Hey,
The natural initial instinct to this question, I suppose, would be to say that they are insufficient, which as you showed at the bottom, is easy to prove by plugging in some numbers.
I was wondering if there is a more strictly mathematical way of proving this without examples? I.E, having solving some system of equations where each digit in the number is a variable?
I'm not sure exactly what I'm picturing, but I just want to see a more concrete method than trying a few examples and seeing
...
The natural initial instinct to this question, I suppose, would be to say that they are insufficient, which as you showed at the bottom, is easy to prove by plugging in some numbers.
I was wondering if there is a more strictly mathematical way of proving this without examples? I.E, having solving some system of equations where each digit in the number is a variable?
I'm not sure exactly what I'm picturing, but I just want to see a more concrete method than trying a few examples and seeing
...