Integral Solutions - II
Number Theory
Level
2
Find the number of positive integral solutions to
The answer is 0.
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1 solution
We know a diophantic equation ax+by=c has integral solutions when the the GCD of a and b divides c. Then: 91=7 13 105=3 5 7 2013= 3 11*61 The GCD of 91 and 105 is 7, but seven is not a factor of 2013, then this equation do not have integral solutions.