Yes.
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The fifth triangle number, known as T5 is 15.
36 is both a square number and a triangle number as it is:6x6=36andthe square numbers are:1, 3, 6, 10, 15, 21, 28, 36, 45,55, 66, 78.xx
Any number between 3 and 15
that's not a triangle
28 is a triangle number. The 28th triangle number is 406.