Can all the digits of a square be same?

Avik Roy · Unread post by **Avik Roy** » Fri Dec 17, 2010 11:18 am

Is there any non-trivial square (having multiple digits) all of whose digits are same??

Hint:

rakeen · Unread post by **rakeen** » Sat Dec 18, 2010 11:42 am

'non-trivial square' means?

Unread post by **Masum** » Sat Dec 18, 2010 12:25 pm

I don't understand why I am confused.
Let $aaaa....a$ be the number.Then $aaaa....aa=a*111...111$ but $111....11\equiv -1(mod\ 4)$

Avik Roy · Unread post by **Avik Roy** » Sat Dec 18, 2010 4:34 pm

There is nothing to be confused Masum, consider the available options for $a$ and u'll land safe

Unread post by **Moon** » Sat Dec 18, 2010 8:02 pm

@Masum: It just needs a bit more work. That's all.

Tahmid Hasan · Unread post by **Tahmid Hasan** » Tue Dec 21, 2010 7:46 pm

ovik da's speech is just like open book xm where i can't find anything no matter hoe hard i look for

Mohaimin · Unread post by **Mohaimin** » Wed Dec 22, 2010 12:29 am

rakeen wrote:'non-trivial square' means?

Trivial means 1, 4 and 9, which have only one digit.
Non trivial are all others.

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