John 8:58 is a passage where "I Am" is used and many Christians believe it is a proof text for the deity of our Lord, Jesus Christ. I am inclined to agree that it may be.
58 And Jesus said to them, Believe me, before ever Abraham came to be, I am. {Knox Bible]
There are other passages where the same Greek words, ἐγὼ εἰμί, are used. It may be interesting for readers to research them and see if any or if all of them suggest the use of a Divine name.
58 εἶπεν Said αὐτοῖς to them Ἰησοῦς Jesus ᾿Αμὴν Amen ἀμὴν amen λέγω I am saying ὑμῖν, to you πρὶν Before ᾿Αβραὰμ Abraham γενέσθαι to become ἐγὼ I εἰμί. am. [Interlinear translation from the Greek text of Westcott and Hort]
58 And Jesus said to them, Believe me, before ever Abraham came to be, I am. {Knox Bible]
There are other passages where the same Greek words, ἐγὼ εἰμί, are used. It may be interesting for readers to research them and see if any or if all of them suggest the use of a Divine name.