tag:blogger.com,1999:blog-7959064.post113285703624021999..comments2021-08-19T02:15:52.443-04:00Comments on Ghostweather R&D Blog: Number FactoidsLynnhttp://www.blogger.com/profile/07445794978319009719noreply@blogger.comBlogger5125tag:blogger.com,1999:blog-7959064.post-1132954506144932762005-11-25T16:35:00.000-05:002005-11-25T16:35:00.000-05:00I confess a serious love of numbers (as evidenced ...I confess a serious love of numbers (as evidenced by listening to a Kate Bush piece http://tingilinde.typepad.com/starstuff/2005/11/wrong_around_th.html ).<BR/><BR/>The list given shows 1729 as the smallest number representable in two ways as a sum of two cubes ... 1^3 + 12^3 = 9^3 + 10^3. Sadly it leaves out the wonderful story of Hardy and Ramanujan. <BR/><BR/>It seems Hardy was in a taxi in London when Hardy noted its number was 1729. When he visited Ramanujan he commented on being disappointed with the number and hoped it wasn't a bad omen. Ramanujan immediately said it was a very interesting number.<BR/><BR/>People refer to Hardy-Ramanujan numbers 1729, 4104 ({2,16], [9,15]) ... an infiniate series.<BR/><BR/>Sometimes these are called Ramanujan doubles, there are triples and quadruples...Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7959064.post-1132890667533958682005-11-24T22:51:00.000-05:002005-11-24T22:51:00.000-05:00steve, that sounds like a math challenge. Find in...steve, that sounds like a math challenge. Find interesting properties for these numbers....Lynnhttps://www.blogger.com/profile/07445794978319009719noreply@blogger.comtag:blogger.com,1999:blog-7959064.post-1132890623291508372005-11-24T22:50:00.000-05:002005-11-24T22:50:00.000-05:00Thank you, anonymous math person! I really like t...Thank you, anonymous math person! I really like that site.Lynnhttps://www.blogger.com/profile/07445794978319009719noreply@blogger.comtag:blogger.com,1999:blog-7959064.post-1132871786372351892005-11-24T17:36:00.000-05:002005-11-24T17:36:00.000-05:00http://mathworld.wolfram.com/VampireNumber.htmlhtt...http://mathworld.wolfram.com/VampireNumber.html<BR/>http://mathworld.wolfram.com/AmicablePair.html<BR/><BR/>Generally, this is a pretty good domain for finding out stuff about math.Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-7959064.post-1132865428368044252005-11-24T15:50:00.000-05:002005-11-24T15:50:00.000-05:00It gets worse... someone pointed out that 152 is t...It gets worse... someone pointed out that 152 is the smallest positive integer without interesting properties <BR/><BR/><BR/>... of course that makes it interesting leaving 167 as the next number without interesting properites... you can bootstrap a sequence <BR/><BR/>152, 167, 173, 179. 185 ...<BR/><BR/>the difference between the second and third, third and fourth, fourth and fifth elements in the series is 6 --- so 666 is embedded in the sequence:-)Anonymousnoreply@blogger.com