About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
June 2021 - Challenge
- The numbers 32993 and 2097593 have the following curious properties:
- They are both prime
- They are both of the form
for
integers
- They are both of the form
for
integers
- They are both of the form
for
integers
- They are both of the form
for
integers
Where in equations 3-5 the x,y values can be different from equation to equation.
- For example, for 32993 we have:
-
-
-
-
Your goal: Find another number satisfying those properties. Supply your answer in the following format: first the number itself, then the values that plug into the
equation, and then the
values solving equations 3-5.
For example, for 32993, the solution is given as:
32993 2 15 143 112 15 128 25 68
A bonus "*" will be given for finding a number greater than googol that satisfies the properties.
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:
31/05/2021 @ 12:00 PM EST
Solution:
04/07/2021 @ 12:00 PM EST
List Updated:
02/07/2021 @ 12:00 PM EST
People who answered correctly:
*Uoti Urpala (31/5/2021 08:19 PM IDT)
*Bert Dobbelaere (31/5/2021 10:07 PM IDT)
*Yuping Luo (31/5/2021 11:54 PM IDT)
*Giorgos Kalogeropoulos (31/5/2021 11:57 PM IDT)
*Radu-Alexandru Todor (1/6/2021 1:33 AM IDT)
*Lazar Ilic (1/6/2021 5:41 AM IDT)
Sean Egan (1/6/2021 9:36 AM IDT)
*Reiner Martin (1/6/2021 10:41 AM IDT)
*Harald Bögeholz (1/6/2021 12:10 PM IDT)
*Paul Revenant (1/6/2021 1:18 PM IDT)
*Andreas Stiller (1/6/2021 3:51 PM IDT)
*Bertram Felgenhauer (1/6/2021 3:53 PM IDT)
*Latchezar Christov (1/6/2021 5:00 PM IDT)
*Albert Stadler (1/6/2021 9:21 PM IDT)
*Shouky Dan & Tamir Ganor (1/6/2021 11:04 PM IDT)
*Sean Egan (2/6/2021 12:16 AM IDT)
*Keith Schneider (2/6/2021 12:23 AM IDT)
*Hakan Summakoğlu (2/6/2021 12:41 AM IDT)
*Victor Chang (2/6/2021 7:12 AM IDT)
*Yash Pote (2/6/2021 8:48 AM IDT)
*Sanandan Swaminathan (2/6/2021 9:19 AM IDT)
*Daniel Chong Jyh Tar (2/6/2021 12:08 PM IDT)
*Alper Halbutogullari (2/6/2021 1:47 PM IDT)
*Michael Branicky (2/6/2021 1:53 PM IDT)
*Gary M. Gerken (2/6/2021 4:43 PM IDT)
*Kurt Foster (2/6/2021 4:44 PM IDT)
*Guillaume Escamocher (2/6/2021 7:09 PM IDT)
*Angus Chung (2/6/2021 9:50 PM IDT)
João Paulo Santos (3/6/2021 12:19 AM IDT)
*Jordan Rinder (3/6/2021 12:27 AM IDT)
*Yin Nam Dalton Fung (3/6/2021 4:00 AM IDT)
JJ Rabeyrin (3/6/2021 2:30 PM IDT)
*Dominik Reichl (3/6/2021 3:08 PM IDT)
*Hyeonseung Kwon (3/6/2021 3:54 PM IDT)
*Thomas Egense (3/6/2021 4:31 PM IDT)
Soonho You (3/6/2021 5:09 PM IDT)
*Hugh Taiyo Coleman (3/6/2021 7:56 PM IDT)
*Reda Kebbaj (3/6/2021 9:04 PM IDT)
Ahmet Yüksel(3/6/2021 9:06 PM IDT)
