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May 7 at 18:21 comment added KConrad @GerryMyerson it was surely Legendre's conjecture of the prime number theorem in the peculiar form $x/(\log x - 1.08366)$.
May 7 at 3:31 comment added Gerry Myerson Would someone please let me know, what exactly was the remarkable formula given by Legendre?
May 6 at 8:26 history edited KConrad CC BY-SA 4.0
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May 6, 2010 at 22:02 comment added José Hdz. Stgo. Guess that's exactly what he was implying when he wrote "a demonstration of the remarkable formula given by Legendre". Nice catch, Professor Stillwell!
Mar 5, 2010 at 6:21 comment added Harry Gindi @John Stillwell: Certainly he never claimed that he proved the PNT, did he?
Mar 5, 2010 at 1:10 comment added John Stillwell So, we have an apparent counterexample to the famous saying of Jacobi: Dirichlet alone, not I, nor Cauchy, nor Gauss knows what a completely rigorous mathematical proof is. Rather we learn it first from him. When Gauss says that he has proved something, it is very clear; when Cauchy says it, one can wager as much pro as con; when Dirichlet says it, it is certain ... Quoted in G Schubring, Zur Modernisierung des Studiums der Mathematik in Berlin, 1820-1840.
Mar 4, 2010 at 23:56 history answered KConrad CC BY-SA 2.5