Constantly receive letters for password reset. Didn't ask for it.

It's a scam. They want you to follow a link where you would enter your Apple ID and password so they can start charging App Store purchases to your account, purchase hardware in your name, etc. In other words, it's spam you're getting over and over. Just delete them.

Are you sure they are from Apple? Sounds like phishing to me.

Someone may be trying to break into your account, or they may be entering in your Apple ID in error rather than their own. Make sure that your password is very strong and that your security questions are difficult to guess (using fake information rather than real answers is usually the best approach; they just need to be something you can remember).

Or, as the others suggest, they may be a phish. If there's a link the email directs you to click, a fake is highly likely.

Regards.

That is Apple's address. At least, I can verify it up to the default page of https://iforgot.apple.com/iForgot/iForgot.html . The rest would be generated for your account. You are likely correct that someone else is trying to access your account. You of course get the emails asking to verify your account, or ask to have your password emailed to the email address on record.

Out of curiosity, as I don't speak Russian, what is "KOMY" with an address in .ru (Russia)?

And, additonally, I don't believe Apple would send an email with a link that expires in 3 hours - or, at least, I've not heard of that.

And, additonally, I don't believe Apple would send an email with a link that expires in 3 hours - or, at least, I've not heard of that.

No, the link to reset the password or security questions does expire after three hours, so that part is OK.

I reset my security questions a few days ago (I needed them to set-up two-step verification and I had forgotten what they were) and the mail I received looked pretty much as the OP's.

So the OP"s mail looks real, if you are still getting these often it could be someone is trying to get into your account. Make sure your password is secure.

regards

I have gotten 17 of these in the last three days. So have some other people I know. My password is very secure, and I haven't tried to reset it. So...presumably there's some new hacker software trying to break in? I know of too many people having this issue for it to just be random strangers trying to force their way in.

Interesting article here about how and why phishing attacks against Apple users are on the increase:

http://www.macworld.co.uk/macsoftware/news/?newsid=3461049&olo=email

what if they are trying to force me to change the password so they can intercept it somehow. Is it even possiblу or am I just being paranoid? 🙂

You're being paranoid 😀

As the email says

If you weren't trying to reset your password don't worry you're account is still secure and no one has been given access to it.