This can be done in Access, and it's not too difficult. You would store each of those lines as several rows in the same table, like this:
Code:
tbl_PN
Pers Num
Ana 1
Ana 5
Ana 17
Ana 21
Ana 13
Ana 35
Laura 2
Laura 4
Laura 1
Laura 17
Laura 3
Laura 9
Manuel 37 etc
Then, you would code a query something like this:
Code:
SELECT Num, COUNT(*)
FROM tbl_PN
WHERE (Pers = "Ana" OR Pers = "Laura" OR Pers = "Manuel")
GROUP BY Num
HAVING COUNT(*) = 3;
That query gets you all the Numbers that have been chosen by those three people.
Once that is working, you could build a form that allows you to pick the three people, and builds and runs the query for them.
If you wanted all possible combinations of three people, I'd probably design a trickier way, based on number theory, but this one would work for any one combination of three.