Will The year 4000 be a leap year?

No. A year is a leap year if it is divisible by 4. But if the year ends in 00 it is not a leap year unless the entire year is divisible by 400,but the length of the

tropical year would be 365 969/4000 days = 365.24225 days. This would

dictate 969 leap years every 4000 years, rather than the 970 leap

years mandated by the Gregorian calendar. This could be achieved by

dropping one leap year from the Gregorian calendar every 4000 years,

which would make years divisible by 4000 non-leap years.

Yes, 4000 WILL be a leap year.