FANDOM


Primes: 2, 3, 5, 7, E, 11, 15, 17, 1E, 25, 27, 31, 35, 37, 3E, 45, 4E, 51, 57, 5E, 61, 67, 6E, 75, 81, 85, 87, 8E, 91, 95, X7, XE, E5, E7, 105, 107, 111, 117, 11E, 125, 12E, 131, 13E, 141, 145, 147, 157, 167, 16E, 171, 175, 17E, 181, 18E, 195, 19E, 1X5, 1X7, 1E1, 1E5, 1E7, 205, 217, 21E, 221, 225, 237, 241, 24E, 251, 255, 25E, 267, 271, 277, 27E, 285, 291, 295, 2X1, 2XE, 2E1, 2EE, 301, 307, 30E, 315, 321, 325, 327, 32E, 33E, 347, 34E, 357, 35E, 365, 375, 377, 391, 397, 3X5, 3XE, 3E5, 3E7, 401, 40E, 415, 41E, 421, 427, 431, 435, 437, 447, 455, 457, 45E, 465, 46E, 471, 481, 485, 48E, 497, 4X5, 4E1, 4EE, 507, 511, 517, 51E, 527, 531, 535, 541, 545, 557, 565, 575, 577, 585, 587, 58E, 591, 59E, 5E1, 5E5, 5E7, 5EE, 611, 615, 617, 61E, 637, 63E, 647, 655, 661, 665, 66E, 675, 687, 68E, 695, 69E, 6X7, 6E1, 701, 705, 70E, 711, 71E, 721, 727, 735, 737, 745, 747, 751, 767, 76E, 771, 775, 77E, 785, 791, 797, 7X1, 7EE, 801, 80E, 817, 825, 82E, 835, 841, 851, 855, 85E, 865, 867, 871, 881, 88E, 8X5, 8X7, 8XE, 8E5, 8E7, 901, 905, 907, 90E, 91E, 921, 927, 955, 95E, 965, 971, 987, 995, 9X7, 9XE, 9E1, 9E5, 9EE, X07, X0E, X11, X17, X27, X35, X37, X3E, X41, X45, X4E, X5E, X6E, X77, X87, X91, X95, X9E, XX7, XXE, XE7, XEE, E11, E15, E1E, E21, E25, E2E, E31, E37, E45, E61, E67, E6E, E71, E91, E95, E97, EX5, EE5, EE7, ... (except 2 and 3, all end with 1, 5, 7 or E (exactly 1 and the primes not divide 10))

Lucky numbers: 1, 3, 7, 9, 11, 13, 19, 21, 27, 29, 31, 37, 41, 43, 53, 57, 59, 61, 63, 67, 73, 79, 83, 89, 93, 97, X7, X9, E1, E3, E9, 107, 113, 117, 121, 123, 139, 141, 143, 149, 151, 157, 163, 167, 173, 177, 179, 181, 197, 199, 1X3, 1X9, 1E7, 1E9, 201, 209, 213, 217, 227, 229, 233, 237, 243, 251, 259, 261, 267, 281, 287, 289, 293, 2X1, 2X7, 2E1, 2E7, 2E9, 301, 317, 327, 337, 339, 343, 347, 349, 353, 367, 371, 373, 381, 387, 389, 391, 3X1, 3X7, 401, 403, 407, 413, 421, 431, 433, 437, 439, 447, 453, 457, 459, 463, 467, 481, 487, 491, 499, 4X3, 4E9, 503, 507, 509, 513, 517, 519, 521, 541, 549, 551, 557, 569, 571, 583, 587, 593, 5X1, 5E3, 603, 609, 617, 619, 627, 629, 633, 651, 653, 657, 659, 661, 679, 681, 693, 697, 699, 6X7, 6X9, 6E1, 701, 703, 711, 713, 719, 727, 729, 739, 741, 767, 771, 773, 779, 781, 783, 791, 797, 7E7, 803, 813, 823, 827, 831, 839, 841, 843, 849, 857, 867, 869, 879, 881, 883, 891, 893, 8X3, 8X9, 8E1, 8E7, 907, 911, 923, 929, 937, 951, 959, 961, 977, 979, 983, 989, 9X1, 9X3, 9E7, X01, X13, X17, X27, X29, X39, X43, X47, X49, X51, X53, X67, X79, X87, X89, XX3, XX7, XE3, XE7, E01, E03, E11, E13, E23, E47, E49, E51, E63, E67, E77, E91, E99, EX1, EX7, EE7, ... (all end with 1, 3, 7 or 9)

