If you lost your password unable to recover password, need gmail account created date to recover gmail account password, there are two methods to find out gmail account created date.
Method One :
Find Date using Gmail welcome mail, When you created gmail account you will get welcome mail from google team, so find welcome mail's date which is as same as the account created date , find this mail in your gmail inbox just click on Oldest at the last mail, if you have deleted welcome mail from inbox , try second method
Method Two :
Find Correct Date of gmail creation ,
Go to Settings – > Forwarding and POP/IMAP
in Pop Download 1. Status: POP is enabled for all mail that has arrived since
any doubt check in below Screen Shot
