How to check if Kernel is vulnerable

Hello to everyone.
I've been asked to check on the Intenet if the following Linux kernel have known vulnerabilities.
Here they are:
1)         kernel-2.6.32-696.el6.x86_64.rpm
2)         kernel-3.10.0-514.6.2.el7.x86_64.rpm

I normally check on
but I only get vulnerabilities for kernel-2.6.32so it's missing the 696 .
Can someone give me an advice on how to be sure that the two Kernel Versions are not vulnerable?

thank you
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Rajul RajInformation Security OfficerCommented:
This will be helpful
CarloAuthor Commented:
Thank you for your help.
exploit-db gives you a list of exploit for  a certain vulnerability, if a system is vulnerable may be the exploit it doesn't exist.

Thank you
Run yum list updates on your red hat system.
The redhat proces issues updates to the micro, nano version while maintaining major, mini versions.
CarloAuthor Commented:
Thank you to both
I'm starting to use the following site that solves my problem.

Thank you

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CarloAuthor Commented:
My research gave me a good solution to use.
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