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Ponder This

February 2013

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Ponder This Challenge:

James Tanton tweeted ( https://twitter.com/jamestanton/status/293127359291330561) that "16 and 9 are each square numbers, and putting them together, 169, gives another square" and he then asked for other examples.

Our challenge this month is to find integers x, y, and z such that concatenating x^2 and y^2 gives z^2, and that z has at least four consecutive nines.

Update 2/6: the challenge stating that x,y and z should be non-zero.


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 webmaster.

If you have any problems you think we might enjoy, please send them in. All replies should be sent to: webmster@us.ibm.com

  

Challenge: 02/01/2013 @ 01:00 PM EST
Solution: 03/01/2013 @ 01:00 PM EST
List Updated: 02/01/2013 @ 01:00 PM EST

People who answered correctly:

Joseph DeVincentis (02/01/2013 01:44 PM EDT)
Adel El-Atawy (02/01/2013 02:04 PM EDT)
Dennis Langdeau (02/01/2013 03:17 PM EDT)
Kevin Bauer (02/01/2013 03:33 PM EDT)
Donald Dodson (02/01/2013 03:35 PM EDT)
Martin Husar (02/01/2013 03:36 PM EDT)
Sergey Grishaev (02/01/2013 03:59 PM EDT)
Peter Gerritson (02/01/2013 04:07 PM EDT)
Markus von Rimscha (02/01/2013 04:07 PM EDT)
Vladimir Sedach (02/01/2013 04:27 PM EDT)
Stéphane Higueret (02/01/2013 05:20 PM EDT)
Todd Will (02/01/2013 05:33 PM EDT)
Bartosz Budzanowski (02/01/2013 05:51 PM EDT)
Rudy Cortembert (02/01/2013 05:54 PM EDT)
Deane Stewart (02/01/2013 05:59 PM EDT)
Anders Kaseorg (02/01/2013 06:36 PM EDT)
Sunil Srivastava (02/01/2013 07:21 PM EDT)
Deron Stewart (02/01/2013 11:32 PM EDT)
Radu-Alexandru Todor (02/01/2013 10:51 PM EDT)
Andrey Stepin (02/02/2013 12:47 AM EDT)
Alex Wagner (02/02/2013 02:43 AM EDT)
Oleg Zlydenko (02/02/2013 04:35 AM EDT)
Leandro Araújo
(02/02/2013 07:15 AM EDT)
Tony Harrison (02/02/2013 09:07 AM EDT)
Mark Stuckel (02/02/2013 10:35 AM EDT)
Hakan Summakoglu (02/02/2013 11:30 AM EDT)
Jesus Sanz (02/02/2013 12:48 PM EDT)
Klaus Müller (02/02/2013 12:57 PM EDT)
Řyvind Grotmol (02/02/2013 02:21 PM EDT)
Andreas Stiller (02/02/2013 06:13 PM EDT)
Florian Fischer (02/02/2013 06:21 PM EDT)
Tao Cheng (02/02/2013 06:29 PM EDT)
Dan Dima (02/03/2013 02:56 AM EDT)
Roberto Tauraso (02/03/2013 03:36 AM EDT)
Philippe Fondanaiche (02/03/2013 08:32 AM EDT)
Harald Bögeholz (02/03/2013 10:51 AM EDT)
Deepak Bal (02/03/2013 11:16 AM EDT)
Paul McKenney (02/03/2013 02:29 PM EDT)
Daniel Bitin (02/03/2013 02:33 PM EDT)
Antoine Comeau (02/03/2013 04:32 PM EDT)
Dan Ignatoff (02/03/2013 06:51 PM EDT)
Michael Liepelt (02/04/2013 03:23 AM EDT)
Peter Holdsworth (02/04/2013 04:40 AM EDT)
Luke Pebody (02/04/2013 05:36 AM EDT)
Chuck Carroll (02/04/2013 10:24 AM EDT)
Arun C Ramachandran (02/04/2013 11:58 AM EDT)
Frederik Kaster (02/04/2013 12:15 PM EDT)
William Gunther (02/04/2013 12:27 PM EDT)
Puvichakravarthy Ramachandran (02/04/2013 01:31 PM EDT)
Seth Troisi (02/04/2013 02:21 PM EDT)
Hugo Pfoertner (02/04/2013 05:24 PM EDT)
Christian Pape (02/04/2013 07:22 PM EDT)
José Eduardo Gaboardi de Carvalho (02/04/2013 08:28 PM EDT)
Kurt Hectic (02/05/2013 09:35 AM EDT)
Armin Krauss (02/05/2013 09:50 AM EDT)
David Greer (02/05/2013 10:21 AM EDT)
Duane Bailey (02/05/2013 12:38 PM EDT)
Duane Ryan (02/05/2013 12:43 PM EDT)
Duane R. Bailey (02/05/2013 12:02 PM EDT)
Shirish Chinchalkar (02/05/2013 06:56 PM EDT)
Ignat Soroko (02/05/2013 09:37 PM EDT)
Liubing Yu (02/05/2013 10:11 PM EDT)
Javier Rodriguez (02/06/2013 03:16 AM EDT)
Ranjit Eswaran (02/06/2013 05:52 AM EDT)
Luis Mendes (02/06/2013 07:02 AM EDT)
Arthur Vause (02/06/2013 08:39 AM EDT)
Dave English (02/06/2013 10:30 AM EDT)
