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

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: possible solution. //infinitely many ?

| Comment 3 of 7 |

(In reply to possible solution. by broll)

...infinitely many ??

since 1008^2 = 1007^2+2015

There will be no A bigger than 1008^2 .

so the series A+B : 2017, 2407, 2815, 4465.. is final.

Posted by Ady TZIDON on 2015-10-13 23:33:38

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