Squares: 0, 1, 4, 9, 14, 21, 30, 41, 54, 69, 84, X1, 100, 121, 144, 169, 194, 201, 230, 261, 294, 309, 344, 381, 400, ... (all end with squares (0, 1, 4, 9))

Cubes: 0, 1, 8, 23, 54, X5, 160, 247, 368, 509, 6E4, 92E, 1000, 1331, 1708, 1E53, 2454, 2X15, 3460, 3E77, 4768, 5439, 61E4, 705E, 8000, ... (can end with any digits except 2, 6, X)

Powers of 2: 1, 2, 4, 8, 14, 28, 54, X8, 194, 368, 714, 1228, 2454, 48X8, 9594, 16E68, 31E14, 63X28, 107854, 2134X8, 426994, 851768, 14X3314, 2986628, 5751054, ... (the first number with leading digit 9 is 2^12 = 9594, and the first number with leading digit E is 2^21 = E2X20X8, besides, final digits of these numbers are 1, 2, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, ..., the period is 2 for numbers >= 2^2 (=4))

Powers of 3: 1, 3, 9, 23, 69, 183, 509, 1323, 3969, E483, 2X209, 86623, 217669, 64X783, 1727E09, 497E923, 124EE369, 372E9X83, X98E5809, 2852X5023, 813873069, 203E199183, 60E9553509, 162E443X323, 468X10E6969, ... (the first number with leading digit X is 3^16 = X98E5809, and the first number with leading digit 7 is 3^25 = 784503X627783, besides, final digits of these numbers are 1, 3, 9, 3, 9, 3, 9, 3, 9, 3, 9, 3, ..., the period is 2 for numbers >= 3^1 (=3))

Powers of 4: 1, 4, 14, 54, 194, 714, 2454, 9594, 31E14, 107854, 426994, 14X3314, 5751054, 1X584194, 75X94714, 25E716454, 9EX461594, 33E5605E14, 1139X01E854, 4533407X994, 159114277314, 5E0454X65054, 1E81597618194, 7X85E26068714, 2769E8X022X454, ...

Powers of 5: 1, 5, 21, X5, 441, 1985, 9061, 39265, 16X081, 7X2345, 332E4X1, 14429025, 69919101, 2X0989505, 122407E121, 5XE83375X5, 256X5461541, 103X42X67285, 517392490161, 218069EE90765, X842X1EX93181, 4559229E5X3845, 1X349E2195365X1, 935017X8E258525, 3X51083588046201, ...

Powers of 6: 1, 6, 30, 160, 900, 4600, 23000, 116000, 690000, 3460000, 18300000, X1600000, 509000000, 2646000000, 13230000000, 77160000000, 396900000000, 1X94600000000, E483000000000, 58416000000000, 2X2090000000000, 1510460000000000, 8662300000000000, 43311600000000000, 217669000000000000, ...

Powers of 7: 1, 7, 41, 247, 1481, 9887, 58101, 338707, 1E20141, 11620947, 7X725581, 472252387, 2823504201, 1693EE25207, XE53E650241, 6481388E1447, 3888921259681, 22111428546X87, 13277956E180301, 8X6566305E81907, 5219297935990341, 30304776504831E47, 191928548E289X1781, 104046E1926718XE587, 7242806045X20248401, ...

