Here's a question I'm hoping my readers will help out with. It seems that every week someone comes out with a "proof" that P=NP, and only slightly less frequently that P!=NP. Most of these are written by amateurs who don't even understand the problem.
Have there been any attemps by reputable mathematicians to resolve the issue? Lindenmann had produced several flawed proofs of Fermat's last theorem a century before Wiles got it right, and he was certainly no amateur. Does anyone know of any credible proof attempts, with subtle, nontrivial mistakes?