The problem still occurs with the latest IO::Socket::SSL (2.016) on Windows 8.1. 
C:\Users\Jason\Development>cpan install IO::Socket::SSL
CPAN: Term::ANSIColor loaded ok (v4.03)
CPAN: Storable loaded ok (v2.51)
Reading 'C:\Perl64\cpan\Metadata'
  Database was generated on Tue, 21 Jul 2015 05:41:02 GMT
CPAN: Module::CoreList loaded ok (v5.20150720)
IO::Socket::SSL is up to date (2.016).

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In reply to Re^2: LWP not working with HTTPS protocol by Anonymous Monk
in thread LWP not working with HTTPS protocol (SOLVED) by CountZero

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