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Polygonal Numbers

Triangular Numbers
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The first few triangle numbers are 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666, 703, 741, 780, 820, 861, 903, 946, 990, 1035, 1081, 1128, 1176, 1225, 1275, 1326, 1378, 1431, 1485, 1540, 1596, 1653, 1711, 1770, 1830, 1891, 1953, 2016, 2080...

Square Numbers
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The first few Square Numbers are 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400, 441, 484, 529, 576, 625, 676, 729, 784, 841, 900, 961, 1024, 1089, 1156, 1225, 1296, 1369, 1444, 1521, 1600, 1681, 1764, 1849, 1936, 2025...

Pentagonal Numbers
mathworld.wolfram.com/PentagonalNumber...
The first few of which are 1, 5, 12, 22, 35, 51, 70, 92, 117, 145, 176, 210, 247, 287, 330, 376, 425, 477, 532, 590, 651, 715, 782, 852, 925, 1001, 1080, 1162, 1247, 1335, 1426, 1520, 1617, 1717, 1820, 1926, 2035, 2147, 2262, 2380, 2501, 2625, 2752, 2882, 3015, 3151...

Hexagonal Numbers
mathworld.wolfram.com/HexagonalNumber...
1, 6, 15, 28, 45, 66, 91, 120, 153, 190, 231, 276, 325, 378, 435, 496, 561, 630, 703, 780, 861, 946, 1035, 1128, 1225, 1326, 1431, 1540, 1653, 1770, 1891, 2016, 2145, 2278, 2415, 2556, 2701, 2850, 3003, 3160, 3321, 3486, 3655, 3828, 4005, 4186, 4371, 4560...

Heptagonal Numbers
mathworld.wolfram.com/HeptagonalNumber...
1, 7, 18, 34, 55, 81, 112, 148, 189, 235, 286, 342, 403, 469, 540, 616, 697, 783, 874, 970, 1071, 1177, 1288, 1404, 1525, 1651, 1782, 1918, 2059, 2205, 2356, 2512, 2673, 2839, 3010, 3186, 3367, 3553, 3744, 3940, 4141, 4347, 4558, 4774, 4995, 5221, 5452, 5688...

Octagonal Numbers
mathworld.wolfram.com/OctagonalNumber...
1, 8, 21, 40, 65, 96, 133, 176, 225, 280, 341, 408, 481, 560, 645, 736, 833, 936, 1045, 1160, 1281, 1408, 1541, 1680, 1825, 1976, 2133, 2296, 2465, 2640, 2821, 3008, 3201, 3400, 3605, 3816, 4033, 4256, 4485, 4720, 4961, 5208, 5461...

Nonagonal Numbers
1, 9, 24, 46, 75, 111, 154, 204, 261, 325, 396, 474, 559, 651, 750, 856, 969, 1089, 1216, 1350, 1491, 1639, 1794, 1956, 2125, 2301, 2484, 2674, 2871, 3075, 3286, 3504, 3729, 3961, 4200, 4446, 4699, 4959, 5226, 5500, 5781, 6069, 6364...

Decagonal Numbers
mathworld.wolfram.com/DecagonalNumber...
1, 10, 27, 52, 85, 126, 175, 232, 297, 370, 451, 540, 637, 742, 855, 976, 1105, 1242, 1387, 1540, 1701, 1870, 2047, 2232, 2425, 2626, 2835, 3052, 3277, 3510, 3751, 4000, 4257, 4522, 4795, 5076, 5365, 5662, 5967, 6280, 6601, 6930, 7267, 7612, 7965, 8326..

11-gonal Numbers
1, 11, 30, 58, 95, 141, 196, 260, 333, 415, 506, 606, 715, 833, 960, 1096, 1241, 1395, 1558, 1730, 1911, 2101, 2300, 2508, 2725, 2951, 3186, 3430, 3683, 3945, 4216, 4496, 4785, 5083, 5390, 5706, 6031, 6365, 6708, 7060, 7421, 7791, 8170..

12-gonal Numbers
1, 12, 33, 64, 105, 156, 217, 288, 369, 460, 561, 672, 793, 924, 1065, 1216, 1377, 1548, 1729, 1920, 2121, 2332, 2553, 2784, 3025, 3276, 3537, 3808, 4089, 4380, 4681, 4992, 5313, 5644, 5985, 6336, 6697, 7068, 7449, 7840, 8241, 8652..

13-gonal Numbers
1, 13, 36, 70, 115, 171, 238, 316, 405, 505, 616, 738, 871, 1015, 1170, 1336, 1513, 1701, 1900, 2110, 2331, 2563, 2806, 3060, 3325, 3601, 3888, 4186, 4495, 4815, 5146, 5488, 5841, 6205, 6580, 6966, 7363, 7771, 8190, 8620, 9061, 9513..

14-gonal Numbers
1, 14, 39, 76, 125, 186, 259, 344, 441, 550, 671, 804, 949, 1106, 1275, 1456, 1649, 1854, 2071, 2300, 2541, 2794, 3059, 3336, 3625, 3926, 4239, 4564, 4901, 5250, 5611, 5984, 6369, 6766, 7175, 7596, 8029, 8474, 8931, 9400, 9881, 10374..

