mersenneforum.org Easy Arithmetic
 User Name Remember Me? Password
 Register FAQ Search Today's Posts Mark Forums Read

 2007-03-19, 22:22 #1 davar55     May 2004 New York City 2·2,099 Posts Easy Arithmetic Find three consecutive odd cubes whose sum is a four (decimal) digit number with identical digits.
 2007-03-20, 09:46 #2 davieddy     "Lucan" Dec 2006 England 6,451 Posts I found four candidates, (the four digit numbers being 1197,2403,4257,6903). What am I missing? Last fiddled with by davieddy on 2007-03-20 at 09:46
2007-03-20, 13:14   #3
Mini-Geek
Account Deleted

"Tim Sorbera"
Aug 2006
San Antonio, TX USA

10AB16 Posts

Quote:
 Originally Posted by davieddy I found four candidates, (the four digit numbers being 1197,2403,4257,6903). What am I missing?
I found the same candidates. Are we doing something wrong or did davar55 word the problem wrong?

 2007-03-20, 14:29 #4 Zeta-Flux     May 2003 2×761 Posts Maybe by "consecutive" he meant distinct.
 2007-03-20, 14:37 #5 S485122     Sep 2006 Brussels, Belgium 2·7·113 Posts I did find the same candidates, but changing the problem to 3 consecutive squares I get 5555 = 41^2+43^2+45^2
 2007-03-20, 16:21 #6 davieddy     "Lucan" Dec 2006 England 6,451 Posts That's quite a coincidence. Must be what he meant. Well spotted! Last fiddled with by davieddy on 2007-03-20 at 16:52
 2007-03-20, 17:47 #7 davar55     May 2004 New York City 2·2,099 Posts Mea culpa. I did mean three consecutive odd squares. There's something to be said for repeating a preview before posting. And on such a simply stated problem. Last fiddled with by davar55 on 2007-03-20 at 17:48

 Thread Tools

 Similar Threads Thread Thread Starter Forum Replies Last Post Unregistered Information & Answers 14 2009-10-03 17:52 Uncwilly Puzzles 35 2006-11-15 01:07 fetofs Puzzles 10 2006-11-03 03:29 Mini-Geek Puzzles 3 2006-10-19 17:14 fetofs Puzzles 23 2005-09-08 22:50

All times are UTC. The time now is 17:12.

Sun Oct 25 17:12:01 UTC 2020 up 45 days, 14:22, 1 user, load averages: 1.33, 1.61, 1.75

Powered by vBulletin® Version 3.8.11
Copyright ©2000 - 2020, Jelsoft Enterprises Ltd.

This forum has received and complied with 0 (zero) government requests for information.

Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation.
A copy of the license is included in the FAQ.