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Find the number of integral values of x for which the expression \(\[ \frac {4^n + 15n - 1}{x} \] \)has an integer value for every positive integer n.


I really need help on this. Thanks to anyone who can solve it!

 May 9, 2019

n=1; x=1;d=0;cycle:a = (4^n + 15*n -1) ;if(a% x==0, goto5, goto7);d=d+1;printx;n=1;x++;if(x<30, goto cycle,discard=0;


x takes the following values:1, 2, 3, 6, 9, 18.

 May 10, 2019

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