MathDB
Sequence of numbers in form of a^2+b^2

Source: Iran TST 2015, exam 1, day 1 problem 3

May 11, 2015
number theory

Problem Statement

Let b1<b2<b3<… b_1<b_2<b_3<\dots be the sequence of all natural numbers which are sum of squares of two natural numbers. Prove that there exists infinite natural numbers like mm which bm+1−bm=2015b_{m+1}-b_m=2015 .
Back to ProblemsView on AoPS