IBM Research | Ponder This | March 2000 challenges

# Ponder This

## March 2000

<<February March April>>

Ponder This Challenge:

Let's borrow notation from LaTeX and let "^" denote exponentiation, so that x^2 means "x squared".

Consider the numbers 1233 = 12^2 + 33^2, and 990100 = 990^2 + 100^2.

Can you find an eight-digit number N with the same property, namely that if you break N into two four-digit numbers B and C, and add their squares, you recover N?

(N really has to have eight digits; its leading digit is not zero. B is the number formed by the first our digits of N, and C is the number formed by the last four digits of N.)

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: 03/01/2000 @ 9:00 AM EST
Solution: 03/31/2000 9:00 AM EST
List Updated: 04/04/2000 12:00 PM EST

Jay Patrick Howard (3.2.2000 @ 3:51 PM EST)
Greg Xu (3.2.2000 @ 3:51 PM EST)
Muppala Suresh (3.2.2000 @ 4:02 PM EST)
S. Muralidhar (3.2.2000 @ 4:46 PM EST)
Ziad Mokhtar (3.2.2000 @ 5:52 PM EST)
Alamuru Krishna (3.2.2000 @ 6:49 PM EST)
James Chan (3.2.2000 @ 10:47 PM EST)
Pramod G Joisha (3.2.2000 @ 10:49 PM EST)
Joseph DeVincentis (3.2.2000 @ 11:20 PM EST)
Josh Horwich (3.3.2000 @ 12:02 AM EST)
Dr. Ludger Weber (3.3.2000 @ 5:36 AM EST)
Arno Wagner (3.3.2000 @ 8:08 AM EST)
Ed Severn (3.3.2000 @ 8:37 AM EST)
msk (3.3.2000 @ 1:55 PM EST)
Lawrence T. Hoff (3.3.2000 @ 2:13 PM EST)
Jessica Lang Jones (3.3.2000 @ 2:47 PM EST)
Dave Bragg (3.3.2000 @ 3:27 PM EST)
Youngchul Park (3.3.2000 @ 4:57 PM EST)
John Lister (3.3.2000 @ 4:59 PM EST)
Dean Flatt (3.3.2000 @ 5:36 PM EST)
Steve Plate (3.3.2000 @ 7:56 PM EST)
Dave Biggar (3.3.2000 @ 11:26 PM EST)
Youssif A. Mohammed (3.4.2000 @ 10:53 AM EST)
Adel S. El-Atawy (3.4.2000 @ 12:56 PM EST)
Walt Gribben (3.4.2000 @ 8:56 PM EST)
G.Sethuraman (3.4.2000 @ 11:00 PM EST)
Edward Lee (3.4.2000 @ 11:20 PM EST)
Bill Magaletta (3.5.2000 @ 5:07 AM EST)
Philippe Fondanaiche (3.5.2000 @ 5:26 PM EST)
Dave Streek (3.6.2000 @ 5:07 AM EST)
Dan Peleg (3.6.2000 @ 6:52 AM EST)
Jose F. Martinez (3.6.2000 @ 12:29 AM EST)
Peter Huesken (3.6.2000 @ 11:08 AM EST)
Amos Guler (3.6.2000 @ 1:52 PM EST)
Bjørn-Ove Heimsund (3.6.2000 @ 3:00 PM EST)
Kishore Gangwani (3.6.2000 @ 5:20 PM EST)
Michael Bogomolny (3.6.2000 @ 5:21 PM EST)
Tom Kauffman (3.6.2000 @ 9:53 PM EST)
Al Zimmermann (3.6.2000 @ 11:07 PM EST)
Chris West (3.6.2000 @ 11:32 PM EST)
S V Nagaraj (3.6.2000 @ 11:28 PM EST)
K V Manjunath (3.7.2000 @ 1:00 AM EST)
