自学Python:奇数平方的有趣性质
任意奇数的平方有这样的有趣性质：任意奇数的平方与1的差是8的倍数。
现在问题来了，请编程验证奇数的这个性质。
我们先来验证该定理的成立。设任意奇数可以表示为2n+1，则将其平方后再减1为：
(2n+1)2-1=(2n+1+1)(2n+1-1)=4n(n+1)
当n为奇数时，n+1为偶数，4n(n+1)=8*n*[(n+1)/2]，显然为8的倍数。
当n为偶数时，n+1为奇数，4n(n+1)=8*n/2*(n+1)，显然为8的倍数。
因此，对于任意的奇数来说，其平方后再减1所得差值一定是8的倍数。
我们用有限范围内的奇数来验证该定理的成立。
在程序中验证1000～2000范围内的所有奇数都具有该性质。
下面直接上代码：
########################
if __name__ == "__main__":
# 对1000～2000范围内的所有奇数进行验证
n = 1001
while n <= 1999:
print("%d: " %(n), end=" ") # 输出当前的奇数
print("(%d*%d-1)/8" %(n, n), end=" ")
print("= %d" %((n*n-1)//8), end=" ")# 输出(n*n-1)/8的值
print("+ %d\n" %((n*n-1)%8), end=" ")# 输出（n*n-1）/8的余数
n += 2
########################
执行结果如下：
1001: (1001*1001-1)/8 = 125250 + 0
1003: (1003*1003-1)/8 = 125751 + 0
1005: (1005*1005-1)/8 = 126253 + 0
1007: (1007*1007-1)/8 = 126756 + 0
1009: (1009*1009-1)/8 = 127260 + 0
1011: (1011*1011-1)/8 = 127765 + 0
1013: (1013*1013-1)/8 = 128271 + 0
1015: (1015*1015-1)/8 = 128778 + 0
1017: (1017*1017-1)/8 = 129286 + 0
1019: (1019*1019-1)/8 = 129795 + 0
1021: (1021*1021-1)/8 = 130305 + 0
1023: (1023*1023-1)/8 = 130816 + 0
1025: (1025*1025-1)/8 = 131328 + 0
1027: (1027*1027-1)/8 = 131841 + 0
1029: (1029*1029-1)/8 = 132355 + 0
1031: (1031*1031-1)/8 = 132870 + 0
1033: (1033*1033-1)/8 = 133386 + 0
1035: (1035*1035-1)/8 = 133903 + 0
1037: (1037*1037-1)/8 = 134421 + 0
1039: (1039*1039-1)/8 = 134940 + 0
1041: (1041*1041-1)/8 = 135460 + 0
1043: (1043*1043-1)/8 = 135981 + 0
1045: (1045*1045-1)/8 = 136503 + 0
1047: (1047*1047-1)/8 = 137026 + 0
1049: (1049*1049-1)/8 = 137550 + 0
1051: (1051*1051-1)/8 = 138075 + 0
1053: (1053*1053-1)/8 = 138601 + 0
1055: (1055*1055-1)/8 = 139128 + 0
1057: (1057*1057-1)/8 = 139656 + 0
1059: (1059*1059-1)/8 = 140185 + 0
1061: (1061*1061-1)/8 = 140715 + 0
1063: (1063*1063-1)/8 = 141246 + 0
1065: (1065*1065-1)/8 = 141778 + 0
1067: (1067*1067-1)/8 = 142311 + 0
1069: (1069*1069-1)/8 = 142845 + 0
1071: (1071*1071-1)/8 = 143380 + 0
1073: (1073*1073-1)/8 = 143916 + 0
1075: (1075*1075-1)/8 = 144453 + 0
1077: (1077*1077-1)/8 = 144991 + 0
1079: (1079*1079-1)/8 = 145530 + 0
1081: (1081*1081-1)/8 = 146070 + 0
1083: (1083*1083-1)/8 = 146611 + 0
1085: (1085*1085-1)/8 = 147153 + 0
1087: (1087*1087-1)/8 = 147696 + 0
1089: (1089*1089-1)/8 = 148240 + 0
1091: (1091*1091-1)/8 = 148785 + 0
