
theorem
Sierp36 4975,25
proof
  thus Sum digits(4975,10) = 25 by Th1376;
  4975=199*25;
  hence 25 divides 4975 by INT_1:def 3;
  let m be Nat;
  assume A1: Sum digits(m,10) = 25 & 25 divides m;
  then consider j being Nat such that
  A2: m=25*j by NAT_D:def 3;
  assume m < 4975;
  then 25*j < 25*199 by A2;
  then j < 198+1 by XREAL_1:64;
  then j <= 198 by NAT_1:9;
  then j <= 99 or (j >= 99+1 & j <= 198) by NAT_1:9;
  then (j=0 or ... or j=99) or (j=100 or ... or j=198);
  then per cases;
  suppose j=0;
    then Sum digits(m,10) = 0 by A2,Th6;
    hence contradiction by A1;
  end;
  suppose j=1;
    then Sum digits(m,10) = 7 by A2,Th1076;
    hence contradiction by A1;
  end;
  suppose j=2;
    then Sum digits(m,10) = 5 by A2,Th25;
    hence contradiction by A1;
  end;
  suppose j=3;
    then Sum digits(m,10) = 12 by A2,Th172;
    hence contradiction by A1;
  end;
  suppose j=4;
    then Sum digits(m,10) = 1 by A2,Th35;
    hence contradiction by A1;
  end;
  suppose j=5;
    then Sum digits(m,10) = 8 by A2,Th1078;
    hence contradiction by A1;
  end;
  suppose j=6;
    then Sum digits(m,10) = 6 by A2,Th45;
    hence contradiction by A1;
  end;
  suppose j=7;
    then Sum digits(m,10) = 13 by A2,Th1080;
    hence contradiction by A1;
  end;
  suppose j=8;
    then Sum digits(m,10) = 2 by A2,Th361;
    hence contradiction by A1;
  end;
  suppose j=9;
    then Sum digits(m,10) = 9 by A2,Th1082;
    hence contradiction by A1;
  end;
  suppose j=10;
    then Sum digits(m,10) = 7 by A2,Th1084;
    hence contradiction by A1;
  end;
  suppose j=11;
    then Sum digits(m,10) = 14 by A2,Th1086;
    hence contradiction by A1;
  end;
  suppose j=12;
    then Sum digits(m,10) = 3 by A2,Th369;
    hence contradiction by A1;
  end;
  suppose j=13;
    then Sum digits(m,10) = 10 by A2,Th1088;
    hence contradiction by A1;
  end;
  suppose j=14;
    then Sum digits(m,10) = 8 by A2,Th1090;
    hence contradiction by A1;
  end;
  suppose j=15;
    then Sum digits(m,10) = 15 by A2,Th1092;
    hence contradiction by A1;
  end;
  suppose j=16;
    then Sum digits(m,10) = 4 by A2,Th213;
    hence contradiction by A1;
  end;
  suppose j=17;
    then Sum digits(m,10) = 11 by A2,Th260;
    hence contradiction by A1;
  end;
  suppose j=18;
    then Sum digits(m,10) = 9 by A2,Th1094;
    hence contradiction by A1;
  end;
  suppose j=19;
    then Sum digits(m,10) = 16 by A2,Th316;
    hence contradiction by A1;
  end;
  suppose j=20;
    then Sum digits(m,10) = 5 by A2,Th381;
    hence contradiction by A1;
  end;
  suppose j=21;
    then Sum digits(m,10) = 12 by A2,Th1096;
    hence contradiction by A1;
  end;
  suppose j=22;
    then Sum digits(m,10) = 10 by A2,Th769;
    hence contradiction by A1;
  end;
  suppose j=23;
    then Sum digits(m,10) = 17 by A2,Th960;
    hence contradiction by A1;
  end;
  suppose j=24;
    then Sum digits(m,10) = 6 by A2,Th391;
    hence contradiction by A1;
  end;
  suppose j=25;
    then Sum digits(m,10) = 13 by A2,Th1098;
    hence contradiction by A1;
  end;
  suppose j=26;
    then Sum digits(m,10) = 11 by A2,Th1100;
    hence contradiction by A1;
  end;
  suppose j=27;
    then Sum digits(m,10) = 18 by A2,Th1102;
    hence contradiction by A1;
  end;
  suppose j=28;
    then Sum digits(m,10) = 7 by A2,Th401;
    hence contradiction by A1;
  end;
  suppose j=29;
    then Sum digits(m,10) = 14 by A2,Th1104;
