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Thanks for your question.
You are registered on the child's birth certificate as their father with the consent of the mother then you acquired PR at that point (s4(1)(a) Childrens Act 1989. Unless there was a Court order made pursuant to your divorce (or in other family proceedings) which ended your PR then it will continue.
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I'm terribly sorry I misread the date.
Yes, you would not have acquired at the time of birth but would have acquired it upon marrying the mother. You would not have lost it in divorcing unless there was a court order to the contrary.
Sorry for the oversight.