December 2002
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This month's puzzle comes from S V Nagaraj.
Find four distinct integers a,b,c,d such that
100 <= a,b,c,d <= 12000 and the sum of "all" the four of them
and the sum of "every" two of them are perfect squares.
(That is, a+b, a+c, a+d, b+c, b+d, c+d, and a+b+c+d are all
squares of integers.)
We will post the names of those who submit a correct, original solution! If you don't want your name posted then please include such a statement in your submission!
We invite visitors to our website to submit an elegant solution. Send your submission to the ponder@il.ibm.com.
If you have any problems you think we might enjoy, please send them in. All replies should be sent to: ponder@il.ibm.com
Challenge:
12/02/2002 @ 10:30 AM EST
Solution:
01/06/2003 @ 10:30 AM EST
List Updated:
12/02/2002 @ 10:30 AM EST
People who answered correctly:
Wu Zheng (12.02.2002@11:53:29AM EST)
Kennedy (12.02.2002@01:40:24PM EST)
Paul D Reiners (12.02.2002@02:39:50PM EST)
Andrew Scherbakov (12.02.2002@03:16:16PM EST)
Nikos P. Pitsianis (12.02.2002@03:01:18PM EST)
Alex Wagner (12.02.2002@03:23:23PM EST)
Michael Brand (12.02.2002@03:40:00PM EST)
Ken Crounse (12.02.2002@03:43:18PM EST)
Richard Fateman (12.02.2002@04:56:00PM EST)
Dean M Starrett (12.02.2002@04:48:18PM EST)
Greg Asta Villagenet (12.02.2002@06:34:00PM EST)
Jay Patrick Howard (12.02.2002@07:17:50PM EST)
Adrian Atanasiu (12.02.2002@08:34:12PM EST)
Daniel Wood (12.02.2002@08:36:04PM EST)
Ling Li(12.02.2002@08:44:17PM EST)
Michal Sramka (12.02.2002@09:01:10PM EST)
Mitchell Kaplan (12.02.2002@09:25:16PM EST)
Luke Pebody (12.02.2002@11:07:34PM EST)
Ajay Reddy Mallepally (12.02.2002@11:26:55PM EST)
Sudipta Das (12.03.2002@12:17:13AM EST)
Ibrahim Okuyucu (12.03.2002@12:23:08AM EST)
John Ritson (12.03.2002@01:22:43AM EST)
Itsik Horovitz (12.03.2002@01:55:50AM EST)
Cristian Mocanu (12.03.2002@03:24:58AM EST)
Ranjith Jayaraman (12.03.2002@04:11:11AM EST)
Gyora Benedek (12.03.2002@04:22:53AM EST)
Dave Biggar (12.03.2002@06:39:33AM EST)
Andrew Rose (12.03.2002@06:56:58AM EST)
Sorin OSTAFIEV (12.03.2002@07:44:40AM EST)
Steve Horvath (12.03.2002@08:09:07AM EST)
Vladimir Farushev (12.03.2002@09:28:30AM EST)
Marko Vogrin (12.03.2002@09:42:32AM EST)
Anne Riou (12.03.2002@10:12:49AM EST)
Michael Swart (12.03.2002@10:13:02AM EST)
Alan O'Donnell (12.03.2002@10:17:12AM EST)
Taku Tamagawa (12.03.2002@11:23:11AM EST)
David Auclair (12.03.2002@11:51:23AM EST)
Divyesh Dixit (12.03.2002@01:50:49PM EST)
Daniel Bitin (12.03.2002@11:58:27AM EST)
Philippe Sartori (12.03.2002@02:09:38PM EST)
Chetan K Kamat (12.03.2002@02:17:49PM EST)
JP Sugarbroad (12.03.2002@02:39:14PM EST)
Frank Vernaillen (12.03.2002@02:43:35PM EST)
Pascal Brisset (12.03.2002@03:11:25PM EST)
Kozma Laszlo (12.03.2002@03:31:43PM EST)
Joshua Fender (12.03.2002@03:31:43PM EST)
Limin Zhang (12.03.2002@03:45:05PM EST)
George Gemelos (12.03.2002@03:47:10PM EST)
Eric Blau (12.03.2002@04:16:15PM EST)
Hazem D. Elmeleegy (12.03.2002@04:25:10PM EST)
Andrew S Jones (12.03.2002@04:29:01PM EST)