15-gonal Numbers
1, 15, 42, 82, 135, 201, 280, 372, 477, 595, 726, 870, 1027, 1197, 1380, 1576, 1785, 2007, 2242, 2490, 2751, 3025, 3312, 3612, 3925, 4251, 4590, 4942, 5307, 5685, 6076, 6480, 6897, 7327, 7770, 8226, 8695, 9177, 9672, 10180, 10701..

16-gonal Numbers
1, 16, 45, 88, 145, 216, 301, 400, 513, 640, 781, 936, 1105, 1288, 1485, 1696, 1921, 2160, 2413, 2680, 2961, 3256, 3565, 3888, 4225, 4576, 4941, 5320, 5713, 6120, 6541, 6976, 7425, 7888, 8365, 8856, 9361, 9880, 10413, 10960, 11521..

17-gonal Numbers
1, 17, 48, 94, 155, 231, 322, 428, 549, 685, 836, 1002, 1183, 1379, 1590, 1816, 2057, 2313, 2584, 2870, 3171, 3487, 3818, 4164, 4525, 4901, 5292, 5698, 6119, 6555, 7006, 7472, 7953, 8449, 8960, 9486, 10027, 10583, 11154, 11740, 12341..

18-gonal Numbers
1, 18, 51, 100, 165, 246, 343, 456, 585, 730, 891, 1068, 1261, 1470, 1695, 1936, 2193, 2466, 2755, 3060, 3381, 3718, 4071, 4440, 4825, 5226, 5643, 6076, 6525, 6990, 7471, 7968, 8481, 9010, 9555, 10116, 10693, 11286, 11895, 12520..

19-gonal Numbers
1, 19, 54, 106, 175, 261, 364, 484, 621, 775, 946, 1561, 1800, 2056, 2329, 2619, 2926, 3250, 3591, 3949, 4324, 4716, 5125, 5551, 5994, 6454, 6931, 7425, 7936, 8464, 9009, 9571, 10150, 10746, 11359, 11989, 12636, 13300..

20-gonal Numbers
1, 20, 57, 112, 185, 276, 385, 512, 657, 820, 1001, 1200, 1417, 1652, 1905, 2176, 2465, 2772, 3097, 3440, 3801, 4180, 4577, 4992, 5425, 5876, 6345, 6832, 7337, 7860, 8401, 8960, 9537, 10132, 10745, 11376, 12025, 12692, 13377, 14080..

21-gonal Numbers
1, 21, 60, 118, 195, 291, 406, 540, 693, 865, 1056, 1266, 1495, 1743, 2010, 2296, 2601, 2925, 3268, 3630, 4011, 4411, 4830, 5268, 5725, 6201, 6696, 7210, 7743, 8295, 8866, 9456, 10065, 10693, 11340, 12006, 12691, 13395, 14118 ..

22-gonal Numbers
1, 22, 63, 124, 205, 306, 427, 568, 729, 910, 1111, 1332, 1573, 1834, 2115, 2416, 2737, 3078, 3439, 3820, 4221, 4642, 5083, 5544, 6025, 6526, 7047, 7588, 8149, 8730, 9331, 9952, 10593, 11254, 11935, 12636, 13357, 14098, 14859..

23-gonal Numbers
1, 23, 66, 130, 215, 321, 448, 596, 765, 955, 1166, 1398, 1651, 1925, 2220, 2536, 2873, 3231, 3610, 4010, 4431, 4873, 5336, 5820, 6325, 6851, 7398, 7966, 8555, 9165, 9796, 10448, 11121, 11815, 12530, 13266, 14023, 14801, 15600..

24-gonal Numbers
1, 24, 69, 136, 225, 336, 469, 624, 801, 1000, 1221, 1464, 1729, 2016, 2325, 2656, 3009, 3384, 3781, 4200, 4641, 5104, 5589, 6096, 6625, 7176, 7749, 8344, 8961, 9600, 10261, 10944, 11649, 12376, 13125, 13896, 14689, 15504, 16341..

25-gonal Numbers
1, 25, 72, 142, 235, 351, 490, 652, 837, 1045, 1276, 1530, 1807, 2107..

26-gonal Numbers
1, 26, 75, 148, 245, 366, 511, 680, 873, 1090, 1331, 1596, 1885, 2198..

27-gonal Numbers
1, 27, 78, 154, 255, 381, 532, 708, 909, 1135, 1386, 1662, 1963, 2289..

28-gonal Numbers
1, 28, 81, 160, 265, 396, 553, 736, 945, 1180, 1441, 1728, 2041..

29-gonal Numbers
1, 29, 84, 166, 275, 411, 574, 764, 981, 1225, 1496, 1794, 2119..

30-gonal Numbers
1, 30, 87, 172, 285, 426, 595, 792, 1017, 1270, 1551, 1860, 2197..

31-gonal Numbers
1, 31, 90, 178, 295, 441, 616, 820, 1053, 1315, 1606, 1926, 2275..

32-gonal Numbers
1, 32, 93, 184, 305, 456, 637, 848, 1089, 1360, 1661, 1992, 2353..

33-gonal Numbers
1, 33, 96, 190, 315, 471, 658, 876, 1225, 1405, 1716, 2058..

