2012 7:31 pm

What's the summation of the digits of 4444^4444 ?????
X=V-E+F

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*Mahi*
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Re: Really a logical one, let's see who can find it first

Unread post by *Mahi* » Tue Jan 17, 2012 8:50 pm

A IMO problem, maybe during the '80s.
Hint:
Take $\text {mod }9$
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Re: Really a logical one, let's see who can find it first

Unread post by Dipta Akash Roy » Tue Jan 17, 2012 10:36 pm

But how have you determined the number of digits of it???
X=V-E+F

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Re: Really a logical one, let's see who can find it first

Unread post by *Mahi* » Tue Jan 17, 2012 10:45 pm

It said to find the SUM of digits , not their number, I belive.
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Re: Really a logical one, let's see who can find it first

Unread post by Dipta Akash Roy » Tue Jan 17, 2012 10:54 pm

I thought I have to determine the number of digits first. So, what's the procedure??? I've tried hard but in vain.
X=V-E+F

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Re: Really a logical one, let's see who can find it first

Unread post by *Mahi* » Tue Jan 17, 2012 10:58 pm

See and try the hint.
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