Find a set of 3 integers that are mutually relatively prime but any 2 of which are not relatively prime.

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Find a set of 3 integers that are mutually relatively prime but any 2 of which are not relatively prime.

Mathematics
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

I am not the best at number theory but I will think on it for a minute.
I post the wrong question, now I correct it. Surely the previous one is easy. :)
2*3, 3*5, 2*5 ?

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Let \(d\) be a common divisor of \(a+b\) and \(a−b\), then \(d\) divides their sum \(2a\) and difference \(2b\). If a number divides two numbers it also divides their gcd, thus \(d\) divides \(2gcd(a,b)=2\). That implies that every divisor (including the greatest common divisor) is a divisor of \(2\).
pq, qr, rp That's a fun more general case. But not like super best.
ahh I c. Yeah, what @Empty said
oh oh.... they are integers!! not primes. GGGGGGGGGGGGot it. :)
@Empty your set doesn't work :( 2*3, 3*5, 2*5 = 6, 15, 10 , they are not mutually relative prime nor pair-wise relative prime
They are mutually relatively prime because: \[gcd(6,10,15)=1\] but any two are NOT relatively prime: \[gcd(6,10)=2\]\[gcd(6,15)=3\]\[gcd(10,15)=5\] That's what you asked for!!
oh yeah. I am sorry. I should take a snap. :(
lol
Haha it's ok! This is a fun problem but it's confusing! xD Honestly anything with 'relatively prime' in it makes my head spin a little bit ahaha

Not the answer you are looking for?

Search for more explanations.

Ask your own question