Powers of 8: 1, 8, 54, 368, 2454, 16E68, 107854, 851768, 5751054, 38E48368, 25E716454, 17E8902E68, 1139X01E854, 8X668139768, 5E0454X65054, 3E42E73034368, 2769E8X022X454, 190679X815XXE68, 120452714EE33854, 942E588E3E625768, 629E799E678179054, 41X792678515120368, 29312185174E4942454, 1X20951750E372296E68, 12946350E476495X47854, ...

Powers of 9: 1, 9, 69, 509, 3969, 2X209, 217669, 1727E09, 124EE369, X98E5809, 813873069, 60E9553509, 468X10E6969, 350769881209, 269581360X669, 1E1130E767XE09, 1539E3887EE2369, 10EX55965EE48809, 98XX141X5E666069, 73817014X57XX6509, 559123107X2E1X9969, 4139X8395X824514209, 30EX502X150193X01669, 238X992170913EX611E09, 189813X72369EEXX6X5369, ...

Powers of X: 1, X, 84, 6E4, 5954, 49X54, 402854, 3423054, 295X6454, 23XX93854, 1E30E91054, 1746996X454, 141981E87854, 1156097925054, E270805802454, 941X684881E854, 795696EE2979054, 65X77E9E44056454, 54XX47X3574473854, 46107X66X817X11054, 390X66958X9464XX454, 3168957X94E994107854, 27373X86EX1X194X65054, 221012E19X5655X0942454, 198X1053628746X4795E854, ...

Powers of E: 1, E, X1, 92E, 8581, 7924E, 715261, 663936E, 5E956341, 55980908E, 503X483821, 473663745XE, 4282E9391501, 3X5689654370E, 3671208XXE35X1, 33060X82004242E, 2E956995X03X1X81, 289812E842363894E, 260X51887X12950761, 2369686EE2316776X6E, 213291X4E30X50EE3841, 1E1E6486639967XE4478E, 19296X39E95E9130503121, 1756935619859419472X0XE, 15X1262077X9369772772X01, ...

Powers of 10: 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 1000000000000000000, 10000000000000000000, 100000000000000000000, 1000000000000000000000, 10000000000000000000000, 100000000000000000000000, 1000000000000000000000000, ...

Powers of 11: 1, 11, 121, 1331, 14641, 15XX51, 1749361, 19020971, 1X922X481, 207E513091, 228746439X1, 24E3EXX817E1, 27433X9699701, 29E77284474711, 309729E08EEE821, 33X4X08E98EE7X31, 37232X98968E76141, 3X9561866438717551, 4282E7X30X803890X61, 46XE27613E684059E471, 4E5X1X175363046393E81, 5453EEE9089934XX113791, 59993EE899670838E24E4X1, 637713E867417900817442E1, 69E2853831E59490898E87201, ...

Powers of 12: 1, 12, 144, 1708, 1X294, 21E2X8, 2631454, 2E377228, 3522X4714, 4007414368, 48086970194, 5549EE2220X8, 64377E0665054, 7502E2X775X628, 87X35144X8X3314, X11EEE71863E9768, E943EE63EE4792994, 118E07E547E350934X8, 1404X9343531EXX9E854, 1685869E00183X8777X28, 199X7EE6X01E8660XE1E14, 215653E5E8237E710902E68, 25856274E76833632X635594, 2X7X530796997X139434048X8, 3452216911E531964XEX856454, ...

Powers of 13: 1, 13, 169, 1E53, 25369, 307553, 3993969, 49278E53, 5E6382369, 754X72X553, 93913070969, E7846989EE53, 1267586205E369, 162341786751553, 1X8X220783349969, 24508869741302E53, 2E63XX860216938369, 384XX747627E5774553, 47617329493E40626969, 594801058E7E207925E53, 728X0137226XE698615369, 90506175E92785617797553, E3637804586376X806903969, 1214X6705717X6574085348E53, 157912296EE0X21020X672E2369, ...

