All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Just Math
T times T creates another T?? (Posted on 2015-01-11) Difficulty: 4 of 5
The squares of triangular numbers 1 and 6 are triangular numbers 1 and 36.

T1^2 = 1 * 1 = 1 = T1
T3^2 = 6 * 6 = 36 = T8

Are there additional triangular numbers whose squares form a triangular number?

  Submitted by Ady TZIDON    
Rating: 4.0000 (1 votes)
Solution: (Hide)
There is no other square triangular number beside 1 and 36 which is a square of a triangular number.

The source of proof:
L. J. Mordel, Diophantine Equations, 1969, Academic Press, London, Theorem 7, pp. 268-269).

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Some ThoughtsForgetting zeroAdy TZIDON2015-01-13 19:48:18
Some ThoughtsAnother thoughtbroll2015-01-12 22:37:21
No solution, maybe just an interesting bywayxdog2015-01-12 15:17:01
Some ThoughtsAn equivalent problembroll2015-01-12 12:51:54
re(3): SolutionSteve Herman2015-01-12 12:13:30
re(2): SolutionHarry2015-01-12 11:09:08
re: SolutionSteve Herman2015-01-12 08:26:04
SolutionSolutionHarry2015-01-11 11:53:37
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information