1093: (1093*1093-1)/8 = 149331 + 0
1095: (1095*1095-1)/8 = 149878 + 0
1097: (1097*1097-1)/8 = 150426 + 0
1099: (1099*1099-1)/8 = 150975 + 0
1101: (1101*1101-1)/8 = 151525 + 0
1103: (1103*1103-1)/8 = 152076 + 0
1105: (1105*1105-1)/8 = 152628 + 0
1107: (1107*1107-1)/8 = 153181 + 0
1109: (1109*1109-1)/8 = 153735 + 0
1111: (1111*1111-1)/8 = 154290 + 0
1113: (1113*1113-1)/8 = 154846 + 0
1115: (1115*1115-1)/8 = 155403 + 0
1117: (1117*1117-1)/8 = 155961 + 0
1119: (1119*1119-1)/8 = 156520 + 0
1121: (1121*1121-1)/8 = 157080 + 0
1123: (1123*1123-1)/8 = 157641 + 0
1125: (1125*1125-1)/8 = 158203 + 0
1127: (1127*1127-1)/8 = 158766 + 0
1129: (1129*1129-1)/8 = 159330 + 0
1131: (1131*1131-1)/8 = 159895 + 0
1133: (1133*1133-1)/8 = 160461 + 0
1135: (1135*1135-1)/8 = 161028 + 0
1137: (1137*1137-1)/8 = 161596 + 0
1139: (1139*1139-1)/8 = 162165 + 0
1141: (1141*1141-1)/8 = 162735 + 0
1143: (1143*1143-1)/8 = 163306 + 0
1145: (1145*1145-1)/8 = 163878 + 0
1147: (1147*1147-1)/8 = 164451 + 0
1149: (1149*1149-1)/8 = 165025 + 0
1151: (1151*1151-1)/8 = 165600 + 0
1153: (1153*1153-1)/8 = 166176 + 0
1155: (1155*1155-1)/8 = 166753 + 0
1157: (1157*1157-1)/8 = 167331 + 0
1159: (1159*1159-1)/8 = 167910 + 0
1161: (1161*1161-1)/8 = 168490 + 0
1163: (1163*1163-1)/8 = 169071 + 0
1165: (1165*1165-1)/8 = 169653 + 0
1167: (1167*1167-1)/8 = 170236 + 0
1169: (1169*1169-1)/8 = 170820 + 0
1171: (1171*1171-1)/8 = 171405 + 0
1173: (1173*1173-1)/8 = 171991 + 0
1175: (1175*1175-1)/8 = 172578 + 0
1177: (1177*1177-1)/8 = 173166 + 0
1179: (1179*1179-1)/8 = 173755 + 0
1181: (1181*1181-1)/8 = 174345 + 0
1183: (1183*1183-1)/8 = 174936 + 0
1185: (1185*1185-1)/8 = 175528 + 0
1187: (1187*1187-1)/8 = 176121 + 0
1189: (1189*1189-1)/8 = 176715 + 0
1191: (1191*1191-1)/8 = 177310 + 0
1193: (1193*1193-1)/8 = 177906 + 0
1195: (1195*1195-1)/8 = 178503 + 0
1197: (1197*1197-1)/8 = 179101 + 0
1199: (1199*1199-1)/8 = 179700 + 0
1201: (1201*1201-1)/8 = 180300 + 0
1203: (1203*1203-1)/8 = 180901 + 0
1205: (1205*1205-1)/8 = 181503 + 0
1207: (1207*1207-1)/8 = 182106 + 0
1209: (1209*1209-1)/8 = 182710 + 0
1211: (1211*1211-1)/8 = 183315 + 0
1213: (1213*1213-1)/8 = 183921 + 0
1215: (1215*1215-1)/8 = 184528 + 0
1217: (1217*1217-1)/8 = 185136 + 0
1219: (1219*1219-1)/8 = 185745 + 0
1221: (1221*1221-1)/8 = 186355 + 0