Powers of 14: 1, 14, 194, 2454, 31E14, 426994, 5751054, 75X94714, 9EX461594, 1139X01E854, 159114277314, 1E81597618194, 2769E8X022X454, 361137942E99E14, 48158X457E912994, 629E799E678179054, 839365134X2X240714, E104869865797149594, 12946350E476495X47854, 1786046932206479X23314, 2234061042X886251704194, 2E05481457X37432X1456454, 3X872299E6589983959E45E14, 52356E91347790E107931EX994, 6E075381862241294X4427X5054, ...

Powers of 15: 1, 15, 201, 2X15, 40401, 585815, 8100601, E5508615, 1428200801, 1XE96X0E415, 286868340X01, 3X16158892215, 55418114501001, 786X456E3115015, XE1883X9E4701201, 135953964115E17X15, 19E24645E9714941401, 270X45045870E929X815, 380283164120481001601, 52439851E97X6755021615, 744148E39881E4681301801, X519E8804936915559324415, 12937173469206E08921641X01, 18E21133956EX99805001EX7215, 2579E69844XXX3X8471029X02001, ...

Powers of 16: 1, 16, 230, 3460, 50900, 771600, E483000, 151046000, 2176690000, 3253X160000, 497E92300000, 725E794600000, X98E5809000000, 1427526116000000, 203E1991830000000, 305X88786460000000, 468X10E696900000000, 6X131754241600000000, X31X85203623000000000, 1348X079053346000000000, 1E1130E767XE090000000000, 2X77X7553EX47160000000000, 43E59E21EE96X8300000000000, 65E28X92EE84404600000000000, 98XX141X5E666069000000000000, ...

Powers of 17: 1, 17, 261, 3E77, 63501, 9E4E17, 13909761, 20E432X77, 335E916X01, 52657559X17, 8302X9827061, 11094714011977, 1882X331419X301, 2890631E16X72917, 43X39E0075X954561, 6X140850EX40E60877, XX01514069456271801, 151X23114X8X08X137817, 231E16X928EEE200091X61, 370075E0742EX820125E777, 5810EX45E7889XE21XE55101, 8E9869515529E838504170717, 1228468E13735961X3E6661E361, 1X63328170866208E4334390X677, 2E7E212X621639321E9239E448601, ...

Powers of 18: 1, 18, 294, 4768, 78714, 10X3X28, 19525054, 2E88048X8, 4E6547X994, 8328E920368, 11946E7345E14, 1XE7774175X628, 3234882X8596454, 5397X589X17X74X8, 8X4115684X9184194, 12929X53201E29XXE68, 20748549343288623314, 3503X0EE5714662395228, 5846497E13X36X3X387854, 95E680126251E525224X0X8, 139E314202407308078009594, 2246922E43X901115094139768, 37E7338XE25E019X4536X240714, 6134162X281X4305349E4EX8EX28, X216X649057131089807039XE9054, ...

Powers of 19: 1, 19, 309, 5439, 94669, 144E599, 24881209, 423220739, 73E6970969, 109E2X944899, 1X5480X483509, 3335216225EX39, 58900879X459069, X039131831X09E99, 15666E25E562755809, 26856174507X706E139, 4589789X8X1964015369, 7X04X6539591810263299, 118686533770EE1944E7E09, 1EEE8E3294348X614884X439, 35EE6787X45E3648532861669, 615E276191X492229278X88599, X87477191032409XX176692X209, 1690E1360X9571153E8X25X1E9739, 289X753176X694E63E65X429579969, ...

Powers of 1X: 1, 1X, 344, 61E4, E3694, 1886514, 31E79454, 597432194, X77599E314, 175E88027854, 2E8E5X84X1594, 55650974X68714, X0193576E439054, 16433043X89XX6994, 2979E67E1821E45E14, 5184322650EE6X2X454, 95139X07939E26930194, 1534500523102684E63314, 27821209617X4835115E854, 4X0EX19553050723408E5594, 8X598733E7693122154500714, 14327994133X4E81EX7X1211054, 259XX3E16411114E7964619EX994, 4681XE24976000714358334399E14, 842E6064979001105X45201E002454, ...