34-gonal Numbers
1, 34, 99, 196, 325, 486, 679, 904, 1161, 1450, 1771, 2124..

35-gonal Numbers
1, 35, 102, 202, 335, 501, 700, 932, 1197, 1495, 1826, 2190..

36-gonal Numbers
1, 36, 105, 208, 345, 516, 721, 960, 1233, 1540, 1881, 2256..

37-gonal Numbers
1, 37, 108, 214, 355, 531, 742, 988, 1269, 1585, 1936, 2322..

38-gonal Numbers
1, 38, 111, 220, 365, 546, 763, 1016, 1305, 1630, 1991, 2388..

39-gonal Numbers
1, 39, 114, 226, 375, 561, 784, 1044, 1341, 1675, 2046..

40-gonal Numbers
1, 40, 117, 232, 385, 576, 805, 1072, 1377, 1720, 2101..

41-gonal Numbers
1, 41, 120, 238, 395, 591, 826, 1100, 1413, 1765, 2156..

42-gonal Numbers
1, 42, 123, 244, 405, 597, 847, 1128, 1449, 1810, 2211..

43-gonal Numbers
1, 43, 126, 250, 415, 603, 868, 1156, 1485, 1855, 2266..

44-gonal Numbers
1, 44, 129, 256, 425, 618, 889, 1184, 1521, 1900, 2321..

45-gonal Numbers
1, 45, 132, 262, 435, 633, 910, 1212, 1557, 1945, 2376..

46-gonal Numbers
1, 46, 135, 268, 445, 648, 931, 1240, 1593, 1990, 2431..

47-gonal Numbers
1, 47, 138, 274, 455, 663, 952, 1268, 1629, 2035..

48-gonal Numbers
1, 48, 141, 280, 465, 678, 973, 1296, 1665, 2080..

49-gonal Numbers
1, 49, 144, 286, 475, 693, 994, 1324, 1701, 2125..

50-gonal Numbers
1, 50, 147, 292, 485, 708, 1015, 1352, 1737, 2170..

51-gonal Numbers
1, 51, 150, 298, 495, 723, 1036, 1380, 1773, 2215..

52-gonal Numbers
1, 52, 153, 304, 505, 738, 1057, 1408, 1809, 2260..

53-gonal Numbers
1, 53, 156, 310, 515, 753, 1078, 1436, 1845, 2305..

54-gonal Numbers
1, 54, 159, 316, 525, 768, 1099, 1464, 1881, 2350..

55-gonal Numbers
1, 55, 162, 322, 535, 783, 1120, 1492, 1917, 2395..

56-gonal Numbers
1, 56, 165, 328, 545, 798, 1141, 1520, 1953, 2440..

57-gonal Numbers
1, 57, 168, 334, 555, 813, 1162, 1548, 1989, 2485..

58-gonal Numbers
1, 58, 171, 340, 656, 828, 1183, 1576, 2025..

59-gonal Numbers
1, 59, 174, 346, 575, 843, 1204, 1604, 2061..

60-gonal Numbers
1, 60, 177, 352, 585, 858, 1225, 1632, 2097..

61-gonal Numbers
1, 61, 180, 358, 595, 873, 1246, 1660, 2133..

62-gonal Numbers
1, 62, 183, 364, 605, 888, 1267, 1688, 2169..

63-gonal Numbers
1, 63, 186, 370, 615, 903, 1288, 1716, 2205..

64-gonal Numbers
1, 64, 189, 376, 625, 918, 1309, 1744, 2241..

65-gonal Numbers
1, 65, 192, 382, 635, 933, 1330, 1772, 2277..

66-gonal Numbers
1, 66, 195, 388, 645, 948, 1351, 1800, 2313..

67-gonal Numbers
1, 67, 198, 394, 655, 963, 1372, 1828, 2349..

68-gonal Numbers
1, 68, 201, 400, 665, 978, 1393, 1856, 2385..

69-gonal Numbers
1, 69, 204, 406, 675, 993, 1414, 1884, 2421..

70-gonal Numbers
1, 70, 207, 412, 685, 1008, 1435, 1912, 2457..

71-gonal Numbers
1, 71, 210, 418, 695, 1023, 1456, 1940, 2493..

72-gonal Numbers
1, 72, 213, 424, 705, 1038, 1477, 1968, 2529..

73-gonal Numbers
1, 73, 216, 430, 715, 1053, 1498, 1966, 2565..

74-gonal Numbers
1, 74, 219, 436, 725, 1068, 1519, 2024..

75-gonal Numbers
1, 75, 222, 442, 735, 1083, 1540, 2052..

76-gonal Numbers
1, 76, 225, 448, 745, 1098, 1561, 2080..

77-gonal Numbers
1, 77, 228, 454, 755, 1113, 1582, 2108..

78-gonal Numbers
1, 78, 231, 460, 765, 1128, 1603, 2136..

79-gonal Numbers
1, 79, 234, 466, 775, 1143, 1624, 2164..

80-gonal Numbers
1, 80, 237, 472, 785, 1158, 1645, 2192..

81-gonal Numbers
1, 81, 240, 478, 795, 1173, 1666, 2220..

