////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den3/Page39.txt
//
////////////////////////////////////////////////////////////////

Generator:
R(8,6,5,5179)

Problem:
28996*x_4+33562*x_5=86925 (mod 97813)
76227*x_3+58513*x_4+72722*x_5+38772*x_6=67227 (mod 79178)
57225*x_4+20772*x_5+13743*x_6=12938 (mod 62348)
72590*x_3+19733*x_4+33630*x_5=7619 (mod 36028)
89935*x_3+72942*x_5+6199*x_6=15676 (mod 16055)
87959*x_2+42792*x_3=66356 (mod 90781)
45988*x_1+74743*x_2+46575*x_3+77966*x_4+96665*x_5=59131 (mod 80519)
14287*x_1+16001*x_3+84951*x_4+61440*x_5=76082 (mod 77164)

Solution:
x_1=21385717153599261310288060239063015
x_2=12383712893094254986076416353639900
x_3=9690449225087144413595549368191220
x_4=28831956321679361717050722215318495
x_5=31078836338917757902698270423816048
x_6=8606689941417773402932193791148245