////////////////////////////////////////////////////////////////
//
//     http://www.planetquantum.com/Solve/Level1/Den10/Page22.txt
//
////////////////////////////////////////////////////////////////

Generator:
S(10,5,10241)

Problem:
10245*x_1+10247*x_2+10241*x_3+10242*x_4+10244*x_5=10246 (mod 10243)
10254*x_1+10253*x_2+10249*x_3+10252*x_4+10251*x_5=10250 (mod 10248)
10259*x_1+10258*x_2+10261*x_3+10255*x_4+10256*x_5=10260 (mod 10257)
10266*x_1+10263*x_2+10267*x_3+10268*x_4+10265*x_5=10262 (mod 10264)
10270*x_1+10273*x_2+10269*x_3+10272*x_4+10275*x_5=10274 (mod 10271)
10282*x_1+10276*x_2+10277*x_3+10279*x_4+10281*x_5=10280 (mod 10278)
10289*x_1+10287*x_2+10288*x_3+10286*x_4+10285*x_5=10284 (mod 10283)
10290*x_1+10296*x_2+10294*x_3+10291*x_4+10295*x_5=10292 (mod 10293)
10302*x_1+10297*x_2+10300*x_3+10299*x_4+10301*x_5=10303 (mod 10298)
10305*x_1+10304*x_2+10307*x_3+10310*x_4+10308*x_5=10306 (mod 10309)

Solution:
x_1=18043855390231171537895905532741
x_2=41776748664082537772340458578377
x_3=31663810480326483973905869362632
x_4=37150512589554284607773647546755
x_5=40941381221141456506526060561730