Well, it depends on what you mean by Judaism actually!
If you mean when the Jews received the Torah by Moshe(Moses), then it is 3300 years old. The Torah is the key figure of Judaism, and was given to the Jews by the Prophet Moshe(Moses.) This is when Judaism became the major religion in Eretz Yisrael, and when judaism took its form.
However, even before Judaism there were Prophets (examples: Job, Adam.) According to the Talmud, there were overall over 1.2 Million Prophets that came, to teach the basic message of G-d! However, once Moses came, the Covenant was officially started with the Jews, and they had their Torah. AND THISAbrahams faith was to be put to the test. God appeared to him and commanded: Go your way out of your country and from your relatives and from the house of your father to the country that I shall show you; and I shall make a great nation out of you and I shall bless you and I will make your name great; and prove yourself a blessing. And I will bless those who bless you, and him that calls down evil upon you I shall curse, and all the families of the ground will certainly bless themselves by means of you.Genesis 12:1-3. From this time Abraham came into a special covenant with God. Abraham was the tenth generation from Noah through Shem and was born 352 years after the Deluge, in 2018 B.C.E. 2018 + 2006 = 4024 years.
Moses, Abraham, and Noah are not historical, but mythological figures; there is no archaeological evidence that these people actually existed. Judaism has its origins largely in the Persian Zoroastrianism and emerged historically between the 5th and 3rd centuries BC as an independent faith.
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