Powers of 1E: 1, 1E, 381, 705E, 115E41, 21X489E, 416E0E01, 7E032911E, 13216235281, 2510XX47015E, 479089X952X41, 8XX44XE810599E, 1509X55045EE1X01, 2886E047875X4621E, 5285318X9642X7X181, X02210408321650525E, 17241EE793X10E379E941, 3095E9E3XX440980016X9E, 5X62580859X396640302901, E31X8X5431X933618595331E, 19707700320779389331113081, 3546265060E27XX1992E114X35E, 6737XX37E7961195588731838841, 10800199033E282515E85E02E17E9E, 20340358364661879X5534157423801, ...

Powers of 20: 1, 20, 400, 8000, 140000, 2800000, 54000000, X80000000, 19400000000, 368000000000, 7140000000000, 122800000000000, 2454000000000000, 48X80000000000000, 959400000000000000, 16E68000000000000000, 31E140000000000000000, 63X2800000000000000000, 107854000000000000000000, 2134X80000000000000000000, 42699400000000000000000000, 851768000000000000000000000, 14X33140000000000000000000000, 298662800000000000000000000000, 5751054000000000000000000000000, ...

Factorials: 1, 1, 2, 6, 20, X0, 500, 2E00, 1E400, 156000, 1270000, 11450000, 114500000, 1259500000, 14X8EX00000, 191529600000, 241XE88000000, 33X86734000000, 4EX09XE00000000, 7X8E383500000000, 111XXX198400000000, 1E040E91E7000000000, 3627596972X000000000, 68E041404X52000000000, 115X0828098X40000000000, ...

Triangular (3-gonal) numbers: 0, 1, 3, 6, X, 13, 19, 24, 30, 39, 47, 56, 66, 77, 89, X0, E4, 109, 123, 13X, 156, 173, 191, 1E0, 210, 231, 253, 276, 29X, 303, 329, 354, 380, 3X9, 417, 446, 476, 4X7, 519, 550, 584, 5E9, 633, 66X, 6X6, 723, 761, 7X0, 820, ... (all end with 0, 1, 3, 4, 6, 7, 9, X, since triangular numbers cannot = 2 mod 3) (the period of the final digit is 20, the final digits are 0, 1, 3, 6, X, 3, 9, 4, 0, 9, 7, 6, 6, 7, 9, 0, 4, 9, 3, X, 6, 3, 1, 0, 0, 1, 3, 6, X, 3, 9, 4, 0, 9, 7, 6, 6, 7, 9, 0, 4, 9, 3, X, 6, 3, 1, 0, ...)

Pentagonal (5-gonal) numbers: 0, 1, 5, 10, 1X, 2E, 43, 5X, 78, 99, 101, 128, 156, 187, 1EE, 236, 274, 2E5, 339, 384, 412, 463, 4E7, 552, 5E0, 651, 6E5, 760, 80X, 87E, 933, 9XX, X68, E29, EE1, 1078, 1146, 1217, 12XE, 1386, 1464, 1545, 1629, 1714, 1802, 18E3, 19X7, 1XX2, 1EX0, ... (can end with any digit) (the period of the final digit is 20, the final digits are 0, 1, 5, 0, X, E, 3, X, 8, 9, 1, 8, 6, 7, E, 6, 4, 5, 9, 4, 2, 3, 7, 2, 0, 1, 5, 0, X, E, 3, X, 8, 9, 1, 8, 6, 7, E, 6, 4, 5, 9, 4, 2, 3, 7, 2, ...)