82-gonal Numbers
1, 82, 243, 484, 805, 1188, 1687, 2248..

83-gonal Numbers
1, 83, 246, 490, 815, 1203, 1708, 2276..

84-gonal Numbers
1, 84, 249, 496, 825, 1218, 1729, 2304..

85-gonal Numbers
1, 85, 252, 502, 835, 1233, 1750, 2332..

86-gonal Numbers
1, 86, 255, 508, 845, 1248, 1771, 2360..

87-gonal Numbers
1, 87, 258, 514, 855, 1263, 1792, 2388..

88-gonal Numbers
1, 88, 261, 520, 865, 1278, 1813, 2416..

89-gonal Numbers
1, 89, 264, 526, 875, 1293, 1834, 2444..

90-gonal Numbers
1, 90, 267, 532, 885, 1308, 1855, 2472..

91-gonal Numbers
1, 91, 270, 538, 895, 1323, 1876, 2500..

92-gonal Numbers
1, 92, 273, 544, 905, 1338, 1897, 2528..

93-gonal Numbers
1, 93, 276, 550, 915, 1353, 1918, 2556..

94-gonal Numbers
1, 94, 279, 556, 925, 1368, 1939, 2584..

95-gonal Numbers
1, 95, 282, 562, 935, 1383, 1960, 2612..

96-gonal Numbers
1, 96, 285, 568, 945, 1398, 1981, 2640..

97-gonal Numbers
1, 97, 288, 574, 955, 1413, 2002, 2668..

98-gonal Numbers
1, 98, 291, 580, 965, 1428, 2023..

99-gonal Numbers
1, 99, 294, 586, 975, 1443, 2044..

100-gonal Numbers
1, 100, 297, 592, 985, 1458, 2065..

101-gonal Numbers
1, 101, 300, 598, 995, 1473, 2086..

102-gonal Numbers
1, 102, 303, 604, 1005, 1488, 2107..

103-gonal Numbers
1, 103, 306, 610, 1015, 1503, 2128..

104-gonal Numbers
1, 104, 309, 616, 1025, 1518, 2149..

105-gonal Numbers
1, 105, 312, 622, 1035, 1533, 2170..

106-gonal Numbers
1, 106, 315, 628, 1045, 1548, 2191..

107-gonal Numbers
1, 107, 318, 634, 1055, 1563, 2212..

108-gonal Numbers
1, 108, 321, 640, 1065, 1578, 2233..

109-gonal Numbers
1, 109, 324, 646, 1075, 1593, 2254..

110-gonal Numbers
1, 110, 327, 652, 1085, 1608, 2275..

111-gonal Numbers
1, 111, 330, 658, 1095, 1623, 2296..

112-gonal Numbers
1, 112, 333, 664, 1105, 1638, 2317..

113-gonal Numbers
1, 113, 336, 670, 1115, 1653, 2338..

114-gonal Numbers
1, 114, 339, 676, 1125, 1668, 2359..

115-gonal Numbers
1, 115, 342, 682, 1135, 1683, 2380..

116-gonal Numbers
1, 116, 345, 688, 1145, 1698, 2401..

117-gonal Numbers
1, 117, 348, 694, 1155, 1713, 2422..

118-gonal Numbers
1, 118, 351, 700, 1165, 1728, 2443..

119-gonal Numbers
1, 119, 354, 706, 1175, 1743, 2464..

120-gonal Numbers
1, 120, 357, 712, 1185, 1758, 2485..

121-gonal Numbers
1, 121, 360, 718, 1195, 1773, 2506..

122-gonal Numbers
1, 122, 363, 724, 1205, 1788, 2527..

123-gonal Numbers
1, 123, 366, 730, 1215, 1803, 2548..

124-gonal Numbers
1, 124, 369, 736, 1225, 1818, 2569..

125-gonal Numbers
1, 125, 372, 742, 1235, 1833, 2590..

126-gonal Numbers
1, 126, 375, 748, 1245, 1848, 2611..

127-gonal Numbers
1, 127, 378, 754, 1255, 1865, 2632..

128-gonal Numbers
1, 128, 381, 760, 1265, 1878, 2653..

129-gonal Numbers
1, 129, 384, 766, 1275, 1893, 2674..

130-gonal Numbers
1, 130, 387, 772, 1285, 1908, 2695..

131-gonal Numbers
1, 131, 390, 778, 1295, 1923, 2716..

132-gonal Numbers
1, 132, 393, 784, 1305, 1938, 2737..

133-gonal Numbers
1, 133, 396, 790, 1315, 1953, 2758..

134-gonal Numbers
1, 134, 399, 796, 1325, 1968, 2779..

135-gonal Numbers
1, 135, 402, 802, 1335, 1983, 2800..

136-gonal Numbers
1, 136, 405, 808, 1345, 1998, 2821..

137-gonal Numbers
1, 137, 408, 814, 1355, 2013..

138-gonal Numbers
1, 138, 411, 820, 1365, 2028..

139-gonal Numbers
1, 139, 414, 826, 1375, 2043..

140-gonal Numbers
1, 140, 417, 832, 1385, 2058..

141-gonal Numbers
1, 141, 420, 838, 1395, 2073..

142-gonal Numbers
1, 142, 423, 844, 1405, 2088..

