According to rabbinic tradition, there are two main opinions regarding the date of the world's creation:
Rabbi Eliezer's view: The world was created in the month of Tishrei (typically September or October). This aligns with the celebration of Rosh Hashanah, the Jewish New Year, observed on the first and second days of Tishrei[4].
Rabbi Yehoshua's view: The world was created in the month of Nisan (usually March or April)[5].
Some additional details and interpretations include:
A Talmudic teaching attributed to Rabbi Eliezer states that on the 25th of Elul (the month preceding Tishrei), God began the creation process[4].
The Midrash suggests that God created the Divine light on the 25th of Elul by saying "Let there be light"[4].
According to calculations by Rabbi Yossi ben Halafta, a second-century CE sage, the moment of creation ("molad tohu" or "birth from nothing") occurred on Monday, October 7, 3761 BCE (in the Gregorian calendar)[1].
It's important to note that these dates refer to the Hebrew calendar. The Jewish calendar considers the year 3761 BCE as the date of creation, which corresponds to approximately October 7, 3761 BCE in the Gregorian calendar[1][4].
Some Hassidic thought attempts to reconcile the differing opinions by suggesting that the world was created in Nisan in thought, while in deed it was created in Tishrei[5].
Citations:
[1] https://www.myjewishlearning.com/article/counting-the-years/
[2] https://answersingenesis.org/days-of-creation/creation-days-and-orthodox-jewish-tradition/
[3] https://en.wikipedia.org/wiki/Criticism_of_the_Talmud?oldformat=true
[4] https://www.hebrew4christians.com/Holidays/Fall_Holidays/Elul/Creation/creation.html
[5] https://quantumtorah.com/when-was-the-world-created/
[6] https://judaism.stackexchange.com/questions/139774/what-is-the-date-of-the-babylonian-talmud-and-how-is-it-dated
[7] https://www.britannica.com/topic/anno-mundi
[8] http://resource.download.wjec.co.uk.s3-eu-west-1.amazonaws.com/vtc/2017-18/17-18_2-19/pdf/eduqas/3a-the-creation-of-the-world-ao1-handout.pdf
[9] https://www.jhi.pl/en/articles/a-way-of-life-why-is-the-talmud-important-to-jews,4785
[10] https://www.chabad.org/library/article_cdo/aid/246605/jewish/Creation-of-the-World.htm