    hence contradiction by A1;
  end;
  suppose j=30;
    then Sum digits(m,10) = 12 by A2,Th1106;
    hence contradiction by A1;
  end;
  suppose j=31;
    then Sum digits(m,10) = 19 by A2,Th1108;
    hence contradiction by A1;
  end;
  suppose j=32;
    then Sum digits(m,10) = 8 by A2,Th409;
    hence contradiction by A1;
  end;
  suppose j=33;
    then Sum digits(m,10) = 15 by A2,Th1110;
    hence contradiction by A1;
  end;
  suppose j=34;
    then Sum digits(m,10) = 13 by A2,Th1112;
    hence contradiction by A1;
  end;
  suppose j=35;
    then Sum digits(m,10) = 20 by A2,Th1114;
    hence contradiction by A1;
  end;
  suppose j=36;
    then Sum digits(m,10) = 9 by A2,Th419;
    hence contradiction by A1;
  end;
  suppose j=37;
    then Sum digits(m,10) = 16 by A2,Th1116;
    hence contradiction by A1;
  end;
  suppose j=38;
    then Sum digits(m,10) = 14 by A2,Th1118;
    hence contradiction by A1;
  end;
  suppose j=39;
    then Sum digits(m,10) = 21 by A2,Th1120;
    hence contradiction by A1;
  end;
  suppose j=40;
    then Sum digits(m,10) = 1 by A2,Th429;
    hence contradiction by A1;
  end;
  suppose j=41;
    then Sum digits(m,10) = 8 by A2,Th1122;
    hence contradiction by A1;
  end;
  suppose j=42;
    then Sum digits(m,10) = 6 by A2,Th1124;
    hence contradiction by A1;
  end;
  suppose j=43;
    then Sum digits(m,10) = 13 by A2,Th1126;
    hence contradiction by A1;
  end;
  suppose j=44;
    then Sum digits(m,10) = 2 by A2,Th439;
    hence contradiction by A1;
  end;
  suppose j=45;
    then Sum digits(m,10) = 9 by A2,Th1128;
    hence contradiction by A1;
  end;
  suppose j=46;
    then Sum digits(m,10) = 7 by A2,Th1004;
    hence contradiction by A1;
  end;
  suppose j=47;
    then Sum digits(m,10) = 14 by A2,Th1130;
    hence contradiction by A1;
  end;
  suppose j=48;
    then Sum digits(m,10) = 3 by A2,Th449;
    hence contradiction by A1;
  end;
  suppose j=49;
    then Sum digits(m,10) = 10 by A2,Th1132;
    hence contradiction by A1;
  end;
  suppose j=50;
    then Sum digits(m,10) = 8 by A2,Th1134;
    hence contradiction by A1;
  end;
  suppose j=51;
    then Sum digits(m,10) = 15 by A2,Th1136;
    hence contradiction by A1;
  end;
  suppose j=52;
    then Sum digits(m,10) = 4 by A2,Th459;
    hence contradiction by A1;
  end;
  suppose j=53;
    then Sum digits(m,10) = 11 by A2,Th1138;
    hence contradiction by A1;
  end;
  suppose j=54;
    then Sum digits(m,10) = 9 by A2,Th1140;
    hence contradiction by A1;
  end;
  suppose j=55;
    then Sum digits(m,10) = 16 by A2,Th1142;
    hence contradiction by A1;
  end;
  suppose j=56;
    then Sum digits(m,10) = 5 by A2,Th469;
    hence contradiction by A1;
  end;
  suppose j=57;
    then Sum digits(m,10) = 12 by A2,Th1144;
    hence contradiction by A1;
  end;
  suppose j=58;
    then Sum digits(m,10) = 10 by A2,Th1146;
    hence contradiction by A1;
  end;
  suppose j=59;
    then Sum digits(m,10) = 17 by A2,Th1148;
    hence contradiction by A1;
  end;
  suppose j=60;
    then Sum digits(m,10) = 6 by A2,Th479;
    hence contradiction by A1;
  end;
  suppose j=61;
    then Sum digits(m,10) = 13 by A2,Th1150;
    hence contradiction by A1;
  end;
  suppose j=62;
    then Sum digits(m,10) = 11 by A2,Th1152;
    hence contradiction by A1;
  end;
  suppose j=63;
    then Sum digits(m,10) = 18 by A2,Th1154;
