For a primary key of an integral type, why is it important to avoid gaps?

Question

I am generating a surrogate key for a table & due to my hi/lo algorithm, everytime you reboot/restart the machine, gaps may appear.

T1: current hi = 10000000         


        

Answer 1

From a primary key or indexing internals perspective, why is it important that there be no gaps in the sequences?

It's not important - what lead you to believe it was?
All that matters with the primary key is that it is unique to all the data in the table. Doesn't matter what the value is, or if the records before and after are sequencial values.