Babbage problem

This could certainly be written more concisely. Extra verbiage is included to make the process more clear.

# For all positive integers from 1 to Infinity
for 1 .. Inf -> $integer {
    
    # calculate the square of the integer
    my $square = $integer²;
    
    # print the integer and square and exit if the square modulo 1000000 is equal to 269696
    print "{$integer}² equals $square" and exit if $square mod 1000000 == 269696;
}

Output:

25264² equals 638269696

More concisely (but clear enough to allow Mr. Babbage to understand what's going on?):

.say and exit if $_²  % 1e6 == 269696 for ^∞;

Output:

25264

Notice that `exit` ends the process itself instead of ending just the loop, as `last` would. `exit` would arguably be easier to understand for Babbage though, so it may better fill the task requirement.