    hence contradiction by A1;
  end;
  suppose j=64;
    then Sum digits(m,10) = 7 by A2,Th489;
    hence contradiction by A1;
  end;
  suppose j=65;
    then Sum digits(m,10) = 14 by A2,Th1156;
    hence contradiction by A1;
  end;
  suppose j=66;
    then Sum digits(m,10) = 12 by A2,Th857;
    hence contradiction by A1;
  end;
  suppose j=67;
    then Sum digits(m,10) = 19 by A2,Th1158;
    hence contradiction by A1;
  end;
  suppose j=68;
    then Sum digits(m,10) = 8 by A2,Th499;
    hence contradiction by A1;
  end;
  suppose j=69;
    then Sum digits(m,10) = 15 by A2,Th1160;
    hence contradiction by A1;
  end;
  suppose j=70;
    then Sum digits(m,10) = 13 by A2,Th1162;
    hence contradiction by A1;
  end;
  suppose j=71;
    then Sum digits(m,10) = 20 by A2,Th1164;
    hence contradiction by A1;
  end;
  suppose j=72;
    then Sum digits(m,10) = 9 by A2,Th509;
    hence contradiction by A1;
  end;
  suppose j=73;
    then Sum digits(m,10) = 16 by A2,Th1166;
    hence contradiction by A1;
  end;
  suppose j=74;
    then Sum digits(m,10) = 14 by A2,Th1168;
    hence contradiction by A1;
  end;
  suppose j=75;
    then Sum digits(m,10) = 21 by A2,Th1170;
    hence contradiction by A1;
  end;
  suppose j=76;
    then Sum digits(m,10) = 10 by A2,Th519;
    hence contradiction by A1;
  end;
  suppose j=77;
    then Sum digits(m,10) = 17 by A2,Th1172;
    hence contradiction by A1;
  end;
  suppose j=78;
    then Sum digits(m,10) = 15 by A2,Th1174;
    hence contradiction by A1;
  end;
  suppose j=79;
    then Sum digits(m,10) = 22 by A2,Th1176;
    hence contradiction by A1;
  end;
  suppose j=80;
    then Sum digits(m,10) = 2 by A2,Th529;
    hence contradiction by A1;
  end;
  suppose j=81;
    then Sum digits(m,10) = 9 by A2,Th1178;
    hence contradiction by A1;
  end;
  suppose j=82;
    then Sum digits(m,10) = 7 by A2,Th1180;
    hence contradiction by A1;
  end;
  suppose j=83;
    then Sum digits(m,10) = 14 by A2,Th1182;
    hence contradiction by A1;
  end;
  suppose j=84;
    then Sum digits(m,10) = 3 by A2,Th539;
    hence contradiction by A1;
  end;
  suppose j=85;
    then Sum digits(m,10) = 10 by A2,Th1184;
    hence contradiction by A1;
  end;
  suppose j=86;
    then Sum digits(m,10) = 8 by A2,Th1186;
    hence contradiction by A1;
  end;
  suppose j=87;
    then Sum digits(m,10) = 15 by A2,Th1188;
    hence contradiction by A1;
  end;
  suppose j=88;
    then Sum digits(m,10) = 4 by A2,Th549;
    hence contradiction by A1;
  end;
  suppose j=89;
    then Sum digits(m,10) = 11 by A2,Th1190;
    hence contradiction by A1;
  end;
  suppose j=90;
    then Sum digits(m,10) = 9 by A2,Th1192;
    hence contradiction by A1;
  end;
  suppose j=91;
    then Sum digits(m,10) = 16 by A2,Th1194;
    hence contradiction by A1;
  end;
  suppose j=92;
    then Sum digits(m,10) = 5 by A2,Th559;
    hence contradiction by A1;
  end;
  suppose j=93;
    then Sum digits(m,10) = 12 by A2,Th1196;
    hence contradiction by A1;
  end;
  suppose j=94;
    then Sum digits(m,10) = 10 by A2,Th1198;
    hence contradiction by A1;
  end;
  suppose j=95;
    then Sum digits(m,10) = 17 by A2,Th1200;
    hence contradiction by A1;
  end;
  suppose j=96;
    then Sum digits(m,10) = 6 by A2,Th569;
    hence contradiction by A1;
  end;
  suppose j=97;
    then Sum digits(m,10) = 13 by A2,Th1202;
    hence contradiction by A1;