1223: (1223*1223-1)/8 = 186966 + 0
1225: (1225*1225-1)/8 = 187578 + 0
1227: (1227*1227-1)/8 = 188191 + 0
1229: (1229*1229-1)/8 = 188805 + 0
1231: (1231*1231-1)/8 = 189420 + 0
1233: (1233*1233-1)/8 = 190036 + 0
1235: (1235*1235-1)/8 = 190653 + 0
1237: (1237*1237-1)/8 = 191271 + 0
1239: (1239*1239-1)/8 = 191890 + 0
1241: (1241*1241-1)/8 = 192510 + 0
1243: (1243*1243-1)/8 = 193131 + 0
1245: (1245*1245-1)/8 = 193753 + 0
1247: (1247*1247-1)/8 = 194376 + 0
1249: (1249*1249-1)/8 = 195000 + 0
1251: (1251*1251-1)/8 = 195625 + 0
1253: (1253*1253-1)/8 = 196251 + 0
1255: (1255*1255-1)/8 = 196878 + 0
1257: (1257*1257-1)/8 = 197506 + 0
1259: (1259*1259-1)/8 = 198135 + 0
1261: (1261*1261-1)/8 = 198765 + 0
1263: (1263*1263-1)/8 = 199396 + 0
1265: (1265*1265-1)/8 = 200028 + 0
1267: (1267*1267-1)/8 = 200661 + 0
1269: (1269*1269-1)/8 = 201295 + 0
1271: (1271*1271-1)/8 = 201930 + 0
1273: (1273*1273-1)/8 = 202566 + 0
1275: (1275*1275-1)/8 = 203203 + 0
1277: (1277*1277-1)/8 = 203841 + 0
1279: (1279*1279-1)/8 = 204480 + 0
1281: (1281*1281-1)/8 = 205120 + 0
1283: (1283*1283-1)/8 = 205761 + 0
1285: (1285*1285-1)/8 = 206403 + 0
1287: (1287*1287-1)/8 = 207046 + 0
1289: (1289*1289-1)/8 = 207690 + 0
1291: (1291*1291-1)/8 = 208335 + 0
1293: (1293*1293-1)/8 = 208981 + 0
1295: (1295*1295-1)/8 = 209628 + 0
1297: (1297*1297-1)/8 = 210276 + 0
1299: (1299*1299-1)/8 = 210925 + 0
1301: (1301*1301-1)/8 = 211575 + 0
1303: (1303*1303-1)/8 = 212226 + 0
1305: (1305*1305-1)/8 = 212878 + 0
1307: (1307*1307-1)/8 = 213531 + 0
1309: (1309*1309-1)/8 = 214185 + 0
1311: (1311*1311-1)/8 = 214840 + 0
1313: (1313*1313-1)/8 = 215496 + 0
1315: (1315*1315-1)/8 = 216153 + 0
1317: (1317*1317-1)/8 = 216811 + 0
1319: (1319*1319-1)/8 = 217470 + 0
1321: (1321*1321-1)/8 = 218130 + 0
1323: (1323*1323-1)/8 = 218791 + 0
1325: (1325*1325-1)/8 = 219453 + 0
1327: (1327*1327-1)/8 = 220116 + 0
1329: (1329*1329-1)/8 = 220780 + 0
1331: (1331*1331-1)/8 = 221445 + 0
1333: (1333*1333-1)/8 = 222111 + 0
1335: (1335*1335-1)/8 = 222778 + 0
1337: (1337*1337-1)/8 = 223446 + 0
1339: (1339*1339-1)/8 = 224115 + 0
1341: (1341*1341-1)/8 = 224785 + 0
1343: (1343*1343-1)/8 = 225456 + 0
1345: (1345*1345-1)/8 = 226128 + 0
1347: (1347*1347-1)/8 = 226801 + 0
1349: (1349*1349-1)/8 = 227475 + 0
1351: (1351*1351-1)/8 = 228150 + 0