Hexagonal (6-gonal) numbers: 0, 1, 6, 13, 24, 39, 56, 77, X0, 109, 13X, 173, 1E0, 231, 276, 303, 354, 3X9, 446, 4X7, 550, 5E9, 66X, 723, 7X0, 861, 926, 9E3, X84, E59, 1036, 1117, 1200, 12X9, 139X, 1493, 1590, 1691, 1796, 18X3, 19E4, 1E09, 2026, 2147, 2270, 2399, 250X, 2643, 2780, ... (all end with 0, 1, 3, 4, 6, 7, 9, X, since hexagonal numbers are also triangular numbers) (the period of the final digit is 10, the final digits are 0, 1, 6, 3, 4, 9, 6, 7, 0, 9, X, 3, 0, 1, 6, 3, 4, 9, 6, 7, 0, 9, X, 3, ...)

Heptagonal (7-gonal) numbers: 0, 1, 7, 16, 2X, 47, 69, 94, 104, 139, 177, 1EX, 246, 297, 331, 390, 434, 4X1, 553, 60X, 68X, 753, 821, 8E4, 990, ...

Octagonal (8-gonal) numbers: 0, 1, 8, 19, 34, 55, 80, E1, 128, 169, 1E4, 245, 2X0, 341, 3X8, 459, 514, 595, 660, 731, 808, 8X9, 994, X85, E80, ...

Nonagonal (Enneagonal) (9-gonal) numbers: 0, 1, 9, 20, 3X, 63, 93, 10X, 150, 199, 231, 290, 336, 3X7, 463, 526, 5E4, 689, 769, 854, 946, X43, E47, 1056, 1170, ...

Dekragoal (X-gonal) numbers: 0, 1, X, 23, 44, 71, X6, 127, 174, 209, 26X, 317, 390, 451, 51X, 5E3, 694, 781, 876, 977, X84, E99, 10EX, 1227, 1360, ...

Elpagonal (E-gonal) numbers: 0, 1, E, 26, 4X, 7E, E9, 144, 198, 239, 2X7, 362, 426, 4E7, 595, 680, 774, 875, 983, X9X, 1002, 1133, 1271, 13E8, 1550, ...

Dozagonal (10-gonal) numbers: 0, 1, 10, 29, 54, 89, 110, 161, 200, 269, 324, 3X9, 480, 561, 650, 749, 854, 969, X90, 1001, 1140, 1289, 1424, 1589, 1740, ...

11-gonal (Hendozagonal) numbers: 0, 1, 11, 30, 5X, 97, 123, 17X, 224, 299, 361, 434, 516, 607, 707, 816, 934, X61, E99, 1124, 127X, 1423, 1597, 175X, 1930, ...

12-gonal (Dodozagonal) numbers: 0, 1, 12, 33, 64, X5, 136, 197, 248, 309, 39X, 47E, 570, 671, 782, 8X3, X14, E55, 10X6, 1247, 13E8, 1579, 174X, 192E, 1E20, ...

13-gonal (Tridozagonal) numbers: 0, 1, 13, 36, 6X, E3, 149, 1E4, 270, 339, 417, 506, 606, 717, 839, 970, XE4, 1049, 11E3, 136X, 1536, 1713, 1901, 1E00, 2110, ...

14-gonal (Tetradozagonal) numbers: 0, 1, 14, 39, 74, 101, 160, 211, 294, 369, 454, 551, 660, 781, 8E4, X39, E94, 1141, 1300, 1491, 1674, 1869, 1X74, 2091, 2300, ...

15-gonal (Pentadozagonal) numbers: 0, 1, 15, 40, 7X, 10E, 173, 22X, 2E8, 399, 491, 598, 6E6, 827, 96E, E06, 1074, 1235, 1409, 15E4, 17E2, 1X03, 2027, 2262, 24E0, ...

16-gonal (Hexadozagonal) numbers: 0, 1, 16, 43, 84, 119, 186, 247, 320, 409, 50X, 623, 750, 891, X26, E93, 1154, 1329, 1516, 1717, 1930, 1E59, 219X, 2433, 26X0, ...

