Divisibility of integers

Can any integer in the sequence 11 , 111 , 1111 , . . . . . . . 11,111,1111,....... be a perfect square?

insufficient data nothing no yes

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Sayak Dutta
Dec 19, 2017

A typical term 11......11 is of the type of 4k+3.The perfect squares are either of the form 4k or of the form 4k+1. Hence the number 11.....111 cannot be a perfect square

Gave me a knew insight

Mohammad Farhat - 2 years, 9 months ago

Amazing answer. Really liked it. Especially the new fact

Syed Hamza Khalid - 2 years, 7 months ago

Log in to reply

I agree with you

Mohammad Farhat - 2 years, 7 months ago

Log in to reply

Thanks for the compliment! :)

Syed Hamza Khalid - 2 years, 7 months ago

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...