Ruth Christie (3.7.2000 @ 9:06 AM EST)
Mihai Cioc (3.7.2000 @ 5:06 PM EST)
Hazem Diaa (3.7.2000 @ 5:18 PM EST)
Ted Carson (3.7.2000 @ 6:31 PM EST)
Jimmy Hu (3.7.2000 @ 7:33 PM EST)
Scott Lake (3.7.2000 @ 9:03 PM EST)
Richard Hoffman (3.8.2000 @ 9:12 AM EST)
S.V. Nagaraj (3.8.2000 @ 9:25 AM EST)
Shmuel Spiegel (3.8.2000 @ 2:30 PM EST)
Maria Elena Martinez (3.8.2000 @ 2:39 PM EST)
Greg P. Andrews (3.8.2000 @ 4:59 PM EST)
Akil Woolfolk (3.9.2000 @ 9:50 AM EST)
Gus Koumarelas (3.9.2000 @ 12:20 PM EST)
Anil K Sharma (3.9.2000 @ 1:04 PM EST)
Timur Linde (3.9.2000 @ 5:19 PM EST)
Ewen Cheslack-Postava (3.9.2000 @ 9:53 PM EST)
Duncan E Holley (3.10.2000 @ 3:59 AM EST)
Bruce Hoff (3.10.2000 @ 2:38 PM EST)
Hector Ferazza (3.10.2000 @ 5:49 PM EST)
Todd Sproull (3.10.2000 @ 6:56 PM EST)
Preeti Kelkar (3.10.2000 @ 7:17 PM EST)
Tat Sang Fung (3.13.2000 @ 3:56 PM EST)
Brad Long (3.14.2000 @ 2:49 AM EST)
Nicusor Timneanu (3.15.2000 @ 3:43 AM EST)
Brian Peltzer (3.15.2000 @ 9:40 AM EST)
Peter Daniel Kirchner (3.15.2000 @ 11:30 AM EST)
Howard Kaye (3.15.2000 @ 5:33 PM EST)
Mani Srinivasan (3.15.2000 @ 7:18 PM EST)
Dmitry O. Gorodnichy (3.15.2000 @ 7:55 PM EST)
David Auclair (3.15.2000 @ 9:41 PM EST)
Christopher James Henke (3.15.2000 @ 11:25 PM EST)
Sanjay Sharma (3.16.2000 @ 12:08 PM EST)
James Chapman (3.16.2000 @ 9:08 AM EST)
Ion (John) Munteanu (3.16.2000 @ 10:40 AM EST)
Randy Heisch (3.16.2000 @ 11:30 AM EST)
Shekhar Borkar (3.16.2000 @ 6:41 PM EST)
Bart Addis (3.16.2000 @ 1:33 PM EST)
Theppitak Karoonboonyanan (3.16.2000 @ 11:28 PM EST)
Brett Maune (3.19.2000 @ 10:44 PM EST)
Peter Berghmans (3.20.2000 @ 4:03 PM EST)
David Ralston (3/20 at 8:28 PM EST)
John J Scott (3/21 at 5:40 AM EST)
Devin Henson (3/21 at 10:19 PM EST)
David Becht (3/23 at 1:18 AM EST)
Paul Van den Keybus (3.24.2000 @ 10:59 PM EST)
Mingzhou Song (3.26.2000 @ 2:48 AM EST)
Frans Buijsen (3.27.2000 @ 8:47 AM EST)
Greg Bunker (3.28.2000 @ 8:10 AM EST)
Damian Hazen (3.28.2000 @ 8:38 AM EST)
Sam Warnock (3.29.2000 @ 10:42 PM EST)
Bill Padt (3.30.2000 @ 9:04 PM EST)
Jeff Ford (3.30.2000 @ 3:50 PM EST)
Vidya Sagar (3.31.2000 @ 6:25 AM EST)
Mick Legare (3.31.2000 @ 2:00 PM EST)
Stefan P. Hau-Riege (3.31.2000 @ 2:18 PM EST)
Daniel Preda (3.31.2000 @ 7:36 PM EST)
Omer Yagel (4.01.2000 @ 9:04 PM EST)
Oren Fromberg (4.02.2000 @ 8:48 PM EST)

Attention: If your name is posted here and you wish it removed please send email to the ponder@il.ibm.com.