Re: Re:Numbers and their reversals

*To*: mathgroup at smc.vnet.net*Subject*: [mg53756] Re: [mg53718] Re:Numbers and their reversals*From*: DrBob <drbob at bigfoot.com>*Date*: Wed, 26 Jan 2005 04:36:59 -0500 (EST)*References*: <200501251003.FAA14366@smc.vnet.net>*Reply-to*: drbob at bigfoot.com*Sender*: owner-wri-mathgroup at wolfram.com

If we restrict ourselves to {2-digit, 3-digit, 4-digit} examples like yours (one of each size), there are a lot of examples with trivial GCD's, not counting simple palindromes. Here are the first and last in a list of 131,759 such triples: {11, 102, 1202} {89, 991, 9987} The divisors are 91 and 11 in those two cases. and ten randomly chosen: {{89, 474, 5554}, {72, 709, 6817}, {15, 488, 7861}, {34, 287, 7611}, {48, 455, 6695}, {23, 463, 4377}, {13, 794, 7764}, {23, 342, 7743}, {23, 661, 7952}, {57, 376, 2891}} with corresponding divisors {{11}, {91}, {11}, {11}, {11}, {11}, {11}, {11}, {11}, {11}} The frequency counts for divisors in the list is: {{130182, 11}, {1577, 91}} My notebook on this is at http://www.eclecticdreams.net/DrBob/Notebooks/omari.nb Bobby On Tue, 25 Jan 2005 05:03:11 -0500 (EST), F. omari <towtoo2002 at yahoo.com> wrote: > > the reason of my previous question to mathgroup was that someone said that he has three weird numbers : 23 , 114 , 6236 > he said that when we arrange these numbers in pairs side by side with the smaller number first , and after that we reverse the pair we will get: > 23114=7*13*254 > 41132=7*13*452 > 236236=7*13*2596 > 632632=7*13*6952 > 1146236=7*13*12596 > 6326411=7*13*69521 > he said that there are no other three numbers like these in all the world. > it happened that pairings of these numbers are a subgroup from many numbers such as: 22, 113, 7227 > Thanks DrBob and Bob Hanlon and all for the in depth analysis and investigations > > > -- DrBob at bigfoot.com www.eclecticdreams.net

**References**:**Re:Numbers and their reversals***From:*"F. omari" <towtoo2002@yahoo.com>