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 https://www.cvedetails.com
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
Carlettus.
CarloAsked:
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Rajul RajInformation Security OfficerCommented:
This will be helpful
https://www.exploit-db.com/
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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
CArlettus
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arnoldCommented:
Run yum list updates on your red hat system.
The redhat proces issues updates to the micro, nano version while maintaining major, mini versions.
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CarloAuthor Commented:
Thank you to both
I'm starting to use the following site that solves my problem.

https://cve.mitre.org/cve/cve.html

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