WON plate140 | World!OfNumbers [ October 6, 2002 ] 8778 a curious Palindromic Triangular Jean Claude Rosa Jean Claude Rosa (email) brought to my attention that there is only one solution known for constructing a rectangular triangle whose three sides are all triangular numbers. Source : Puzzle 187. Triangles and Triangular numbers situated at Carlos Rivera's PP&P website. 87782 + 102962 = 135302 or (T132)2 + (T143)2 = (T164)2 It so happens that the smallest side T132 or 8778 ( just like 1322 + 1432 = 37873 ) btw is palindromic ! JCR became obsessed with looking for another solution but that must be like finding a needle in a haystack. So to relax for a while (??!!) he searched for Squares of triangular numbers that are palindromic and besides these two trivial solutions 12 = 1 and 32 = 9 he didn't find a larger example. Is this another needle in a still bigger haystack ? ps. JCR thinks that he/she who discovers the next trio of triangulars won't have found a needlebut rather a very beautiful jewel in the  World!Of Numbers . A000140 Prime Curios! Prime Puzzle Wikipedia 140 Le nombre 140
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