After conducting extensive research, I have found that the algorithm for converting a date from the Gregorian calendar to the Jewish calendar involves several rules and calculations.

The Jewish calendar is based on a lunar cycle, unlike the Gregorian calendar, which is based on a solar cycle. To convert a date from the Gregorian calendar to the Jewish calendar, the following steps can be taken:

Find the Hebrew year: Subtract 3760 from the Gregorian year to obtain the Hebrew year. For example, the Hebrew year for 2021 is 5781 (2021 - 3760).

Find the molad: The molad is the moment of the new moon at the beginning of each Hebrew month. It is calculated based on the length of the lunar cycle, which is approximately 29.5 days. The molad for Tishrei, the first month of the Hebrew calendar, occurs on the day of the week and the hour that is closest to the calculated time of the new moon for that month. The molad is then used to determine the start of each month.

Find the Rosh Hashanah: Rosh Hashanah is the Jewish New Year, which falls on the first day of Tishrei. The date of Rosh Hashanah is calculated based on the molad of Tishrei and several rules.

Calculate the date of the desired Hebrew month and day: Once the date of Rosh Hashanah is known, it is possible to calculate the date of any other Hebrew month and day by counting the number of days from Rosh Hashanah.

Overall, the process of converting a date from the Gregorian calendar to the Jewish calendar involves several complex calculations and rules. It is recommended to use a reliable tool or consult with an expert in Jewish law and customs to ensure accuracy.
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