## Can you find an integer b such that:3b^+3b+7？

For discussing Olympiad Level Number Theory problems
liyuqingru
Posts: 1
Joined: Mon Oct 22, 2012 9:30 am

### Can you find an integer b such that:3b^+3b+7？

Find \$b\$ such that \[3b^2+3b+7\vdots b\]
Who can help me solve this question in detail? Thanks a lot!
Last edited by Masum on Tue Oct 30, 2012 5:13 am, edited 1 time in total.
Reason: I put this according to my guess. Edit if it's not the case

Masum
Posts: 592
Joined: Tue Dec 07, 2010 1:12 pm

### Re: Can you find an integer b such that:3b^+3b+7？

\$a|b\Rightarrow a\vdots b\$
Don't use the title to mean the actual problem. To clarify the problem, be generous enough to write some detail on the problem. And find a suitable title
One one thing is neutral in the universe, that is \$0\$.

harrypham
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### Re: Can you find an integer b such that:3b^+3b+7？

liyuqingru wrote:Find \$b\$ such that \[3b^2+3b+7\vdots b\]
Who can help me solve this question in detail? Thanks a lot!
From here we obtain \$b|7\$.