*Daniëlle van den Berg (3/6/2021 9:41 PM IDT)
*Dan Dima (3/6/2021 9:50 PM IDT)
*Tim Walters (4/6/2021 12:00 AM IDT)
*Chu-Wee Lim (4/6/2021 6:55 AM IDT)
Gürkan Koray Akpınar (4/6/2021 9:29 AM IDT)
*David Greer (4/6/2021 1:33 PM IDT)
*Clive Tong (4/6/2021 2:43 PM IDT)
*Daniel Scheinerman (4/6/2021 9:48 PM IDT)
*Maksym Voznyy (4/6/2021 10:49 PM IDT)
Steven Langerwerf(5/6/2021 12:36 AM IDT)
*Walter Schmidt (5/6/2021 2:50 PM IDT)
*Kang Jin Cho (5/6/2021 5:39 PM IDT)
Tung nguyen khac (7/6/2021 12:14 AM IDT)
Nir Drucker (7/6/2021 8:36 AM IDT)
Andrew Mullins (7/6/2021 10:37 PM IDT)
*Raymond Lo (8/6/2021 3:25 AM IDT)
*Michael Liepelt (8/6/2021 1:53 PM IDT)
*Stefan Wirth (9/6/2021 5:25 AM IDT)
Dieter Beckerle (9/6/2021 5:00 PM IDT)
*Kennedy (9/6/2021 6:28 PM IDT)
*Todd Will (9/6/2021 9:53 PM IDT)
*Thomas Pircher (10/6/2021 11:21 AM IDT)
Alexey Zyl (10/6/2021 12:27 PM IDT)
*Rainy Sokhonn (11/6/2021 9:03 PM IDT)
*Moning Zhang (12/6/2021 4:29 AM IDT)
Franciraldo Cavalcante (12/6/2021 5:37 PM IDT)
Lorenz Reichel (12/6/2021 8:33 PM IDT)
Fabio Michele Negroni (12/6/2021 8:38 PM IDT)
*Li Li (14/6/2021 7:10 AM IDT)
Joaquim Carrapa (14/6/2021 3:46 PM IDT)
*Marco Bellocchi (15/6/2021 12:58 PM IDT)
*Kai Guttmann (17/6/2021 12:37 AM IDT)
*Hansraj Nahata (17/6/2021 2:29 AM IDT)
*Govind Jujare (17/6/2021 3:50 AM IDT)
*Nyles Heise (18/6/2021 5:52 AM IDT)
Andreas Knüpfer (18/6/2021 4:20 PM IDT)
Chuck Carroll (19/6/2021 3:00 AM IDT)
*Jose Coelho (20/6/2021 12:09 AM IDT)
*Benjamin Phillabaum (20/6/2021 6:17 PM IDT)
Wang Longbu (21/6/2021 5:57 AM IDT)
*Guenter Nowak (21/6/2021 7:23 AM IDT)
*Matt Rips (21/6/2021 8:23 PM IDT)
*Soham Sud (22/6/2021 12:09 AM IDT)
*Sean Wellman (22/6/2021 7:12 PM IDT)
*Yusuf AttarBashi (22/6/2021 11:09 PM IDT)
*Chris Shannon (23/6/2021 6:24 AM IDT)
*Franciraldo Cavalcante (23/6/2021 4:08 PM IDT)
*Liubing Yu (24/6/2021 10:14 AM IDT)
*Hans Havermann (25/6/2021 7:18 AM IDT)
John Song (25/6/2021 10:02 AM IDT)
Arthur Vause (25/6/2021 4:39 PM IDT)
*Evert van Dijken (27/6/2021 7:39 PM IDT)
*Florian Fischer (28/6/2021 1:35 AM IDT)
*Dieter Beckerle (29/6/2021 12:36 PM IDT)
*Tomer Vromen (29/6/2021 11:15 PM IDT)
*Daniel Bitin (30/6/2021 1:02 AM IDT)
*Prashant Wankhede (30/6/2021 8:17 AM IDT)
*Tremaine Chimbari (30/6/2021 9:42 AM IDT)
Alex Fleischer (30/6/2021 10:24 AM IDT)
*Calvin Pozderac (30/6/2021 7:52 PM IDT)
*Alex Semenov (30/6/2021 8:37 PM IDT)
Eran Vered (30/6/2021 8:47 PM IDT)
*James Muir (1/7/2021 9:44 AM IDT)
*Oscar Volpatti (2/7/2021 7:17 AM IDT)
Armin Krauß (2/7/2021 3:33 PM IDT)
Motty Porat (2/7/2021 6:04 PM IDT)
*Yoishik Rakshit (2/7/2021 11:24 PM IDT)