im interested in volunteering my hardware (last gen zen laptop hardware however ill upgrade to a mining rig if it looks feasible) to the search of #66, #67, etc (whichever is lowest and we know hasnt been solved) or any multiple of 5 (the ones with pubkeys available). I know jack dick about cryptography but currently doing EEE and comp sci at uni so i have at least some fundamental knowledge which makes me better than the circle guy!
There are countless programs built over the years, from Python scripts to C, local, distributed, running on CPU and GPU, to attack the puzzles, and lots of theoretical thoughts and debates on solving this problem, posted in these forums. The only consensus is that it might be (or remain) a very difficult problem to solve, unless you either level up the computing resources to stuff like hundreds of last-gen GPUs (done already), and a few prays since it's all a probability game; or discover / implement some method that is proven to work better than the best currently known, by some smaller or greater margin. But don't expect that kind of knowledge to ever go public before it gets exploited, if ever. I still have a strong feeling that #120 (or at least #125) were not solved by public software, or not without modifications to both the theoretical parameters and the implementation approach. But to understand why, you'll probably get lost in the academic papers published in the last 30 years, maybe you will find some idea of improvements, for which nobody released a public implementation yet