Just so Richard doesn't confuse you, Seraphita, there's been no dispute about Mary M. having been the first to see the risen Christ according to Matthew, Mark, and John.
Luke is the outlier: he says the women were told by two men, presumably angels, at the tomb that Christ had risen, whereupon the women ran to tell the (male) disciples what the men had told them. As you suggest, the disciples didn't believe the women, according to Luke, and Peter himself ran to the tomb to see. But he didn't see the risen Christ then either. Re "According to the Bible, Mary Magdalen was the first to see the risen Christ.": Indeed. Now bear in mind that in those far-off days a woman's testimony would be regarded as very much inferior to a male witness. If the Gospel writers were making the story up would they have chosen Mary as a witness to that pivotal event rather than, say, Peter?
