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Hello from JustAnswer.
Is this a typo? We usually do not do an ultrasound at 3 1/2 weeks gestation.
Could this have been 13 1/2 weeks?
I had asked for some clarification and have not heard back.
If this was not a typo, then there is no chance that a sexual encounter on March 13th could result in a 3 and 1/2 week pregnancy on May 8th. This day of sex is 8 weeks before the date of the ultrasound, and sperm will typically only survive in the genital tract for up to 5 days.
However, as I said above, it is unusual for an ultrasound to be done at 3 1/2 weeks gestational age. If this is a typo, then the analysis would change.
If I can provide any additional information, please let me know.