perplexus.info :: Just Math : Triangular and Square Settlement

Triangular and Square Settlement (Posted on 2015-10-13)

A is a triangular number and B is a perfect square such that:
A – B = 2015

Find the four smallest values of A+B

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

2017, 2407, 2815, and 4465 are the required four smallest values for A+B.
For an explanatiin, refer to the solution submitted by Charlie here and here.
Daniel has conclusively proved that there are an infinite number of solutions in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(3): possible solution. //infinitely many ?	Ady TZIDON	2015-10-14 19:38:31
extended list	Charlie	2015-10-14 08:09:55
re(3): possible solution. //infinitely many ?	Daniel	2015-10-14 07:11:46
re(2): possible solution. //infinitely many ?	broll	2015-10-14 04:51:38
re: possible solution. //infinitely many ?	Ady TZIDON	2015-10-13 23:33:38
computer solution	Charlie	2015-10-13 15:34:15
possible solution.	broll	2015-10-13 11:54:42

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