Karan P Dhadge (02/06/2013 11:30 AM EDT)
Jason Crease (02/06/2013 01:16 PM EDT)
Richard Gosiorovsky (02/06/2013 02:59 PM EDT)
Jeff Irwin (02/06/2013 04:07 PM EDT)
Joe Clark (02/07/2013 01:57 AM EDT)
Philippe Laborie (02/07/2013 01:57 AM EDT)
Kapil Agrawal (02/07/2013 03:32 AM EDT)
Vivek Ranjan Nema (02/07/2013 03:37 AM EDT)
Mahendra Kariya (02/07/2013 06:36 AM EDT)
Thomas Egense (02/07/2013 06:38 AM EDT)
János Kramár (02/07/2013 06:42 AM EDT)
Sandeep Navada (02/07/2013 08:38 AM EDT)
Greg Janée (02/07/2013 09:51 AM EDT)
Luis Ramada Pereira (02/07/2013 11:05 AM EDT)
J. Eric Ivancich (02/07/2013 02:10 PM EDT)
Gregory Fritz (02/07/2013 02:18 PM EDT)
Michael Slifker (02/07/2013 02:33 PM EDT)
Jerry Kearns (02/07/2013 02:35 PM EDT)
Tilmann Steinberg (02/07/2013 03:18 PM EDT)
Peter gabrovsek (02/07/2013 03:49 PM EDT)
Mathias Schenker (02/07/2013 04:21 PM EDT)
Stephan Weber (02/07/2013 04:57 PM EDT)
Jianhua Cheng (02/07/2013 07:39 PM EDT)
Joaquim Neves Carrapa (02/07/2013 07:52 PM EDT)
Matej Kollar (02/08/2013 08:00 AM EDT)
Sevag Papazian (02/08/2013 09:38 AM EDT)
Fabien Petronelli (02/08/2013 09:53 AM EDT)
Chris Shannon (02/08/2013 07:18 PM EDT)
Mark Pervovskiy (02/09/2013 11:31 AM EDT)
Stephan Weber (02/09/2013 01:10 PM EDT)
Andrei Zaharescu (02/10/2013 08:21 AM EDT)
Luis Manuel Frutos (02/10/2013 03:40 PM EDT)
Priyanka Gagneja Dhingra (02/10/2013 11:02 PM EDT)
Olivier Mercier (02/11/2013 02:24 PM EDT)
David Vainapel (02/11/2013 07:13 AM EDT)
Siva Dirisala (02/12/2013 02:13 PM EDT)
Rob McColl (02/12/2013 05:32 PM EDT)
David Dodson (02/12/2013 05:55 PM EDT)
Victor Chang (02/12/2013 10:41 PM EDT)
Thomas Rohr (02/13/2013 05:11 AM EDT)
Paul Mandell (02/14/2013 07:28 AM EDT)
Vincent Lejeune (02/14/2013 10:29 AM EDT)
Ante Kovacic (02/14/2013 06:57 PM EDT)
Ryan Rechkemmer (02/14/2013 07:08 PM EDT)
Ian Barnard (02/15/2013 04:08 AM EDT)
Jan Fricke (02/15/2013 05:28 AM EDT)
Peter Park (02/15/2013 06:03 AM EDT)
Kipp Johnson (02/15/2013 09:29 AM EDT)
Adir HaCohen (02/15/2013 10:24 AM EDT)
Lewei Weng (02/16/2013 12:06 AM EDT)
Dylan Rose (02/16/2013 01:27 AM EDT)
Jose Nazario (02/16/2013 01:53 PM EDT)
Adrian Orzepowski (02/17/2013 07:57 AM EDT)
Luis Ramada Pereira (02/17/2013 11:29 AM EDT)
Jochen Klein (02/17/2013 03:32 PM EDT)
Don Ryan (02/17/2013 11:26 PM EDT)
Shouky Dan & Tamir Ganor (02/17/2013 11:47 PM EDT)
Sami Casanova (02/18/2013 08:57 AM EDT)
Rodrigo Viana Rocha (02/18/2013 08:42 PM EDT)
Jens Schönbohm (02/19/2013 06:02 AM EDT)
José Eduardo Gaboardi de Carvalho (02/19/2013 10:25 AM EDT)
Kerry M. Soileau (02/19/2013 08:07 PM EDT)
Shmuel Menachem Spiegel (02/19/2013 11:38 PM EDT)
Minghao (Tommy) Liang (02/20/2013 01:42 PM EDT)
Philip Ward (02/20/2013 02:51 PM EDT)
Raphael Deem (02/20/2013 04:54 PM EDT)
Edgardo Deza (02/20/2013 08:47 PM EDT)
Nyles Heise (02/20/2013 10:35 PM EDT)
Michael Holschbach (02/21/2013 01:13 PM EDT)
Mark Kattenbelt (02/21/2013 03:00 PM EDT)
Max & Nick Nepokroeff (02/22/2013 12:22 AM EDT)
Abhiram R Devesh (02/22/2013 09:47 AM EDT)
Anoop Ghanwani (02/24/2013 04:06 AM EDT)
Albert Stadler (02/24/2013 06:19 AM EDT)
Moritz Pflanzer (02/24/2013 08:21 AM EDT)
Jorge Soares (02/25/2013 05:58 AM EDT)
Aditya Vohra & H.B. Leo (02/25/2013 03:07 AM EDT)
Jamie Jorgensen & Jason Lee (02/25/2013 08:16 PM EDT)
Tomek Czajka (02/27/2013 05:26 PM EDT)
Benjamin Bachmann (02/27/2013 06:33 PM EDT)
Simon Xu (02/27/2013 07:57 PM EDT)
Nadav Ben-Nun (02/27/2013 08:10 PM EDT)
Dugan Schmid (02/27/2013 10:06 PM EDT)
Donald Dodson (02/28/2013 09:15 AM EDT)
John Flavin (02/28/2013 01:42 PM EDT)
Dugan Schmid & Craig Oppenheim (02/28/2013 02:19 PM EDT)
Benjamin Burch (02/28/2013 05:46 PM EDT)


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