  end;
  suppose j=98;
    then Sum digits(m,10) = 11 by A2,Th1204;
    hence contradiction by A1;
  end;
  suppose j=99;
    then Sum digits(m,10) = 18 by A2,Th1206;
    hence contradiction by A1;
  end;
  suppose j=100;
    then Sum digits(m,10) = 7 by A2,Th579;
    hence contradiction by A1;
  end;
  suppose j=101;
    then Sum digits(m,10) = 14 by A2,Th1208;
    hence contradiction by A1;
  end;
  suppose j=102;
    then Sum digits(m,10) = 12 by A2,Th1210;
    hence contradiction by A1;
  end;
  suppose j=103;
    then Sum digits(m,10) = 19 by A2,Th1212;
    hence contradiction by A1;
  end;
  suppose j=104;
    then Sum digits(m,10) = 8 by A2,Th589;
    hence contradiction by A1;
  end;
  suppose j=105;
    then Sum digits(m,10) = 15 by A2,Th1214;
    hence contradiction by A1;
  end;
  suppose j=106;
    then Sum digits(m,10) = 13 by A2,Th1216;
    hence contradiction by A1;
  end;
  suppose j=107;
    then Sum digits(m,10) = 20 by A2,Th1218;
    hence contradiction by A1;
  end;
  suppose j=108;
    then Sum digits(m,10) = 9 by A2,Th599;
    hence contradiction by A1;
  end;
  suppose j=109;
    then Sum digits(m,10) = 16 by A2,Th1220;
    hence contradiction by A1;
  end;
  suppose j=110;
    then Sum digits(m,10) = 14 by A2,Th1222;
    hence contradiction by A1;
  end;
  suppose j=111;
    then Sum digits(m,10) = 21 by A2,Th1224;
    hence contradiction by A1;
  end;
  suppose j=112;
    then Sum digits(m,10) = 10 by A2,Th609;
    hence contradiction by A1;
  end;
  suppose j=113;
    then Sum digits(m,10) = 17 by A2,Th1226;
    hence contradiction by A1;
  end;
  suppose j=114;
    then Sum digits(m,10) = 15 by A2,Th1228;
    hence contradiction by A1;
  end;
  suppose j=115;
    then Sum digits(m,10) = 22 by A2,Th1230;
    hence contradiction by A1;
  end;
  suppose j=116;
    then Sum digits(m,10) = 11 by A2,Th619;
    hence contradiction by A1;
  end;
  suppose j=117;
    then Sum digits(m,10) = 18 by A2,Th1232;
    hence contradiction by A1;
  end;
  suppose j=118;
    then Sum digits(m,10) = 16 by A2,Th1234;
    hence contradiction by A1;
  end;
  suppose j=119;
    then Sum digits(m,10) = 23 by A2,Th1236;
    hence contradiction by A1;
  end;
  suppose j=120;
    then Sum digits(m,10) = 3 by A2,Th629;
    hence contradiction by A1;
  end;
  suppose j=121;
    then Sum digits(m,10) = 10 by A2,Th1238;
    hence contradiction by A1;
  end;
  suppose j=122;
    then Sum digits(m,10) = 8 by A2,Th1240;
    hence contradiction by A1;
  end;
  suppose j=123;
    then Sum digits(m,10) = 15 by A2,Th1242;
    hence contradiction by A1;
  end;
  suppose j=124;
    then Sum digits(m,10) = 4 by A2,Th639;
    hence contradiction by A1;
  end;
  suppose j=125;
    then Sum digits(m,10) = 11 by A2,Th1244;
    hence contradiction by A1;
  end;
  suppose j=126;
    then Sum digits(m,10) = 9 by A2,Th1246;
    hence contradiction by A1;
  end;
  suppose j=127;
    then Sum digits(m,10) = 16 by A2,Th1248;
    hence contradiction by A1;
  end;
  suppose j=128;
    then Sum digits(m,10) = 5 by A2,Th649;
    hence contradiction by A1;
  end;
  suppose j=129;
    then Sum digits(m,10) = 12 by A2,Th1250;
    hence contradiction by A1;
  end;
  suppose j=130;
    then Sum digits(m,10) = 10 by A2,Th1252;
    hence contradiction by A1;
  end;
  suppose j=131;
    then Sum digits(m,10) = 17 by A2,Th1254;
