"Keith F. Lynch" <kfl@KeithLynch.net> wrote in message news:firstname.lastname@example.org... > As of today, the non-disclosure agreement is expired, so I can share > the good news. I have won the Clay math prize for disproving the > Riemann Hypothesis. > > There have been numerous attempts to disprove it over the centuries, > by finding a non-trivial zero of the Riemann zeta function that's off > the critical line. Many of these attempts were ill-fated. > > Recent archeological investigation proves that this is the problem > Archimedes was working on when he was killed by a Roman soldier. > It's not known how far he got. > > The next known attempt was by John Dee in the 16th century. He built > a primitive mechanical calculator with which he checked all the zeros > with a height up to 100. Since calculation was then held to be the > exclusive domain of man, he was burned at the stake for sorcery. > > As is well known, this was the problem Babbage built his Difference > Engine to work on. It ran for over a year, and tested all zeros up > to a height of 1000 before he got impatient and increased the steam > pressure to speed up the calculation. This was a mistake. Not only > did he narrowly escape death from the resulting steam explosion that > destroyed his machine, but he was investigated for wasting taxpayer > money. They took that very seriously in those days. If not for his > many influential friends, he would have been transported to the prison > colony in Australia. As it was, he never worked again. > > Alan Turing was driven to suicide by the investigation into whether > he surreptitiously diverted the efforts of Bletchley Park away from > breaking German ciphers into working on this problem instead. It was > claimed that if not for his unauthorized hobby, the war could have > been won a year earlier. He could have been hanged for treason. For > what it's worth, he denied his guilt and claimed that the diversion > was the work of a German mathematician on his staff, Riemann's > grandson. What is known is that as the Axis U-boats and Japanese > Zeros rampaged unchecked, it was confirmed that there were no > off-axis zeros up to a height of 10,000. > > Most recently, taking advantage of the lowered security due to > the sequester layoffs, a hacker named A.F. Day "pwned" NSA's main > supercomputer center and used it to check up to a height of 100 > trillion. He has been sent to Guantanamo, and is expected to remain > imprisoned there for the remainder of his life. There will of course > be no trial. > > So how did I accomplish what none of these people did? I don't have > access to supercomputers. I realized that nobody had ever checked the > zeros *below* the real number line. Using a TRS-80 I found in the > trash, I soon found an off-axis zero at approximately 0.0104 - 4.01 i. > my Color BASIC program took just 0.41 seconds to run.
there are no Trash-80s that run anymore, Y2K took them all out, smoked them.