Your value is 2**53-1, not because it's the biggest 32bit Integer value, but because Perl automatically swaps to floating point with a 53 bit mantissa if the 32 bits are exceeded (see
Double-precision floating-point format and
perlnumber )
The max value for 64 bit representation will be about 2**63-1, because you need one bit for the sign in signed integers.
This has already been discussed many times.
NB: all values probably off by one, (UPDATED -1 because one slot will be occupied by zero.)
I'm not going to look up the correct values for you, if you're too lazy¹ to supersearch or Google, so am I.
FWIW:
Your linear search is not terribly clever, use a binary search and you'll have finished before pronouncing the s in stupid.
¹) quote:
> "stored in IEEE-754 format internally. Whatever that means."
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