    hence contradiction by A1;
  end;
  suppose j=132;
    then Sum digits(m,10) = 6 by A2,Th659;
    hence contradiction by A1;
  end;
  suppose j=133;
    then Sum digits(m,10) = 13 by A2,Th1256;
    hence contradiction by A1;
  end;
  suppose j=134;
    then Sum digits(m,10) = 11 by A2,Th1258;
    hence contradiction by A1;
  end;
  suppose j=135;
    then Sum digits(m,10) = 18 by A2,Th1260;
    hence contradiction by A1;
  end;
  suppose j=136;
    then Sum digits(m,10) = 7 by A2,Th669;
    hence contradiction by A1;
  end;
  suppose j=137;
    then Sum digits(m,10) = 14 by A2,Th1262;
    hence contradiction by A1;
  end;
  suppose j=138;
    then Sum digits(m,10) = 12 by A2,Th1264;
    hence contradiction by A1;
  end;
  suppose j=139;
    then Sum digits(m,10) = 19 by A2,Th1266;
    hence contradiction by A1;
  end;
  suppose j=140;
    then Sum digits(m,10) = 8 by A2,Th679;
    hence contradiction by A1;
  end;
  suppose j=141;
    then Sum digits(m,10) = 15 by A2,Th1268;
    hence contradiction by A1;
  end;
  suppose j=142;
    then Sum digits(m,10) = 13 by A2,Th1270;
    hence contradiction by A1;
  end;
  suppose j=143;
    then Sum digits(m,10) = 20 by A2,Th1272;
    hence contradiction by A1;
  end;
  suppose j=144;
    then Sum digits(m,10) = 9 by A2,Th689;
    hence contradiction by A1;
  end;
  suppose j=145;
    then Sum digits(m,10) = 16 by A2,Th1274;
    hence contradiction by A1;
  end;
  suppose j=146;
    then Sum digits(m,10) = 14 by A2,Th1276;
    hence contradiction by A1;
  end;
  suppose j=147;
    then Sum digits(m,10) = 21 by A2,Th1278;
    hence contradiction by A1;
  end;
  suppose j=148;
    then Sum digits(m,10) = 10 by A2,Th699;
    hence contradiction by A1;
  end;
  suppose j=149;
    then Sum digits(m,10) = 17 by A2,Th1280;
    hence contradiction by A1;
  end;
  suppose j=150;
    then Sum digits(m,10) = 15 by A2,Th1282;
    hence contradiction by A1;
  end;
  suppose j=151;
    then Sum digits(m,10) = 22 by A2,Th1284;
    hence contradiction by A1;
  end;
  suppose j=152;
    then Sum digits(m,10) = 11 by A2,Th709;
    hence contradiction by A1;
  end;
  suppose j=153;
    then Sum digits(m,10) = 18 by A2,Th1286;
    hence contradiction by A1;
  end;
  suppose j=154;
    then Sum digits(m,10) = 16 by A2,Th1288;
    hence contradiction by A1;
  end;
  suppose j=155;
    then Sum digits(m,10) = 23 by A2,Th1290;
    hence contradiction by A1;
  end;
  suppose j=156;
    then Sum digits(m,10) = 12 by A2,Th719;
    hence contradiction by A1;
  end;
  suppose j=157;
    then Sum digits(m,10) = 19 by A2,Th1292;
    hence contradiction by A1;
  end;
  suppose j=158;
    then Sum digits(m,10) = 17 by A2,Th1294;
    hence contradiction by A1;
  end;
  suppose j=159;
    then Sum digits(m,10) = 24 by A2,Th1296;
    hence contradiction by A1;
  end;
  suppose j=160;
    then Sum digits(m,10) = 4 by A2,Th1298;
    hence contradiction by A1;
  end;
  suppose j=161;
    then Sum digits(m,10) = 11 by A2,Th1300;
    hence contradiction by A1;
  end;
  suppose j=162;
    then Sum digits(m,10) = 9 by A2,Th1302;
    hence contradiction by A1;
  end;
  suppose j=163;
    then Sum digits(m,10) = 16 by A2,Th1304;
    hence contradiction by A1;
  end;
  suppose j=164;
    then Sum digits(m,10) = 5 by A2,Th1306;
    hence contradiction by A1;
  end;
  suppose j=165;