1353: (1353*1353-1)/8 = 228826 + 0
1355: (1355*1355-1)/8 = 229503 + 0
1357: (1357*1357-1)/8 = 230181 + 0
1359: (1359*1359-1)/8 = 230860 + 0
1361: (1361*1361-1)/8 = 231540 + 0
1363: (1363*1363-1)/8 = 232221 + 0
1365: (1365*1365-1)/8 = 232903 + 0
1367: (1367*1367-1)/8 = 233586 + 0
1369: (1369*1369-1)/8 = 234270 + 0
1371: (1371*1371-1)/8 = 234955 + 0
1373: (1373*1373-1)/8 = 235641 + 0
1375: (1375*1375-1)/8 = 236328 + 0
1377: (1377*1377-1)/8 = 237016 + 0
1379: (1379*1379-1)/8 = 237705 + 0
1381: (1381*1381-1)/8 = 238395 + 0
1383: (1383*1383-1)/8 = 239086 + 0
1385: (1385*1385-1)/8 = 239778 + 0
1387: (1387*1387-1)/8 = 240471 + 0
1389: (1389*1389-1)/8 = 241165 + 0
1391: (1391*1391-1)/8 = 241860 + 0
1393: (1393*1393-1)/8 = 242556 + 0
1395: (1395*1395-1)/8 = 243253 + 0
1397: (1397*1397-1)/8 = 243951 + 0
1399: (1399*1399-1)/8 = 244650 + 0
1401: (1401*1401-1)/8 = 245350 + 0
1403: (1403*1403-1)/8 = 246051 + 0
1405: (1405*1405-1)/8 = 246753 + 0
1407: (1407*1407-1)/8 = 247456 + 0
1409: (1409*1409-1)/8 = 248160 + 0
1411: (1411*1411-1)/8 = 248865 + 0
1413: (1413*1413-1)/8 = 249571 + 0
1415: (1415*1415-1)/8 = 250278 + 0
1417: (1417*1417-1)/8 = 250986 + 0
1419: (1419*1419-1)/8 = 251695 + 0
1421: (1421*1421-1)/8 = 252405 + 0
1423: (1423*1423-1)/8 = 253116 + 0
1425: (1425*1425-1)/8 = 253828 + 0
1427: (1427*1427-1)/8 = 254541 + 0
1429: (1429*1429-1)/8 = 255255 + 0
1431: (1431*1431-1)/8 = 255970 + 0
1433: (1433*1433-1)/8 = 256686 + 0
1435: (1435*1435-1)/8 = 257403 + 0
1437: (1437*1437-1)/8 = 258121 + 0
1439: (1439*1439-1)/8 = 258840 + 0
1441: (1441*1441-1)/8 = 259560 + 0
1443: (1443*1443-1)/8 = 260281 + 0
1445: (1445*1445-1)/8 = 261003 + 0
1447: (1447*1447-1)/8 = 261726 + 0
1449: (1449*1449-1)/8 = 262450 + 0
1451: (1451*1451-1)/8 = 263175 + 0
1453: (1453*1453-1)/8 = 263901 + 0
1455: (1455*1455-1)/8 = 264628 + 0
1457: (1457*1457-1)/8 = 265356 + 0
1459: (1459*1459-1)/8 = 266085 + 0
1461: (1461*1461-1)/8 = 266815 + 0
1463: (1463*1463-1)/8 = 267546 + 0
1465: (1465*1465-1)/8 = 268278 + 0
1467: (1467*1467-1)/8 = 269011 + 0
1469: (1469*1469-1)/8 = 269745 + 0
1471: (1471*1471-1)/8 = 270480 + 0
1473: (1473*1473-1)/8 = 271216 + 0
1475: (1475*1475-1)/8 = 271953 + 0
1477: (1477*1477-1)/8 = 272691 + 0
1479: (1479*1479-1)/8 = 273430 + 0
1481: (1481*1481-1)/8 = 274170 + 0
