How to reach to potential followers on Twitter (without formally asking for them to follow me)?

[Gooner dinho]

Right now I am just typing a random subject into the search bar and responding to random tweets and hoping they like me enough to follow me.

[John Z Wetmore]

If you have more focus to your tweets, you might attract people with an interest in the subject you tweet about.

[SEOMaestro_24x7]

Yes, More genuine tweet will help you to get more followers. You can even buy real follower also. Buying real follower is worth deal to spread your tweet to other users and get more follower with your good tweets. Mostly people follower account who has more numbers of tweet and followers.

[Leo]

you need to tweet about a very specific topic and be polemic about it, so other people start replying and follow you, also get your own blog or site and build an audience there first and then promote your twitter account from there.

if you have no audience whatsoever and you are not a celebrity or a brand, it's certainly extremely hard to gain an audience from scratch on twitter.