Luke 2:41-52 tells the story of Joseph and Mary leaving Jerusalem after “the custom of the festival” (to ethos tēs heortēs). It announces importantly (a capitalized Kai) this was “after he was of years of twelve” (hote engeneto etōn dōdeka). In the word written, this importantly stating this is “after” (hote means “after that, as soon as, when” – Strong’s) he turned “twelve,” then the family “having come” (anabainontōn) to Jerusalem, “according to the custom of the festival” that is both Passover and Pentecost. This is then confirmed to be both, when verse 43 importantly (lower-case kai) states “of having fulfilled those days” (teleiōsantōn tas hēmeras), which is the Counting of the Omer, which is the fifty “days” from the first evening of Passover to Pentecost – the Fiftieth Day.
This says that Jesus experienced his “twelfth” birthday after the Passover, but before the number of “days” in the counting “having come completed.” In the year 4 AD, the Passover “festival” began on April 23rd (14 Nisan) and ended on April 30th (21 Nisan). Jesus’ Solar Return – thus his true birthday that he turned “twelve” – was on May 25, 004, at 8:36 am. That was the 33rd “day” in the Counting of the Omer. That is “day” five of the week five, or Hod of Hod.
The prayer recited on that day leads one to contemplate this:
“Examine the humility of humility. Everyone has humility and modesty in their hearts, the question is the measure and manner in which one consciously feels it? Am I afraid to be too humble? Do I mask and protect my modesty with aggressive behavior? Learn to cultivate your humility by interacting with people who are more refined than yourself, evoking in you modesty and humility that motivates you to grow.
Humility must also be examined for its genuineness. Is my humility humble? Or is it yet another expression of arrogance? Do I take too much pride in my humility? Do I flaunt it? Is it self-serving? Is my humility part of a crusade or is it genuine? Do I have expectations due to my humility?
Exercise for the day: Be humble just for its own sake.” (Chabad.org)
That was on a Sunday, the first “day” of the week. The Festival of Weeks (Shavuot) or Pentecost was then three weeks (21 “days”) afterwards. That would be 8 Sivan, or June 15, 004. Upon that “completion” of the “festival days” the family would have returned to Nazareth, thinking Jesus was with their group traveling in numbers safely. After one day’s travel, they would realize he was not with them, leading them to return and find him three days after Pentecost. That would have been on Wednesday, June 18, 004 AD.
Here is his Solar Return chart for May 25, 004

Here is the event chart for Jesus being found in the Temple teaching Judaic scholars on Wednesday, June 18, 004

