It's probably worth you and your boyfriend watching a YouTube video on the fertility cycle and how dating of a pregnancy works?
We assume for the purposes of dating in the early stages that everyone has a 'typical' cycle - 28 days between periods.
Day 1 of your cycle is the first day your period starts - what you'll see referred to as LMP.
In this assumed cycle ovulation takes place around day 14 - two weeks after the start of your last period.
The egg released at ovulation typically only survives about 24 hours, so if it's not fertilised at this point then it's flushed out. Sperm can survive for up to 5 days so days 10-15 would be the days you can get pregnant (if you have a 'textbook' cycle).
If the egg is fertilised then it usually implants about 6-8 days later, it's only after this that it can be picked up on a test.
But.. it's hard to know exactly when ovulation happens and not all cycles follow the same pattern, ovulation testing is still fairly new - so we 'date' a pregnancy in the early stages counting from the first day of the last period. So it's correct, in the first two weeks you're not actually pregnant.
So if you're measuring 6 weeks, the conception would have typically happened 4 weeks earlier.
Presumably you know you didn't get pregnant 6 weeks ago as you'd have been on your period?
There are lots of good educational videos out there so definitely recommend you both watching one.