Thank you for the answer.

as i understood, if my target is #130 and i have the private key, at the same time as importing to my wallet, looters will also start working,
but considering the range of the private key that they want to brute force and the time they spend on it, definitely "My transaction will be confirmed sooner and they or other bots don't stand a chance.

is it correct?

i don't know if there is anyone here who has solved one of Satoshi's puzzles or not.

but let us
suppose we can find the private key of a puzzle.
will this key be enough to import the btc in a new wallet (like Electrum)??

or, in addition to the private key, will a two-step verification or multi-signature or something like this, be required?

ok.
thank you for your response.
i will take a look.

ok.
brute forcing private keys of a btc ddress may take less than public keys but some codes need to work with pubkeys...
for example , keyhunt in bsgs mode, works faster than other tools in this case.
so this tool has an input file or single pubkey to work on it and find the privatekey .

Now for these puzzles (that have no output transactions) we have no pubkeys and we can not use bgsg mode of keyhunt.
is this correct ??

thanks for your response.

if we have a transaction like this :
https://www.blockchain.com/explorer/addresses/btc/13zb1hQbWVsc2S7ZTZnP2G4undNNpdh5so

then we have just input in this wallet address but we do not see any output from wallet,
so we can not gain any 130 or 66 character pubkey from sigscript.

we have only pkscript like this :
Pkscript
OP_DUP
OP_HASH160
20d45a6a762535700ce9e0b216e31994335db8a5
OP_EQUALVERIFY
OP_CHECKSIG

i want to ask you ,
 if we have only HASH160 then How to findout publickey (comprssd or uncomprssd) for that address ??