tag:blogger.com,1999:blog-12535639.post111914765357023888..comments2017-03-09T11:25:26.636-08:00Comments on Fermat's Last Theorem: Proof for n=4 using Gaussian IntegersLarry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-12535639.post-372426067378180652010-06-04T02:57:13.869-07:002010-06-04T02:57:13.869-07:00Perhaps λ=1-i should be introduced before the proo...Perhaps λ=1-i should be introduced before the proof starts.<br /><br />Currently following the path through the proof leads you to step (5) in the first linked lemma:<br /><br />(5) We know that λ divides either α or β<br /><br /><br />Which made me think: <br />"What on Earth is λ?"<br /><br />Then you have to dig though the links:<br /><b>i-1 and Fermat's Last Theorem n=4</b><br /><br />Then again to:<br /><b>Gaussian Integers: properties of 1-i</b><br /><br />This just seems to flow wrong.(Although in chronological published order it flows perfectly.)<br /><br />I would suggest introducing the reader to λ through a link to<br /><b>Gaussian Integers: properties of 1-i</b> before the proof of the Thoerem.<br /><br />RobScouse Robhttp://www.blogger.com/profile/00144454830208958210noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-63960697880753807412007-10-01T02:10:00.000-07:002007-10-01T02:10:00.000-07:00"Proof for n=4 using Gaussian Integers""ε * λ^4n *..."Proof for n=4 using Gaussian Integers"<BR/><BR/>"ε * λ^4n * α^4 + β^4 = γ^2 where n ≥ 2"<BR/><BR/>It is obvious that they have different meanings so I'm probably being too pedantic here.<BR/><BR/>:-)Scouse Robhttp://www.blogger.com/profile/00144454830208958210noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-18891357922910851392007-09-30T19:34:00.000-07:002007-09-30T19:34:00.000-07:00Hi Rob,Thanks very much for your comment.I am not ...Hi Rob,<BR/><BR/>Thanks very much for your comment.<BR/><BR/>I am not clear on how "n is used for too many different things." <BR/><BR/>In the proof on this page, n is assumed to have the same value in all cases where it is used.<BR/><BR/>If you provide additional details, I am glad to review the proof and update it as needed.<BR/><BR/>Cheers,<BR/><BR/>-LarryLarry Freemanhttp://www.blogger.com/profile/06906614246430481533noreply@blogger.comtag:blogger.com,1999:blog-12535639.post-36927417160260967762007-09-25T03:04:00.000-07:002007-09-25T03:04:00.000-07:00Perhaps n is used too many times for different thi...Perhaps n is used too many times for different things. <BR/>Could be confusing.<BR/><BR/>Beautiful Proof.<BR/><BR/>Cheers<BR/><BR/>RobScouse Robhttp://www.blogger.com/profile/00144454830208958210noreply@blogger.com