Below is a list of dates when New Year's Eve will occur from 3958 to 3967.
| Year | Date | Day |
|---|---|---|
| 3958 | December 31, 3958 | Wednesday |
| 3959 | December 31, 3959 | Thursday |
| 3960 | December 31, 3960 | Saturday |
| 3961 | December 31, 3961 | Sunday |
| 3962 | December 31, 3962 | Monday |
| 3963 | December 31, 3963 | Tuesday |
| 3964 | December 31, 3964 | Thursday |
| 3965 | December 31, 3965 | Friday |
| 3966 | December 31, 3966 | Saturday |
| 3967 | December 31, 3967 | Sunday |