Unless you have an array containing billions of uids, I'd do (untested): 
my @uids = ....;   # List of used UIDs
my %uids; @uids{@uids} = ();
my $uid = 1001;
{$uid++, redo if exist $uids{$uid}}
say "First unused uid: $uid";

[download]
It doesn't actually need the list to be sorted.

Alternatively, you can make use of the fact the list is sorted (again, untested): 

my @uids = ....;  # List of sorted uids
my $uid = 1001;
for (my $i = 0; $i < @uids; $i++) {
    next if $uids[$i] < $uid;
    last unless $uids[$i] == $uid;
    $uid++;
}
say "First unused uid: $uid";

[download]
Note that the latter algorithm isn't Perl specific, and can be trivially ported to many general purpose languages.

In reply to Re: Next unused sequential number by JavaFan
in thread Next unused sequential number by Anonymous Monk

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.