143-gonal Numbers
1, 143, 426, 850, 1415, 2103..

144-gonal Numbers
1, 144, 429, 856, 1425, 2118..

145-gonal Numbers
1, 145, 432, 862, 1435, 2133..

146-gonal Numbers
1, 146, 435, 868, 1445, 2148..

147-gonal Numbers
1, 147, 438, 874, 1455, 2163..

148-gonal Numbers
1, 148, 441, 880, 1465, 2178..

149-gonal Numbers
1, 149, 444, 886, 1475, 2193..

150-gonal Numbers
1, 150, 447, 892, 1485, 2208..

151-gonal Numbers
1, 151, 450, 898, 1495, 2223..

152-gonal Numbers
1, 152, 453, 904, 1505, 2238..

153-gonal Numbers
1, 153, 456, 910, 1515, 2253..

154-gonal Numbers
1, 154, 459, 916, 1525, 2268..

155-gonal Numbers
1, 155, 462, 922, 1535, 2283..

156-gonal Numbers
1, 156, 465, 928, 1545, 2298..

157-gonal Numbers
1, 157, 468, 934, 1555, 2313..

158-gonal Numbers
1, 158, 471, 940, 1565, 2328..

159-gonal Numbers
1, 159, 474, 946, 1575, 2343..

160-gonal Numbers
1, 160, 477, 952, 1585, 2358..

161-gonal Numbers
1, 161, 480, 958, 1595, 2373..

162-gonal Numbers
1, 162, 483, 964, 1605, 2388..

163-gonal Numbers
1, 163, 486, 970, 1615, 2403..

164-gonal Numbers
1, 164, 489, 976, 1625, 2418..

165-gonal Numbers
1, 165, 492, 982, 1635, 2433..

166-gonal Numbers
1, 166, 495, 988, 1645, 2448..

167-gonal Numbers
1, 167, 498, 994, 1655, 2463..

168-gonal Numbers
1, 168, 501, 1000, 1665, 2478..

169-gonal Numbers
1, 169, 504, 1006, 1675, 2493..

170-gonal Numbers
1, 170, 507, 1012, 1685, 2508..

171-gonal Numbers
1, 171, 510, 1018, 1695, 2523..

172-gonal Numbers
1, 172, 513, 1024, 1705, 2538..

173-gonal Numbers
1, 173, 516, 1030, 1715, 2553..

174-gonal Numbers
1, 174, 519, 1036, 1725, 2568..

175-gonal Numbers
1, 175, 522, 1042, 1735, 2583..

176-gonal Numbers
1, 176, 525, 1048. 1745, 2598..

177-gonal Numbers
1, 177, 528, 1054, 1755, 2613..

178-gonal Numbers
1, 178, 531, 1060, 1765, 2628..

179-gonal Numbers
1, 179, 534, 1066, 1775, 2643..

180-gonal Numbers
1, 180, 537, 1072, 1785, 2658..

181-gonal Numbers
1, 181, 540, 1078, 1795, 2673..

182-gonal Numbers
1, 182, 543, 1084, 1805, 2688..

183-gonal Numbers
1, 183, 546, 1090, 1815, 2703..

184-gonal Numbers
1, 184, 549, 1096, 1825, 2718..

185-gonal Numbers
1, 185, 552, 1102, 1835, 2733..

186-gonal Numbers
1, 186, 555, 1108, 1845, 2748..

187-gonal Numbers
1, 187, 558, 1114, 1855, 2763..

188-gonal Numbers
1, 188, 561, 1120, 1865, 2778..

189-gonal Numbers
1, 189, 564, 1126, 1875, 2793..

190-gonal Numbers
1, 190, 567, 1132, 1885, 2808..

191-gonal Numbers
1, 191, 570, 1138, 1895, 2823..

192-gonal Numbers
1, 192, 573, 1144, 1905, 2838..

193-gonal Numbers
1, 193, 576, 1150, 1915, 2853..

194-gonal Numbers
1, 194, 579, 1156, 1925, 2868..

195-gonal Numbers
1, 195, 582, 1162, 1935, 2883..

196-gonal Numbers
1, 196, 585, 1168, 1945, 2898..

197-gonal Numbers
1, 197, 588,1174, 1955, 2913..

198-gonal Numbers
1, 198, 591, 1180, 1965, 2928..

199-gonal Numbers
1, 199, 594, 1186, 1975, 2943..

200-gonal Numbers
1, 200, 597, 1192, 1985, 2958..

201-gonal Numbers
1, 201, 600, 1198, 1995, 2973..

202-gonal Numbers
1, 202, 603, 1204, 2005, 2988..

203-gonal Numbers
1, 203, 606, 1210, 2015..

204-gonal Numbers
1, 204, 609, 1216, 2025..

205-gonal Numbers
1, 205, 612, 1222, 2035..

206-gonal Numbers
1, 206, 615, 1228, 2045..

207-gonal Numbers
1, 207, 618, 1234, 2055..

208-gonal Numbers
1, 208, 621, 1240, 2065..

209-gonal Numbers
1, 209, 624, 1246, 2075..

210-gonal Numbers
1, 210, 627, 1252. 2085..

211-gonal Numbers
1, 211, 630, 1258. 2095..

