Number Theory

Im gonna hard bash it. Its requires extreme patient which I do not have. I shall be using a calculator to shorten the process.

Oh well....

$N = 2^{20}+2^{19}+2^{18}+2^{17}+2^{14}+2^{13}+2^{12}+2^{10}+2^{6}+A\cdot2^{5}+B\cdot2^{4}+C\cdot2^{3}+2^{1}$

$N=1995842+A\cdot2^{5}+B\cdot2^{4}+C\cdot2^{3}$

$1995842 \cong 2\mod7$

$A\cdot2^{5}+B\cdot2^{4}+C\cdot2^{3}\cong 5\mod7$

$32\cong4\mod7,16\cong2\mod7,8\cong1\mod7$

$32+8\cong4+1=5\mod7$

$A=1,B=0,C=1$