I think primary and main idea of bitcoins was to make world a better place to live, to shorten gap between rich and poor, educated and non educated people...
Not sure where you got this notion. If you've read Satoshi Nakamoto's
white paper on bitcoin, it's clear that what he wanted to accomplish was for money to be exchanged between two individuals without the need for a third party to confirm/uphold the transaction.
To quote Satoshi,
[Bitcoin is a] purely peer-to-peer version of electronic cash [that] would allow online payments to be sent directly from one party to another without going through a financial institution...
... and then he goes about describing the solution he's come up for accomplishing just that.
Also, note that the proposal for bitcoin was released after the 2007-2009 financial crisis, so you can also see the context where Nakamoto is coming from.
Re: mining farms now holding most of the world's bitcoins -- if true, I sincerely doubt that Nakamoto foresaw the possible 'dangers' to bitcoin if ever there were just a few individuals/groups holding the world's supply of bitcoins. Truth be told, he only envisioned CPUs to be used for mining (and not the mining 'rigs' that are used today), as mentioned in the
white paper.
Having just a few groups/individuals own much of the world's bitcoins do seem to pose an issue, as it defeats the purpose for which bitcoin was created-- decentralization.