1483: (1483*1483-1)/8 = 274911 + 0
1485: (1485*1485-1)/8 = 275653 + 0
1487: (1487*1487-1)/8 = 276396 + 0
1489: (1489*1489-1)/8 = 277140 + 0
1491: (1491*1491-1)/8 = 277885 + 0
1493: (1493*1493-1)/8 = 278631 + 0
1495: (1495*1495-1)/8 = 279378 + 0
1497: (1497*1497-1)/8 = 280126 + 0
1499: (1499*1499-1)/8 = 280875 + 0
1501: (1501*1501-1)/8 = 281625 + 0
1503: (1503*1503-1)/8 = 282376 + 0
1505: (1505*1505-1)/8 = 283128 + 0
1507: (1507*1507-1)/8 = 283881 + 0
1509: (1509*1509-1)/8 = 284635 + 0
1511: (1511*1511-1)/8 = 285390 + 0
1513: (1513*1513-1)/8 = 286146 + 0
1515: (1515*1515-1)/8 = 286903 + 0
1517: (1517*1517-1)/8 = 287661 + 0
1519: (1519*1519-1)/8 = 288420 + 0
1521: (1521*1521-1)/8 = 289180 + 0
1523: (1523*1523-1)/8 = 289941 + 0
1525: (1525*1525-1)/8 = 290703 + 0
1527: (1527*1527-1)/8 = 291466 + 0
1529: (1529*1529-1)/8 = 292230 + 0
1531: (1531*1531-1)/8 = 292995 + 0
1533: (1533*1533-1)/8 = 293761 + 0
1535: (1535*1535-1)/8 = 294528 + 0
1537: (1537*1537-1)/8 = 295296 + 0
1539: (1539*1539-1)/8 = 296065 + 0
1541: (1541*1541-1)/8 = 296835 + 0
1543: (1543*1543-1)/8 = 297606 + 0
1545: (1545*1545-1)/8 = 298378 + 0
1547: (1547*1547-1)/8 = 299151 + 0
1549: (1549*1549-1)/8 = 299925 + 0
1551: (1551*1551-1)/8 = 300700 + 0
1553: (1553*1553-1)/8 = 301476 + 0
1555: (1555*1555-1)/8 = 302253 + 0
1557: (1557*1557-1)/8 = 303031 + 0
1559: (1559*1559-1)/8 = 303810 + 0
1561: (1561*1561-1)/8 = 304590 + 0
1563: (1563*1563-1)/8 = 305371 + 0
1565: (1565*1565-1)/8 = 306153 + 0
1567: (1567*1567-1)/8 = 306936 + 0
1569: (1569*1569-1)/8 = 307720 + 0
1571: (1571*1571-1)/8 = 308505 + 0
1573: (1573*1573-1)/8 = 309291 + 0
1575: (1575*1575-1)/8 = 310078 + 0
1577: (1577*1577-1)/8 = 310866 + 0
1579: (1579*1579-1)/8 = 311655 + 0
1581: (1581*1581-1)/8 = 312445 + 0
1583: (1583*1583-1)/8 = 313236 + 0
1585: (1585*1585-1)/8 = 314028 + 0
1587: (1587*1587-1)/8 = 314821 + 0
1589: (1589*1589-1)/8 = 315615 + 0
1591: (1591*1591-1)/8 = 316410 + 0
1593: (1593*1593-1)/8 = 317206 + 0
1595: (1595*1595-1)/8 = 318003 + 0
1597: (1597*1597-1)/8 = 318801 + 0
1599: (1599*1599-1)/8 = 319600 + 0
1601: (1601*1601-1)/8 = 320400 + 0
1603: (1603*1603-1)/8 = 321201 + 0
1605: (1605*1605-1)/8 = 322003 + 0
1607: (1607*1607-1)/8 = 322806 + 0
1609: (1609*1609-1)/8 = 323610 + 0
1611: (1611*1611-1)/8 = 324415 + 0