212-gonal Numbers
1, 212, 633, 1264, 2105..

213-gonal Numbers
1, 213, 636, 1270, 2115..

214-gonal Numbers
1, 214, 639, 1276, 2125..

215-gonal Numbers
1, 215, 642, 1282, 2135..

216-gonal Numbers
1, 216, 645, 1288, 2145..

217-gonal Numbers
1, 217, 648, 1294, 2155..

218-gonal Numbers
1, 218, 651, 1300, 2165..

219-gonal Numbers
1, 219, 654, 1306, 2175..

220-gonal Numbers
1, 220, 657, 1312, 2185..

221-gonal Numbers
1, 221, 660, 1318, 2195..

222-gonal Numbers
1, 222, 663, 1324, 2205..

223-gonal Numbers
1, 223, 666, 1330, 2215..

224-gonal Numbers
1, 224, 669, 1336, 2225..

225-gonal Numbers
1, 225, 672, 1342, 2235..

226-gonal Numbers
1, 226, 675, 1348, 2245..

227-gonal Numbers
1, 227, 678, 1354, 2255..

228-gonal Numbers
1, 228, 681, 1360, 2565..

229-gonal Numbers
1, 229, 684, 1366, 2275..

230-gonal Numbers
1, 230, 687, 1372, 2285..

231-gonal Numbers
1, 231, 690, 1378, 2295..

232-gonal Numbers
1, 232, 693, 1384, 2305..

233-gonal Numbers
1, 233, 696, 1390, 2315..

234-gonal Numbers
1, 234, 699, 1396, 2325..

235-gonal Numbers
1, 235, 702, 1402, 2335..

236-gonal Numbers
1, 236, 705, 1408, 2345..

237-gonal Numbers
1, 237, 708, 1414, 2355..

238-gonal Numbers
1, 238, 711, 1420, 2365..

239-gonal Numbers
1, 239, 714, 1426, 2375..

240-gonal Numbers
1, 240, 717, 1432, 2385..

241-gonal Numbers
1, 241, 720, 1438, 2395..

242-gonal Numbers
1, 242, 723, 1444, 2405..

243-gonal Numbers
1, 243, 726, 1450, 2415..

244-gonal Numbers
1, 244, 729, 1456, 2425..

245-gonal Numbers
1, 245, 732, 1462, 2435..

246-gonal Numbers
1, 246, 735, 1468, 2445..

247-gonal Numbers
1, 247, 738, 1474, 2455..

248-gonal Numbers
1, 248, 741, 1480, 2465..

249-gonal Numbers
1, 249, 744, 1486, 2475..

250-gonal Numbers
1, 250, 747, 1492, 2485..

251-gonal Numbers
1, 251, 750, 1498, 2495..

252-gonal Numbers
1, 252, 753, 1504, 2505..

253-gonal Numbers
1, 253, 756, 1510, 2515..

254-gonal Numbers
1, 254, 759, 1516, 2525..

255-gonal Numbers
1, 255, 762, 1522, 2535..

256-gonal Numbers
1, 256, 765, 1528, 2545..

257-gonal Numbers
1, 257, 768, 1534, 2555..

258-gonal Numbers
1, 258, 771, 1540, 2565..

259-gonal Numbers
1, 259, 774, 1546, 2575..

260-gonal Numbers
1, 260, 777, 1552, 2585..

261-gonal Numbers
1, 261, 780, 1558, 2595..

262-gonal Numbers
1, 262, 783, 1564, 2605..

263-gonal Numbers
1, 263, 786, 1570, 2615..

264-gonal Numbers
1, 264, 789, 1576, 2625..

265-gonal Numbers
1, 265, 792, 1582, 2635..

266-gonal Numbers
1, 266, 795, 1588, 2645..

267-gonal Numbers
1, 267, 798, 1594, 2655..

268-gonal Numbers
1, 268, 801, 1600, 2665..

269-gonal Numbers
1, 269, 804, 1606, 2675..

270-gonal Numbers
1, 270, 807, 1612, 2685..

271-gonal Numbers
1, 271, 810, 1618, 2695..

272-gonal Numbers
1, 272, 813, 1624, 2705..

273-gonal Numbers
1, 273, 816, 1630, 2715..

274-gonal Numbers
1, 274, 819, 1636, 2725..

275-gonal Numbers
1, 275, 822, 1642, 2735..

276-gonal Numbers
1, 276, 825, 1648, 2745..

277-gonal Numbers
1, 277, 828, 1654, 2755..

278-gonal Numbers
1, 278, 831, 1660, 2765..

279-gonal Numbers
1, 279, 834, 1666, 2775..

280-gonal Numbers
1, 280, 837, 1672, 2785..

281-gonal Numbers
1, 281, 840, 1678, 2795..

282-gonal Numbers
1, 282, 843, 1684, 2805..

283-gonal Numbers
1, 283, 846, 1690, 2815..

284-gonal Numbers
1, 284, 849, 1696, 2825..

285-gonal Numbers
1, 285, 852, 1702, 2835..

286-gonal Numbers
1, 286, 855, 1708, 2845..

287-gonal Numbers
1, 287, 858, 1714, 2855..

