我觉得对了，应该是by the way。我们经常是说了一件事，说着说着，想起来另一件事“对了，告诉你一事儿”，这个时候我觉得是by the way 算了吧，never mind. friends里面瑞秋接到银行打来的电话问她最近还好不好，瑞秋突然说：I‘ve found my magical beans。显然对方没有听懂是什么意思，她接着就说了一句,never mind。大概就是没所谓，不用在意的意思。 我觉得吧，大家说的都挺好，语言就是多样的嘛~，表达的方式有很多的~没有什么固定的说法的~。

*对了* = Correct! / Oh, that's right, ... (when one suddenly remembers sth one wanted to mention) / Oh, by the way, ... However, the intonation patterns are important here. A few more: Yeah! Hey, I was going to say... Yeah! And I just remembered.... 算了吧 = Just forget it, OK?

对了，我忘了告诉你一件事 Look/Oh， i forgot to tell you something. 算了吧，无所谓的。 Forget about it. Nothing actually matters.

I would like to say " well, I forgot to tell you." or formally "OK, there is a thing you should know". It actually depends on the circumstances. "Forget about it, it doesn't matter."

"Oh ya, I forgot to tell you something...:" We say this all of the time, but it is oral English not written. 算了 = "forget about it" or "forget it". I think "don't worry about it" and "it doesn't matter" are closer to "没有关系“。 What do you think?