1613: (1613*1613-1)/8 = 325221 + 0
1615: (1615*1615-1)/8 = 326028 + 0
1617: (1617*1617-1)/8 = 326836 + 0
1619: (1619*1619-1)/8 = 327645 + 0
1621: (1621*1621-1)/8 = 328455 + 0
1623: (1623*1623-1)/8 = 329266 + 0
1625: (1625*1625-1)/8 = 330078 + 0
1627: (1627*1627-1)/8 = 330891 + 0
1629: (1629*1629-1)/8 = 331705 + 0
1631: (1631*1631-1)/8 = 332520 + 0
1633: (1633*1633-1)/8 = 333336 + 0
1635: (1635*1635-1)/8 = 334153 + 0
1637: (1637*1637-1)/8 = 334971 + 0
1639: (1639*1639-1)/8 = 335790 + 0
1641: (1641*1641-1)/8 = 336610 + 0
1643: (1643*1643-1)/8 = 337431 + 0
1645: (1645*1645-1)/8 = 338253 + 0
1647: (1647*1647-1)/8 = 339076 + 0
1649: (1649*1649-1)/8 = 339900 + 0
1651: (1651*1651-1)/8 = 340725 + 0
1653: (1653*1653-1)/8 = 341551 + 0
1655: (1655*1655-1)/8 = 342378 + 0
1657: (1657*1657-1)/8 = 343206 + 0
1659: (1659*1659-1)/8 = 344035 + 0
1661: (1661*1661-1)/8 = 344865 + 0
1663: (1663*1663-1)/8 = 345696 + 0
1665: (1665*1665-1)/8 = 346528 + 0
1667: (1667*1667-1)/8 = 347361 + 0
1669: (1669*1669-1)/8 = 348195 + 0
1671: (1671*1671-1)/8 = 349030 + 0
1673: (1673*1673-1)/8 = 349866 + 0
1675: (1675*1675-1)/8 = 350703 + 0
1677: (1677*1677-1)/8 = 351541 + 0
1679: (1679*1679-1)/8 = 352380 + 0
1681: (1681*1681-1)/8 = 353220 + 0
1683: (1683*1683-1)/8 = 354061 + 0
1685: (1685*1685-1)/8 = 354903 + 0
1687: (1687*1687-1)/8 = 355746 + 0
1689: (1689*1689-1)/8 = 356590 + 0
1691: (1691*1691-1)/8 = 357435 + 0
1693: (1693*1693-1)/8 = 358281 + 0
1695: (1695*1695-1)/8 = 359128 + 0
1697: (1697*1697-1)/8 = 359976 + 0
1699: (1699*1699-1)/8 = 360825 + 0
1701: (1701*1701-1)/8 = 361675 + 0
1703: (1703*1703-1)/8 = 362526 + 0
1705: (1705*1705-1)/8 = 363378 + 0
1707: (1707*1707-1)/8 = 364231 + 0
1709: (1709*1709-1)/8 = 365085 + 0
1711: (1711*1711-1)/8 = 365940 + 0
1713: (1713*1713-1)/8 = 366796 + 0
1715: (1715*1715-1)/8 = 367653 + 0
1717: (1717*1717-1)/8 = 368511 + 0
1719: (1719*1719-1)/8 = 369370 + 0
1721: (1721*1721-1)/8 = 370230 + 0
1723: (1723*1723-1)/8 = 371091 + 0
1725: (1725*1725-1)/8 = 371953 + 0
1727: (1727*1727-1)/8 = 372816 + 0
1729: (1729*1729-1)/8 = 373680 + 0
1731: (1731*1731-1)/8 = 374545 + 0
1733: (1733*1733-1)/8 = 375411 + 0
1735: (1735*1735-1)/8 = 376278 + 0
1737: (1737*1737-1)/8 = 377146 + 0
1739: (1739*1739-1)/8 = 378015 + 0
1741: (1741*1741-1)/8 = 378885 + 0