288-gonal Numbers
1, 288, 861, 1720, 2865..

289-gonal Numbers
1, 289, 864, 1726, 2875..

290-gonal Numbers
1, 290, 867, 1732, 2885..

291-gonal Numbers
1, 291, 870, 1738, 2895..

292-gonal Numbers
1, 292, 873, 1744, 2905..

293-gonal Numbers
1, 293, 876, 1750, 2915..

294-gonal Numbers
1, 294, 879, 1756, 2925..

295-gonal Numbers
1, 295, 882, 1762, 2935..

296-gonal Numbers
1, 296, 885, 1768, 2945..

297-gonal Numbers
1, 297, 888, 1774, 2955..

298-gonal Numbers
1, 298, 891, 1780, 2965..

299-gonal Numbers
1, 299, 894, 1786, 2975..

300-gonal Numbers
1, 300, 897, 1792, 2985..

301-gonal Numbers
1, 301, 900, 1798, 2995..

302-gonal Numbers
1, 302, 903, 1804, 3005..

303-gonal Numbers
1, 303, 906, 1810, 3015..

304-gonal Numbers
1, 304, 909, 1816, 3025..

305-gonal Numbers
1, 305, 912, 1822, 3035..

306-gonal Numbers
1, 306, 915, 1828, 3045..

307-gonal Numbers
1, 307, 918, 1834, 3055..

308-gonal Numbers
1, 308, 921, 1840, 3065..

309-gonal Numbers
1, 309, 924, 1846, 3075..

310-gonal Numbers
1, 310, 927, 1852, 3085..

311-gonal Numbers
1, 311, 930, 1858, 3095..

312-gonal Numbers
1, 312, 933, 1864, 3105..

313-gonal Numbers
1, 313, 936, 1870, 3115..

314-gonal Numbers
1, 314, 939, 1876, 3125..

315-gonal Numbers
1, 315, 942, 1882, 3135..

316-gonal Numbers
1, 316, 945, 1888, 3145..

317-gonal Numbers
1, 317, 948, 1894, 3155..

318-gonal Numbers
1, 318, 951, 1900, 3165..

319-gonal Numbers
1, 319, 954, 1906, 3175..

320-gonal Numbers
1, 320, 957, 1912, 3185..

321-gonal Numbers
1, 321, 960, 1918, 3195..

322-gonal Numbers
1, 322, 963, 1924, 3205..

323-gonal Numbers
1, 323, 966, 1930, 3215..

324-gonal Numbers
1, 324, 969, 1936, 3225..

325-gonal Numbers
1, 325, 972, 1942, 3235..

326-gonal Numbers
1, 326, 975, 1948, 3245..

327-gonal Numbers
1, 327, 978, 1954, 3255..

328-gonal Numbers
1, 328, 981, 1960, 3265..

329-gonal Numbers
1, 329, 984, 1966, 3275..

330-gonal Numbers
1, 330, 987, 1972, 3285..

331-gonal Numbers
1, 331, 990, 1978, 3295..

332-gonal Numbers
1, 332, 993, 1984, 3305..

333-gonal Numbers
1, 333, 996, 1990, 3315..

334-gonal Numbers
1, 334, 999, 1996, 3325..

335-gonal Numbers
1, 335, 1002, 2002, 3335..

336-gonal Numbers
1, 336, 1005, 2008, 3345..

337-gonal Numbers
1, 337, 1008, 2014..

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Results for polygonal numbers

Number: The Language of Science
by Tobias Dantzig, Joseph Mazur
$18.00
$1.96 new/used

Number is an eloquent, accessible tour de force that reveals how the concept of number evolved from prehistoric times through the twentieth century. Tobias Dantzig shows that the development of math?from the invention of counting to the discovery of infinity?is a profoundly human story that progressed by ?trying and erring, by groping and stumbling.? He shows how commerce, war, and religion led to advances in math, and he recounts the stories of individuals whose breakthroughs expanded the concept of number and created the mathematics that we know today.
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The Book of Numbers
by John H. Conway, Richard Guy
$39.95
$21.96 new/used

Introduction to Analytic Number Theory (Undergraduate Texts in Mathematics)
by Tom M. ApostolSearch for Tom M. Apostol
$69.95
$42.99 new/used

"This book is the first volume of a two-volume textbook for undergraduates and is indeed the crystallization of a course offered by the author at the California Institute of Technology to undergraduates without any previous knowledge of number theory. For this reason, the book starts with the most elementary properties of the natural integers. Nevertheless, the text succeeds in presenting an enormous amount of material in little more than 300 pages."-?MATHEMATICAL REVIEWS


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Recreations in the Theory of Numbers (Dover Recreational Math)
by Albert H. BeilerSearch for Albert H. Beiler
$15.95
$0.99 new/used

