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 T times T creates another T?? (Posted on 2015-01-11)
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).

 Subject Author Date Forgetting zero Ady TZIDON 2015-01-13 19:48:18 Another thought broll 2015-01-12 22:37:21 No solution, maybe just an interesting byway xdog 2015-01-12 15:17:01 An equivalent problem broll 2015-01-12 12:51:54 re(3): Solution Steve Herman 2015-01-12 12:13:30 re(2): Solution Harry 2015-01-12 11:09:08 re: Solution Steve Herman 2015-01-12 08:26:04 Solution Harry 2015-01-11 11:53:37

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