MathDB

a^3,b^2,c suggestive diophantine equation

Source: Baltic Way 1997

January 28, 2011

modular arithmeticnumber theory proposednumber theory

Problem Statement

Find all triples

(a,b,c)

of non-negative integers satisfying

a\ge b\ge c

and

1\cdot a^3+9\cdot b^2+9\cdot c+7=1997