54 Jesus answered, "If I should ever be glorifying Myself, My glory is nothing. It is My Father Who is glorifying Me, of Whom you are saying that He is your God.
55 And you know Him not, yet I am acquainted with Him, and if I should be saying that I am not acquainted with Him, I shall be like you, a liar. But I am acquainted with Him and I am keeping His word.
56 Abraham, your father, exults that he may become acquainted with My day, and he was acquainted with it and rejoiced."
57 The Jews, then, said to Him, "You have not as yet lived fifty years, and you have seen Abraham!"
58 Jesus said to them, “Verily, verily, I am saying to you, Ere Abraham came into being, I am.”
59 They pick up stones, then, that they should be casting them at Him. Yet Jesus was hid and came out of the sanctuary. And passing through the midst of them, He went and thus passed by.
καὶ εἶπεν ὁ θεὸς πρὸς Μωυσῆν Ἐγώ εἰμι ὁ ὤν,
— said — God to Moses, I am the (One) (who) exists.",
καὶ εἶπεν Οὕτως ἐρεῖς τοῖς υἱοῖς Ισραηλ
And (then) he said, "Thus you will say to the sons of Israel,
Ὁ ὢν ἀπέσταλκέν με πρὸς ὑμᾶς.
`The (One) (who) exists has sent me to you.’".
So the Greek translation of God’s title was ho ōn (ὁ ὤν) rather than egō eimi (Ἐγώ εἰμι).
Moreover, we can clearly see that the Jews didn’t consider the words “I am (he)” to be the name of God because they weren’t bothered by Jesus using it earlier in the chapter (John 8:24, 28). It definitely wasn’t a reaction to Jesus saying “egō eimi” or else they would have attempted to kill him at verse 24. In this verse, Jesus told the unbelieving Jews, “I told you that you would die in your sins, for unless you believe that I am he (egō eimi) you will die in your sins.” In response to this the unbelieving Jews asked, “Who are you?” Jesus then replied, “Just what I have been telling you from the beginning.” And what had he been telling them? Answer: that he was the one sent from God, and the one to whom the Scriptures bore witness. In chapter 5, Christ told the Jews, “You search the scriptures because you think that in them you have eonian life; and it is they that bear witness about me...” (v. 39). Similarly, in John 5:46-47 he told them, ”If you believed Moses, you would believe me; for he wrote of me. But if you do not believe his writings, how will you believe my words?”