sum of consecutive triangular numbers is a square

franktaw at franktaw at
Sat Feb 24 16:04:23 CET 2007

This is more than just a possibility, since the sum of any two 
consecutive triangular numbers is a square.

Franklin T. Adams-Watters

-----Original Message-----
From: sachs6 at

... But there is
also the possibility that there exist numbers k, such
that there are a infinity number of ways to have k
consecutive triangular number summing a perfect

Paulo Sachs

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