Suresh Ramakrishnan (12.03.2002@04:48:18AM EST)
Palpha (12.03.2002@05:31:36PM EST)
Onno Waalewijn (12.03.2002@05:32:15AM EST)
Karl D'Souza (12.03.2002@05:55:00PM EST)
Chris Shannon (12.03.2002@06:58:02PM EST)
Ryan Shelton (12.03.2002@07:19:12PM EST)
Christopher Yao (12.03.2002@07:50:46PM EST)
Liu Jianjun (12.03.2002@07:51:14PM EST)
Pradeep S Bhatt (12.03.2002@11:06:43PM EST)
Rok Jamnik (12.04.2002@02:12:12AM EST)
Ravish Hebbar (12.04.2002@09:22:16AM EST)
Nick Kleszczewski (12.04.2002@10:42:24AM EST)
Cosmin Arad (12.04.2002@12:25:03PM EST)
Mark Buisseret (12.04.2002@12:32:22PM EST)
Sriram K. Rallabhandi (12.04.2002@02:50:00PM EST)
John H Lister (12.04.2002@03:02:18PM EST)
Peter Bennett (12.04.2002@03:14:00PM EST)
Christopher Howe (12.04.2002@03:38:59PM EST)
Josh Horwich (12.04.2002@04:05:02PM EST)
Mrinalini T. Chaturvedi (12.04.2002@04:43:45PM EST)
LALJI JETHA (12.04.2002@05:08:20PM EST)
Jack Rouse (12.04.2002@05:45:15PM EST)
Michael Malak (12.04.2002@06:07:51PM EST)
Alexandr Andoni (12.04.2002@06:16:35PM EST)
Lizhao Zhang (12.04.2002@06:30:59PM EST)
Daniel Clymer (12.04.2002@07:04:52PM EST)
Maxim G. Smith (12.04.2002@11:13:27PM EST)
Ion Ilici Iliescu (12.05.2002@:34:35AM EST)
Stephen Martin (12.05.2002@04:12:39PM EST)
Shriram Bharath (12.05.2002@05:25:12PM EST)
Shandor Romano (12.05.2002@05:40:30PM EST)
Praveen Jain (12.05.2002@08:18:58PM EST)
Christie Bolton (12.05.2002@08:32:46PM EST)
Gil Better (12.05.2002@08:54:29PM EST)
Nikhil Sahasrabudhe (12.05.2002@08:58:21PM EST)
Thomas Fasselt (12.05.2002@09:49:00PM EST)
Anoob backer (12.05.2002@09:59:09PM EST)
Andrew D. Portnoy (12.06.2002@01:12:52AM EST)
Kresimir Kraljevic (12.06.2002@02:58:46AM EST)
Clive Tong (12.06.2002@03:38:58AM EST)
Hagen von Eitzen (12.06.2002@03:58:43AM EST)
Dan FLORESCU (12.06.2002@06:13:14AM EST)
Ziga Hajdukovic (12.06.2002@06:38:15AM EST)
Becker Patric (12.06.2002@09:48:22AM EST)
Jonathan Wildstrom (12.06.2002@09:55:20AM EST)
Girometta Umberto (12.06.2002@10:19:53AM EST)
Tim Deegan (12.06.2002@11:18:54AM EST)
Satish C Gupta (12.06.2002@11:29:12AM EST)
Francois Galilee (12.06.2002@12:02:00AM EST)
Deepu Sebastian Joseph (12.06.2002@12:42:44PM EST)
Eric Cope (12.06.2002@01:27:02PM EST)
Leonardo Sobral Cunha (12.06.2002@02:53:21PM EST)
Gaurav Agrawal (12.06.2002@02:54:38PM EST)
R.Nandakumar (12.07.2002@08:21:35AM EST)
Narayanan Rajamani (12.07.2002@10:02:55AM EST)
Vince Lynch (12.07.2002@11:35:56AM EST)
Abhinav Kumar (12.07.2002@01:01:22PM EST)
Mark Michell (12.07.2002@02:41:58PM EST)
Tony Tong (12.07.2002@11:47:59PM EST)
Shmuel Spiegel (12.08.2002@12:10:47AM EST)
Ignacio Larrosa Cañestro (12.08.2002@05:44:43PM EST)
Kapil K Jain (12.09.2002@12:13:54AM EST)
Roger Duthie (12.09.2002@06:16:29AM EST)
Turgay Yüktaş (12.09.2002@07:50:08AM EST)
Mark S Dettinger (12.09.2002@07:25:16AM EST)
Al Zimmermann (12.09.2002@10:09:51AM EST)
Florian Hammerschmidt (12.09.2002@10:47:20AM EST)
Richard Shamblin (12.09.2002@11:17:33AM EST)
Suryaprasad Kareenahalli (12.09.2002@01:31:23PM EST)
Manikandan.B.J. (12.09.2002@03:32:19AM EST)
Joseph R. Chadwick (12.09.2002@03:54:15AM EST)
Carsten Frehr (12.10.2002@05:55:15AM EST)
