Well, frankly, the gender really won't help. A boy might mean a 1% difference in the odds of the two guys, if it matters at all.
Knowing the gender might help a little, but it will not be definitive. At only 4 days apart, the sex was just too close together, especially because the desired father is the second guy and sperm lives a long time in the woman's body. If this is super important to know immediately, you could spend the nearly two grand and get a DNA test before the baby comes (from Ravgen or the DDC), or else just do a DNA test after the baby comes for about a tenth of the cost.
The fact that the measurement does also exactly match her last period date is why I asked. It could mean simply that everything is consistent, the period and the ultrasound, which wouldn't be unusual. It could sometimes mean that a doctor or nurse just plugged that date in when it was given in the intake interview (they always ask the first day of the lmp) and never corrected it based on ultrasound measurements. But it sounde like you do know that it was the ultrasound that was where the estimated due date came from, and that is the best source.
That all said, because she slept with the other guy on the 1st of April, that's uncomfortably close to April 5. I assume it's too early for her to know if the baby is a boy or a girl?
Hi, when I asked "Do you know for sure that the doctor used only the ultrasound measurements of the baby in computing the gestational age?" I meant versus just hearing when her last period was and typing that in, and not using the ultrasound measurements to contradict that information if they did contradict it. It would be fine if only the crown-to-rump measurements were used to give her an estimated number of weeks. Better than if the only thing they used was the first day of her last period.
Do you know any more about when she slept with the other guy? You said the week before you got together, was it for example March 30 or was it April 4?
Yes, you could certainly have gotten pregnant on April 5. When was her first ultrasound, only the one from her 14th week? Or did she have any earlier ones? And was the sex with the guy from the prior week unprotected? Sorry to have to ask, but these are pretty slim margins.
You are correct, by the way, that gestational age counts (the "weeks pregnant") used by doctors begin on an assumed date of the first day of the last period, which calibration is made by the ultrasound machine. Do you know for sure that the doctor used only the ultrasound measurements of the baby in computing the gestational age?
One problem is that if the sex she had in the week before April 5 was unprotected, sperm can live 5-6 days in her system. This could mean that both of you had viable sperm in her body at the same time, on April 5. The other problem is that if the only ultrasound she has had was the one in her fourteenth week, there's a margin for error by now of at least +/- 7 days when trying to use an ultrasound to determine a conception date. That is why I asked if she had any earlier ultrasounds.