Does a first page SERP ranking give your page more authority?

I've seen some people imply that a webpage with a top ranking for its targeted keyword will have "extra" authority.

What they tend to suggest is this:

Let's say, for example, your goal is to reach the top position for a keyword with 500,000 results (broad search without quotes).

What you should do then is:




Somehow, those 10 pages will have more authority since they are already ranked highly for their targeted keywords? Is that true? Does a page that ranks #1 for a worthless keyword given extra authority in Google's eyes?

I cant confirm that G will give relative PRs based on what you're optimizing for... I say this because typically when you search for a random longtail with minimal results, even the first couple results can have a PR 0 or 1. I really think that as always, PR will almost always depend on how authoritative a site is in a more generalized niche, with tons and tons of backlinks, etc. Usually if you're in a tiny longtail niche, you wont have a whole bunch of BL anyway, and youll have a low PR... but you could be ranking #1 or #2! But its all relative, right?

I somehow doubt that the actual ranking of one page will be taken in consideration. I mean, the serp rankings is just a result of an equation. If the algorithm would have to take that result and put it in the equation it would create an infinite loop, wouldn't it?

1 + 1 + (result of 1 + 1) = ?