We are in a leap year, as indicated by the presence of Adar Bet. Leap years occur every third, sixth, eighth, eleventh, fourteenth, seventeenth and nineteenth years in the cycle. So how to tell which leap year we are in?
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5774 is the 17th year in the 304th cycle of the moon. See page 7 of this link
If you divide 5774 / 19 the answer is 303 with a remainder of 17.