How much can be stripped of a base58 address in a recoverable way?

[Bitcoin]

How much can be stripped of a base58 address in a recoverable way?

Since P2PKH and P2SH addresses use Base58Check_encoding, the 4 byte checksum appended in binary contains some redundancy. Strictly mathematically speaking, those 4 bytes correspond to ca. floor(log(2^32)/log(58)+1) = 6 base58 "digits" (but 6 base58-digits encode 36 bits, i.e. probably only 5 instead of 6 can be omitted). But is this sound? In a 2^n base this would be trivial, but base 58 basically influences all bytes... Is there a recovery algorithm?

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