1743: (1743*1743-1)/8 = 379756 + 0
1745: (1745*1745-1)/8 = 380628 + 0
1747: (1747*1747-1)/8 = 381501 + 0
1749: (1749*1749-1)/8 = 382375 + 0
1751: (1751*1751-1)/8 = 383250 + 0
1753: (1753*1753-1)/8 = 384126 + 0
1755: (1755*1755-1)/8 = 385003 + 0
1757: (1757*1757-1)/8 = 385881 + 0
1759: (1759*1759-1)/8 = 386760 + 0
1761: (1761*1761-1)/8 = 387640 + 0
1763: (1763*1763-1)/8 = 388521 + 0
1765: (1765*1765-1)/8 = 389403 + 0
1767: (1767*1767-1)/8 = 390286 + 0
1769: (1769*1769-1)/8 = 391170 + 0
1771: (1771*1771-1)/8 = 392055 + 0
1773: (1773*1773-1)/8 = 392941 + 0
1775: (1775*1775-1)/8 = 393828 + 0
1777: (1777*1777-1)/8 = 394716 + 0
1779: (1779*1779-1)/8 = 395605 + 0
1781: (1781*1781-1)/8 = 396495 + 0
1783: (1783*1783-1)/8 = 397386 + 0
1785: (1785*1785-1)/8 = 398278 + 0
1787: (1787*1787-1)/8 = 399171 + 0
1789: (1789*1789-1)/8 = 400065 + 0
1791: (1791*1791-1)/8 = 400960 + 0
1793: (1793*1793-1)/8 = 401856 + 0
1795: (1795*1795-1)/8 = 402753 + 0
1797: (1797*1797-1)/8 = 403651 + 0
1799: (1799*1799-1)/8 = 404550 + 0
1801: (1801*1801-1)/8 = 405450 + 0
1803: (1803*1803-1)/8 = 406351 + 0
1805: (1805*1805-1)/8 = 407253 + 0
1807: (1807*1807-1)/8 = 408156 + 0
1809: (1809*1809-1)/8 = 409060 + 0
1811: (1811*1811-1)/8 = 409965 + 0
1813: (1813*1813-1)/8 = 410871 + 0
1815: (1815*1815-1)/8 = 411778 + 0
1817: (1817*1817-1)/8 = 412686 + 0
1819: (1819*1819-1)/8 = 413595 + 0
1821: (1821*1821-1)/8 = 414505 + 0
1823: (1823*1823-1)/8 = 415416 + 0
1825: (1825*1825-1)/8 = 416328 + 0
1827: (1827*1827-1)/8 = 417241 + 0
1829: (1829*1829-1)/8 = 418155 + 0
1831: (1831*1831-1)/8 = 419070 + 0
1833: (1833*1833-1)/8 = 419986 + 0
1835: (1835*1835-1)/8 = 420903 + 0
1837: (1837*1837-1)/8 = 421821 + 0
1839: (1839*1839-1)/8 = 422740 + 0
1841: (1841*1841-1)/8 = 423660 + 0
1843: (1843*1843-1)/8 = 424581 + 0
1845: (1845*1845-1)/8 = 425503 + 0
1847: (1847*1847-1)/8 = 426426 + 0
1849: (1849*1849-1)/8 = 427350 + 0
1851: (1851*1851-1)/8 = 428275 + 0
1853: (1853*1853-1)/8 = 429201 + 0
1855: (1855*1855-1)/8 = 430128 + 0
1857: (1857*1857-1)/8 = 431056 + 0
1859: (1859*1859-1)/8 = 431985 + 0
1861: (1861*1861-1)/8 = 432915 + 0
1863: (1863*1863-1)/8 = 433846 + 0
1865: (1865*1865-1)/8 = 434778 + 0
1867: (1867*1867-1)/8 = 435711 + 0
1869: (1869*1869-1)/8 = 436645 + 0
1871: (1871*1871-1)/8 = 437580 + 0
