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Questions on the number-theoretic functionality of Mathematica.
3
votes
Integers which are the sum of both two and three consecutive squares
Solutions can be greatly simplified simply computing the next number.
For the equation:
$$n^2+(n+1)^2=k^2+(k+1)^2+(k+2)^2$$
Using the first number. $(p_1 ; s_1) - (1 ; 0 )$
Let's use these numb …
2
votes
Solving a Diophantine equation with a large solution
There is one idea. To search for the solution of the equation.
$$\frac{a}{b+c}+\frac{b}{a+c}+\frac{c}{a+b}=q$$
If we know any solution $(a,b,c)$ of this equation. Then it is possible to find another …