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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link=blue vlink=purple style='word-wrap:break-word'><div class=WordSection1><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><div style='border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in'><p class=MsoNormal><b>From:</b> extropy-chat <extropy-chat-bounces@lists.extropy.org> <b>On Behalf Of </b>Giovanni Santostasi via extropy-chat<br><b>Subject:</b> Re: [ExI] Google LaMDA avheives enlightenment<o:p></o:p></p></div><p class=MsoNormal><o:p> </o:p></p><div><div style='mso-element:para-border-div;border:solid #D9D9E3 1.0pt;padding:0in 0in 0in 0in;background:#F7F7F8'><p style='mso-margin-top-alt:0in;margin-right:0in;margin-bottom:15.0pt;margin-left:0in;background:#F7F7F8;border:none;padding:0in'><span style='font-size:12.0pt;font-family:"Segoe UI",sans-serif;color:#374151'>And it can find others maybe by memory but at least these are meaningful answers. ChatGPT: Yes, there are other numbers greater than 1729 that can be expressed as the sum of two cubes in three different ways. Some examples include:<o:p></o:p></span></p></div><div style='mso-element:para-border-div;border:solid #D9D9E3 1.0pt;padding:0in 0in 0in 5.0pt;background:#F7F7F8;margin-left:.25in;margin-right:0in'><ul style='margin-top:0in;box-sizing:border-box;list-style-position:initial;padding:1rem;display:flex;white-space:pre-wrap' type=disc><li class=MsoNormal style='color:#374151;margin-left:-.25in;mso-list:l0 level1 lfo1;background:#F7F7F8;border:none;padding:0in;box-sizing:border-box'><span style='font-size:12.0pt;font-family:"Segoe UI",sans-serif'>4104 = 63^3 + 64^3 = 80^3 + 7^3 = 94^3 + 2^3<o:p></o:p></span></li><li class=MsoNormal style='color:#374151;margin-left:-.25in;mso-list:l0 level1 lfo1;background:#F7F7F8;border:none;padding:0in;box-sizing:border-box'><span style='font-size:12.0pt;font-family:"Segoe UI",sans-serif'>13832 = 98^3 + 27^3 = 123^3 + 1^3 = 153^3 + 2^3<o:p></o:p></span></li><li class=MsoNormal style='color:#374151;margin-left:-.25in;mso-list:l0 level1 lfo1;background:#F7F7F8;border:none;padding:0in;box-sizing:border-box'><span style='font-size:12.0pt;font-family:"Segoe UI",sans-serif'>20683 = 139^3 + 36^3 = 166^3 + 9^3 = 193^3 + 2^3<o:p></o:p></span></li></ul></div><div style='mso-element:para-border-div;border:solid #D9D9E3 1.0pt;padding:0in 0in 0in 0in;background:#F7F7F8'><p style='mso-margin-top-alt:15.0pt;margin-right:0in;margin-bottom:0in;margin-left:0in;background:#F7F7F8;border:none;padding:0in;box-sizing:border-box;white-space:pre-wrap'><span style='font-size:12.0pt;font-family:"Segoe UI",sans-serif;color:#374151'>Note that there are infinitely many numbers that can be represented as the sum of two cubes in multiple ways; these are just a few examples.<o:p></o:p></span></p></div></div><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>OK so what does this mean? ChatGPT gave three wildly incorrect answers, all three of which can be easily seen to be wrong without a calculator in under 3 seconds.<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>So it isn’t a great math guy, or… life form. It can still be great company for people without people.<o:p></o:p></p><p class=MsoNormal><o:p> </o:p></p><p class=MsoNormal>spike<o:p></o:p></p></div></body></html>