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Which Hashing algorithm do you work with

Which Hashing Algorithm Do you think is cool for password on a database.

A friend told me to go with sha256 but I think bcrypt is cool because of the slowness and been slow gives rainbow table headache.

Which Hashing algorithm do you use and what do you think about it.
Even sha256 is insane and will not be cracked, like ever. But if you wanna go balls to the walls go sha512
Thank you stetsed I really appreciate, I will try out sha512
Unsalted hashes are not secure for a password database, doesn't matter their output length. An attacker could use rainbow tables or even just identify identical passwords at a glance.
You can salt the passwords on your own and use something of the sha2 family, but you're still sacrificing both your own comfort (by taping together an ad-hoc solution) and your users' security by not using a strong password-hashing function (one that takes time and memory to compute).


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