Number theory, the Queen of Mathematics, is an almost purely theoretical science. Yet it can be the source of endlessly intriguing puzzle problems, as this remarkable book demonstrates. This is the first book to deal exclusively with the recreational aspects of the subject and it is certain to be a delightful surprise to all devotees of the mathematical puzzle, from the rawest beginner to the most practiced expert. Almost every aspect of the theory of numbers that could conceivably be of interest to the layman is dealt with, all from the recreational point of view. Readers will become acquainted with divisors, perfect numbers, the ingenious invention of congruences by Gauss, scales of notation, endless decimals, Pythagorean triangles (there is a list of the first 100 with consecutive legs; the 100th has a leg of 77 digits), oddities about squares, methods of factoring, mysteries of prime numbers, Gauss's Golden Theorem, polygonal and pyramidal numbers, the Pell Equation, the unsolved Last Theorem of Fermat, and many other aspects of number theory, simply by learning how to work with them in solving hundreds of mathematical puzzle problems. The text is extremely clear and easy to follow, and it bears convincing evidence of the author's deep sense of humor and his outstanding ability to lure the reader through even the most difficult trails by skillfully revealing their fascination. The problems distributed throughout the book are explained in the final chapter and there is also a supplementary chapter containing 100 problems and their solutions, many original. There are over 100 tables.
The appeal of these stimulating puzzles lies in their ready comprehensibility and the fact that only high school math is needed to master the fundamental theory presented by the author. This theory is itself interesting and of use to the more serious math student, but it may be omitted by lay readers without diminishing the book's challenge or detracting from the pleasure-giving nuggets it contains.


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Numbers and Functions: Steps into Analysis
by R. P. BurnSearch for R. P. Burn
$69.99
$45.82 new/used

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, of which most are supplied with brief answers, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition also includes extra questions on integration and an introduction to convergence. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.
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Numbers and Functions: Steps into Analysis
by R. P. BurnSearch for R. P. Burn
$74.99
$15.95 new/used

The transition from studying calculus in high school to studying mathematical analysis in college is notoriously difficult. In this new edition of Numbers and Functions, Dr. Burn invites the student to tackle each of the key concepts, progressing from experience through a structured sequence of several hundred problems to concepts, definitions and proofs of classical real analysis. The problems, with all solutions supplied, draw readers into constructing definitions and theorems. This novel approach to rigorous analysis will enable students to grow in confidence and skill and thus overcome traditional difficulties in learning this subject.
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Numbers Are Forever
by Liz StrachanSearch for Liz Strachan

$14.84 new/used

This book is only about numbers - that is, whole numbers and nothing but the whole numbers, which start from from 0, 1, 2, 3, 4...and go on forever. Here you can meet perfect numbers, happy numbers, lucky, untouchable, weird, narcissistic, evil and deficient numbers, not to mention nice Friedmans and multi-legged repunits, as well as primes and their cousins, the sexy primes. It is also full of fascinating facts and curios, prime number conjectures, the sieve of Eratosthenes, the Fibonacci series, and much more besides. This is an accessible, clearly explained approach which will appeal to recreational maths enthusiasts, puzzle solvers, and mathematicians of all ages.
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The Book of Numbers
by John H. Conway, Richard Guy
$39.95
$28.96 new/used

"...the great feature of the book is that anyone can read it without excessive head scratching...You'll find plenty here to keep you occupied, amused, and informed. Buy, dip in, wallow." -IAN STEWART, NEW SCIENTIST
"...a delightful look at numbers and their roles in everything from language to flowers to the imagination." -SCIENCE NEWS
"...a fun and fascinating tour of numerical topics and concepts. It will have readers contemplating ideas they might never have thought were understandable or even possible." -WISCONSIN BOOKWATCH
"This popularization of number theory looks like another classic." -LIBRARY JOURNAL
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The Mystery of Numbers: Revealed Through Their Digital Root (2nd Edition)
by Talal GhannamSearch for Talal Ghannam
$20.99
$13.19 new/used

What is it that brings all these different things together? The subatomic particles and the Vedic square. The hydrogen atom and the golden section. Fibonacci numbers, consciousness, and alchemy. Nikola Tesla, music, and the ether. Electromagnetism, gravity, and the fourth dimension. The procession of the equinox, the Mayan dooms day, the Hindu Brahma cycle, and Atlantis. It is Numbers, or more precisely; their Digital Root. In this book the author examines the amazing world of numbers, particularly those which have intrigued and fascinated ancient and modern mathematicians alike. However, he does it from a very novel point of view; by implementing the digital root operation, in which the individual digits of any of these numbers are summed up until a single digit is left over. The author will show that when applying this simple operation to magical numbers, and to many other groups of numbers, an amazing world of hidden interconnections; repetition cycles; numerical symmetries; and geometrical patterns emerge. Especially when the geometrical (the circle) and the numerical aspects of the digital root world are combined together. It is in this circular/numerical world where numbers, individually and collectively, exist in their most basic, yet perfect and symmetrical states, and where the basic nine numbers are differentiated into three groups of amazing properties, which will be shown to underlie the essence of the whole universe; from the atom and its forces to the solar system and its geometry. This book will take us on a numerical and spiritual journey: starting from prime and figurate numbers; to Fibonacci sequence and the golden section; to alchemy and the Mayan calendar; to the atoms and its forces, along with the ether and the fourth dimension. In addition, the author will show how these new revelations of the digital root world are corroborating the numerological and mystical qualities that have been attributed to numbers by philosophers and mystics throughout the ages. This book will paint a so holistic and meaningful image of the world that will forever change our perception, not only towards numbers, but towards the whole universe as well.
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