Jan van Delden (12.10.2002@06:43:02AM EST)
Sandeep Menon (12.10.2002@08:39:17AM EST)
Lon-Bin Chen (12.10.2002@10:21:19AM EST)
Ariel Scolnicov (12.10.2002@11:26:43AM EST)
Francis Golding (12.10.2002@11:43:52AM EST)
Anupam Gupta (12.10.2002@02:45:36PM EST)
Louis P. Slothouber (12.10.2002@04:18:51PM EST)
John Sweet (12.10.2002@05:38:15PM EST)
Alex Druyan (12.10.2002@06:18:27PM EST)
Chris Dutchyn (12.10.2002@08:09:48PM EST)
Vinko Marinkovic (12.10.2002@10:42:42PM EST)
Vivek Malviya (12.11.2002@03:22:03AM EST)
Peter Huggins (12.11.2002@09:13:58AM EST)
Pasumarthi Satyanarayana (12.11.2002@12:53:58PM EST)
Thomas Zheng (12.11.2002@01:07:16PM EST)
Manish Kumar Singh (12.12.2002@02:33:09AM EST)
Subramanian (12.12.2002@05:34:37AM EST)
Ryan Krafft (12.12.2002@05:38:12AM EST)
Roy Murphy (12.12.2002@10:42:20AM EST)
Nickolay Moshkin (12.12.2002@12:15:41PM EST)
Mikhail Korolik(12.12.2002@01:18:40PM EST)
Juha Jäykkä (12.13.2002@06:59:00AM EST)
Amin A Ahmad (12.13.2002@03:40:05AM EST)
Wei Liu (12.13.2002@01:21:18PM EST)
Lance Gay (12.13.2002@05:41:26PM EST)
Henning Schmidt (12.13.2002@06:21:16PM EST)
Tristan Smith (12.13.2002@07:37:31PM EST)
Keval Mehta (12.14.2002@06:34:36PM EST)
Chirag Mehta (12.14.2002@06:34:36PM EST)
Osnat & Nitsan (12.14.2002@09:17:40AM EST)
Tal Weiss (12.15.2002@01:49:04AM EST)
Ted Langreck (12.15.2002@05:05:45AM EST)
Sameer Pawanekar (12.15.2002@06:06:14AM EST)
Joaquim Carrapa (12.15.2002@02:07:03PM EST)
Georg Wille (12.16.2002@04:59:08AM EST)
Tejas Iyer (12.16.2002@03:22:53PM EST)
The Moyer Family (12.16.2002@05:52:44PM EST)
Najam-ul Haq (12.17.2002@01:52:02PM EST)
Bin Wang (12.17.2002@08:00:00PM EST)
Yuvraj Singh Dhillon (12.18.2002@02:20:49PM EST)
Paweł Romanko (12.18.2002@03:22:21PM EST)
Stephen E. F. Villee (12.18.2002@09:11:25PM EST)
Frank Fisselbrand (12.19.2002@07:19:27AM EST)
Jose Coelho (12.19.2002@06:19:20PM EST)
Zhang Jian (12.20.2002@01:57:21AM EST)
Stephen Oman (12.20.2002@05:41:50AM EST)
Carlos Oliveira (12.20.2002@07:31:04AM EST)
Dustin Lee (12.20.2002@11:11:08AM EST)
Amos Guler (12.22.2002@12:09:09PM EST)
Mihai Cioc (12.22.2002@08:48:49PM EST)
Alan Lemm (12.23.2002@06:26:48PM EST)
Hassan Masum (12.23.2002@11:41:44PM EST)
Nachiket Bapat (12.23.2002@12:37:35PM EST)
Juan Emmanuel Martínez Ledesma (12.24.2002@02:40:34AM EST)
Frank Verelst (12.24.2002@07:55:26AM EST)
Alex Kennberg (12.25.2002@11:32:09AM EST)
Karthik Kothandaraman (12.26.2002@10:33:23PM EST)
Troels Nørgaard (12.27.2002@09:38:16AM EST)
Sauraj Goswami (12.27.2002@07:47:29AM EST)
P. B. Tiwari (12.28.2002@01:46:13AM EST)
Giovanni Boneschi (12.29.2002@05:12:02AM EST)
Henk-Jan de Jong (12.29.2002@03:30:18PM EST)
Bill Webb (12.30.2002@01:07:37AM EST)
Mustafa Yucel (12.30.2002@04:50:13PM EST)
Peter Whiting (12.31.2002@04:31:55PM EST)
Vishal Mamania (01.01.2003@11:40:34AM EST)
Ferhat Bingol (01.01.2003@07:05:18PM EST)
Jean-Pierre Battaille (01.02.2003@11:36:49AM EST)
Denis Borris (01.02.2003@03:21:51PM EST)
Neil Fernandez (01.05.2003@03:25:45PM EST)
Thad Meyer (01.05.2003@10:16:18PM EST)
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