    then Sum digits(m,10) = 12 by A2,Th1308;
    hence contradiction by A1;
  end;
  suppose j=166;
    then Sum digits(m,10) = 10 by A2,Th1310;
    hence contradiction by A1;
  end;
  suppose j=167;
    then Sum digits(m,10) = 17 by A2,Th1312;
    hence contradiction by A1;
  end;
  suppose j=168;
    then Sum digits(m,10) = 6 by A2,Th1314;
    hence contradiction by A1;
  end;
  suppose j=169;
    then Sum digits(m,10) = 13 by A2,Th1316;
    hence contradiction by A1;
  end;
  suppose j=170;
    then Sum digits(m,10) = 11 by A2,Th1318;
    hence contradiction by A1;
  end;
  suppose j=171;
    then Sum digits(m,10) = 18 by A2,Th1320;
    hence contradiction by A1;
  end;
  suppose j=172;
    then Sum digits(m,10) = 7 by A2,Th1322;
    hence contradiction by A1;
  end;
  suppose j=173;
    then Sum digits(m,10) = 14 by A2,Th1324;
    hence contradiction by A1;
  end;
  suppose j=174;
    then Sum digits(m,10) = 12 by A2,Th1326;
    hence contradiction by A1;
  end;
  suppose j=175;
    then Sum digits(m,10) = 19 by A2,Th1328;
    hence contradiction by A1;
  end;
  suppose j=176;
    then Sum digits(m,10) = 8 by A2,Th1330;
    hence contradiction by A1;
  end;
  suppose j=177;
    then Sum digits(m,10) = 15 by A2,Th1332;
    hence contradiction by A1;
  end;
  suppose j=178;
    then Sum digits(m,10) = 13 by A2,Th1334;
    hence contradiction by A1;
  end;
  suppose j=179;
    then Sum digits(m,10) = 20 by A2,Th1336;
    hence contradiction by A1;
  end;
  suppose j=180;
    then Sum digits(m,10) = 9 by A2,Th1338;
    hence contradiction by A1;
  end;
  suppose j=181;
    then Sum digits(m,10) = 16 by A2,Th1340;
    hence contradiction by A1;
  end;
  suppose j=182;
    then Sum digits(m,10) = 14 by A2,Th1342;
    hence contradiction by A1;
  end;
  suppose j=183;
    then Sum digits(m,10) = 21 by A2,Th1344;
    hence contradiction by A1;
  end;
  suppose j=184;
    then Sum digits(m,10) = 10 by A2,Th1346;
    hence contradiction by A1;
  end;
  suppose j=185;
    then Sum digits(m,10) = 17 by A2,Th1348;
    hence contradiction by A1;
  end;
  suppose j=186;
    then Sum digits(m,10) = 15 by A2,Th1350;
    hence contradiction by A1;
  end;
  suppose j=187;
    then Sum digits(m,10) = 22 by A2,Th1352;
    hence contradiction by A1;
  end;
  suppose j=188;
    then Sum digits(m,10) = 11 by A2,Th1354;
    hence contradiction by A1;
  end;
  suppose j=189;
    then Sum digits(m,10) = 18 by A2,Th1356;
    hence contradiction by A1;
  end;
  suppose j=190;
    then Sum digits(m,10) = 16 by A2,Th1358;
    hence contradiction by A1;
  end;
  suppose j=191;
    then Sum digits(m,10) = 23 by A2,Th1360;
    hence contradiction by A1;
  end;
  suppose j=192;
    then Sum digits(m,10) = 12 by A2,Th1362;
    hence contradiction by A1;
  end;
  suppose j=193;
    then Sum digits(m,10) = 19 by A2,Th1364;
    hence contradiction by A1;
  end;
  suppose j=194;
    then Sum digits(m,10) = 17 by A2,Th1366;
    hence contradiction by A1;
  end;
  suppose j=195;
    then Sum digits(m,10) = 24 by A2,Th1368;
    hence contradiction by A1;
  end;
  suppose j=196;
    then Sum digits(m,10) = 13 by A2,Th1370;
    hence contradiction by A1;
  end;
  suppose j=197;
    then Sum digits(m,10) = 20 by A2,Th1372;
    hence contradiction by A1;
  end;
  suppose j=198;
    then Sum digits(m,10) = 18 by A2,Th1374;
    hence contradiction by A1;
  end;
end;
