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I've generated a private key using vanitygen command by:

$ ./vanitygen 11
Difficulty: 256
Pattern: 11                                                                    
Address: 114beUkusDnzqxif5BbESZMNo6T5N27...
Privkey: 5JeApQGQCCEp1K3rjXr8vDcEWMFw2Agzj2YZnN51zZC37Sw7...

Is it possible to convert a generated Privkey to BIP39 mnemonic words or entropy (hex)?

As the app/wallet which I'm using only accept BIP39 mnemonic words to import a wallet and I would like to create a wallet using a vanitygen utility.

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So far as I know this isn't possible.

The mnemonic phrase is hashed to get a seed number. Hashing algorithms are one-way algorithms.

See BIP39

To create a binary seed from the mnemonic, we use the PBKDF2 function with a mnemonic sentence (in UTF-8 NFKD) used as the password and the string "mnemonic" + passphrase (again in UTF-8 NFKD) used as the salt. The iteration count is set to 2048 and HMAC-SHA512 is used as the pseudo-random function. The length of the derived key is 512 bits (= 64 bytes).

This seed can be later used to generate deterministic wallets using BIP-0032 or similar methods.


Related:

is PBKDF2 reversible?

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