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hash - What is the most secure hashing method? (PHP)

I have just noticed that I have SHA512 in my PHP installation. Is it more secure than SHA1? Is it the most secure hashing method (I need for passwords, not for file integrity checking)?

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In response to @Buddy, speed is not your friend when hashing; the slower the better. If someone is trying to brute force your password, an algorithm that takes a long time will mean the hack will take a long time.


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