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How would I express Jewish dates as numbers (e.g., 5766-9-27) since different years have different numbers of months?

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How would I express Jewish dates as numbers (e.g., 5766-9-27) since different years have different numbers of months?

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Your initial impulse would be to number the months with the Tishri (the first month) being 1, Heshvan (the second month) being 2, etc. But then when you get to Nisan you will have a problem because in leap years there is an extra month preceding Nisan; it will be the seventh month in non leap years and the eighth month in leap years.

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