1873: (1873*1873-1)/8 = 438516 + 0
1875: (1875*1875-1)/8 = 439453 + 0
1877: (1877*1877-1)/8 = 440391 + 0
1879: (1879*1879-1)/8 = 441330 + 0
1881: (1881*1881-1)/8 = 442270 + 0
1883: (1883*1883-1)/8 = 443211 + 0
1885: (1885*1885-1)/8 = 444153 + 0
1887: (1887*1887-1)/8 = 445096 + 0
1889: (1889*1889-1)/8 = 446040 + 0
1891: (1891*1891-1)/8 = 446985 + 0
1893: (1893*1893-1)/8 = 447931 + 0
1895: (1895*1895-1)/8 = 448878 + 0
1897: (1897*1897-1)/8 = 449826 + 0
1899: (1899*1899-1)/8 = 450775 + 0
1901: (1901*1901-1)/8 = 451725 + 0
1903: (1903*1903-1)/8 = 452676 + 0
1905: (1905*1905-1)/8 = 453628 + 0
1907: (1907*1907-1)/8 = 454581 + 0
1909: (1909*1909-1)/8 = 455535 + 0
1911: (1911*1911-1)/8 = 456490 + 0
1913: (1913*1913-1)/8 = 457446 + 0
1915: (1915*1915-1)/8 = 458403 + 0
1917: (1917*1917-1)/8 = 459361 + 0
1919: (1919*1919-1)/8 = 460320 + 0
1921: (1921*1921-1)/8 = 461280 + 0
1923: (1923*1923-1)/8 = 462241 + 0
1925: (1925*1925-1)/8 = 463203 + 0
1927: (1927*1927-1)/8 = 464166 + 0
1929: (1929*1929-1)/8 = 465130 + 0
1931: (1931*1931-1)/8 = 466095 + 0
1933: (1933*1933-1)/8 = 467061 + 0
1935: (1935*1935-1)/8 = 468028 + 0
1937: (1937*1937-1)/8 = 468996 + 0
1939: (1939*1939-1)/8 = 469965 + 0
1941: (1941*1941-1)/8 = 470935 + 0
1943: (1943*1943-1)/8 = 471906 + 0
1945: (1945*1945-1)/8 = 472878 + 0
1947: (1947*1947-1)/8 = 473851 + 0
1949: (1949*1949-1)/8 = 474825 + 0
1951: (1951*1951-1)/8 = 475800 + 0
1953: (1953*1953-1)/8 = 476776 + 0
1955: (1955*1955-1)/8 = 477753 + 0
1957: (1957*1957-1)/8 = 478731 + 0
1959: (1959*1959-1)/8 = 479710 + 0
1961: (1961*1961-1)/8 = 480690 + 0
1963: (1963*1963-1)/8 = 481671 + 0
1965: (1965*1965-1)/8 = 482653 + 0
1967: (1967*1967-1)/8 = 483636 + 0
1969: (1969*1969-1)/8 = 484620 + 0
1971: (1971*1971-1)/8 = 485605 + 0
1973: (1973*1973-1)/8 = 486591 + 0
1975: (1975*1975-1)/8 = 487578 + 0
1977: (1977*1977-1)/8 = 488566 + 0
1979: (1979*1979-1)/8 = 489555 + 0
1981: (1981*1981-1)/8 = 490545 + 0
1983: (1983*1983-1)/8 = 491536 + 0
1985: (1985*1985-1)/8 = 492528 + 0
1987: (1987*1987-1)/8 = 493521 + 0
1989: (1989*1989-1)/8 = 494515 + 0
1991: (1991*1991-1)/8 = 495510 + 0
1993: (1993*1993-1)/8 = 496506 + 0
1995: (1995*1995-1)/8 = 497503 + 0
1997: (1997*1997-1)/8 = 498501 + 0
1999: (1999*1999-1)/8 = 499500 + 0
________________END______________
