The end of the wheat harvest is about 120 days after it’s planted in the beginning of Spring. That’s 4 months, not 3!
This can be confirmed here: http://www.gardenguides.com/124101-requirements-growing-wheat.html and here: http://www.agriculture.gov.sk.ca/Default.aspx?DN=7107afb4-b24e-45e8-b6e6-ad78ad991d2d , all agricultural sites, not religion sites.
Now a comment about the conversation of Jesus with the woman at the well:
This event herein recounted took place in the month of Abib, shortly after Passover when the man from Galilee cleared the temple the first time, John 2:13-16. After an evening meeting with Nicodemus (3:1-21), He headed to Judea for a short visit with John who was baptizing in that region (3:22-36), then headed toward Galilee, (4:1-3). On the way, the carpenter from Nazareth, exhausted by the quick trip, stopped in Samaria to rest (4:4) where He encountered a woman at the well, (4:7-26). Later when his disciples had returned with food, they said, …Master, eat.
But He said unto them, I have meat to eat that ye know not of. Therefore said the disciples one to another, Hath any man brought Him ought to eat? Jesus saith unto them, My meat is to do the will of Him that sent me, and to finish His work. behold, I say unto you, Lift up your eyes, and look on the fields; for they are white already to harvest. John 4:31-35
This was the first month when Jesus made this statement! Wheat is white when it is ready to harvest! From the beginning of Abib to the end of the 4th month, is . When the disciples turned around, all they saw were little spikes of green because the wheat had just been planted, however He spoke of a harvest of souls, not the wheat. Without question, this precludes “Pentecost” from occurring in early June.