Rectangle riddle

Number Theory Level 2

Is it possible to fill each circle with a distinct integer from 0 to 10 (inclusive) such that the sum of all 3 values on each side is a distinct prime number?

Note: Only 8 integers will be used.

No Yes

2 solutions

Munem Shahriar
Dec 13, 2017

There are also many arrangement which satisfy that condition...

Md Mehedi Hasan - 3 years, 5 months ago

You can also use non zero positive single digit for this question...such that...

$\begin{array}{|c|c|c|} \hline 9 & 8 & 6\\ \hline 3& &7\\ \hline 5&2&4\\ \hline \end{array}$

Md Mehedi Hasan - 3 years, 5 months ago

Nice. But I was considering distinct prime numbers.

This configuration will not work.

Munem Shahriar - 3 years, 5 months ago

@Munem Shahriar – oho!! I didn't notice that. Did you update the question,bro?

Md Mehedi Hasan - 3 years, 5 months ago

@Md Mehedi Hasan – No. I didn't.

Though, the problem was edited for some clarity.

''Use the digits exactly once'' was changed to ''Only 8 integers will be used.''
Digits was changed to values

As far as I remember, I didn't edited the distinct prime numbers part.

Munem Shahriar - 3 years, 5 months ago

@Munem Shahriar – sorry,bro. It's my mistake. May be I didn't read the question properly.

Md Mehedi Hasan - 3 years, 5 months ago

@Md Mehedi Hasan – That's okay. :)

Munem Shahriar - 3 years, 5 months ago

Priti Gupta
Jan 31, 2018

The question didnot specify repetition of digits: My approach from top left clockwise: 0,1,2,3,6,4,5,8

Rectangle riddle

2 solutions

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