Dating the Crucifixion
Virtually all research suggests Jesus died between AD 30 and AD 33. As has been covered above, only a year with a Wednesday Passover fits all scriptural accounts. Only a Wednesday Passover follows the idea that many of the Holy Week events would be part of an established pattern.
Finding a year with a Wednesday Passover is not exactly easy. We cannot just calculate backward using a calendar that did not exist at the time nor can we use math that did not exist at the time. Originally, the beginning of each month was determined based on physical observation of a new moon, while the decision of whether to add the leap month was based on observation of natural agriculture-related events in ancient Israel. It was not until 70 AD that mathematical rules began to be introduced for these dates.
The mathematical rules do not consider any anomalies that would have caused adjustments. What this means is that any calculation backward basically has a one in seven chance of falling on the actual day.
That said, the information that merges Roman and Jewish mainstream calendars with actual dates from Maimonides forward (1170 AD) and mathematical computations going backward including adjustment for leap years provides two Wednesday Passovers in our date range: Wednesday, April 5th 30 AD (http://www.cgsf.org/dbeattie/calendar/?roman=30) and Wednesday, April 25th 31 AD (http://www.cgsf.org/dbeattie/calendar/?roman=31).
The Book of Mormon includes a documented timeline covering the time from the sign of Jesus' birth to the signs of his death. This timeframe is 34 years. Assuming the 30 AD timeframe, 34 years before that is actually 5 BC (there is no 0 year between BC/AD).
Almost all recent research concludes that Jesus' birth was between 6BC and 4BC, but since the scriptural narrative implies either a spring or fall celebration timing for Jesus' birth, 4BC is likely too late since Herod died sometime around March 13th 4BC, and given the wise men interaction with him, a 4BC birth is unlikely.
If we follow the idea that major events in the life of the Messiah are witnessed by patterns, there are two Jewish celebrations that deal with birth - Nisan 1, which is the first month of the year and recognized as a time of new life, and Rosh Hashanah, which celebrates the first day of creation. These two dates in 5 BC would be approximately Saturday, April 8th and Monday, October 2nd respectively.