17-gonal (Heptadozagonal) numbers: 0, 1, 17, 46, 8X, 127, 199, 264, 344, 439, 547, 66X, 7X6, 937, XX1, 1060, 1234, 1421, 1623, 183X, 1X6X, 20E3, 2351, 2604, 2890, ...

18-gonal (Octadozagonal) numbers: 0, 1, 18, 49, 94, 135, 1E0, 281, 368, 469, 584, 6E5, 840, 9X1, E58, 1129, 1314, 1515, 1730, 1961, 1EX8, 2249, 2504, 2795, 2X80, ...

19-gonal (Enneadozagonal) numbers: 0, 1, 19, 50, 9X, 143, 203, 29X, 390, 499, 601, 740, 896, X47, 1013, 11E6, 13E4, 1609, 1839, 1X84, 2126, 23X3, 2677, 2966, 3070, ...

1X-gonal (Dekradozagonal) numbers: 0, 1, 1X, 53, X4, 151, 216, 2E7, 3E4, 509, 63X, 787, 930, XE1, 108X, 1283, 1494, 1701, 1946, 1EX7, 2264, 2539, 282X, 2E37, 3260, ...

1E-gonal (Elpadozagonal) numbers: 0, 1, 1E, 56, XX, 15E, 229, 314, 418, 539, 677, 812, 986, E57, 1145, 1350, 1574, 17E5, 1X53, 210X, 23X2, 2693, 29X1, 3108, 3450, ...

20-gonal (Icosagonal) numbers: 0, 1, 20, 59, E4, 169, 240, 331, 440, 569, 6E4, 859, X20, 1001, 1200, 1419, 1654, 18X9, 1E60, 2231, 2520, 2829, 2E54, 3299, 3640, ...

Centered 3-gonal (Centered triangular) numbers: 1, 4, X, 17, 27, 3X, 54, 71, 91, E4, 11X, 147, 177, 1XX, 224, 261, 2X1, 324, 36X, 3E7, 447, 49X, 534, 591, 631, ...

Centered 4-gonal (Centered square) numbers: 1, 5, 11, 21, 35, 51, 71, 95, 101, 131, 165, 1X1, 221, 265, 2E1, 341, 395, 431, 491, 535, 5X1, 651, 705, 781, 841, ...

Centered 5-gonal (Centered pentagonal) numbers: 1, 6, 14, 27, 43, 64, 8X, E9, 131, 16X, 1E0, 237, 287, 320, 37X, 421, 489, 53X, 5E4, 673, 737, 804, 896, 971, X51, ...

Centered 6-gonal (Centered hexagonal) numbers: 1, 7, 17, 31, 51, 77, X7, 121, 161, 1X7, 237, 291, 331, 397, 447, 501, 581, 647, 717, 7E1, 891, 977, X67, E61, 1061, ...

Centered 7-gonal (Centered heptagonal) numbers: 1, 8, 1X, 37, 5E, 8X, 104, 145, 191, 224, 282, 327, 397, 452, 514, 5X1, 675, 754, 83X, 92E, X27, E2X, 1038, 1151, 1271, ...

Centered 8-gonal (Centered octagonal) numbers: 1, 9, 21, 41, 69, X1, 121, 169, 201, 261, 309, 381, 441, 509, 5X1, 681, 769, 861, 961, X69, E81, 10X1, 1209, 1341, 1481, ...

Centered 9-gonal (Centered nonagonal) numbers: 1, X, 24, 47, 77, E4, 13X, 191, 231, 29X, 354, 417, 4X7, 584, 66X, 761, 861, 96X, X84, EX7, 1117, 1254, 139X, 1531, 1691, ...

Centered X-gonal (Centered dekragonal) numbers: 1, E, 27, 51, 85, 107, 157, 1E5, 261, 317, 39E, 471, 551, 63E, 737, 841, 955, X77, EX7, 1125, 1271, 1407, 156E, 1721, 18X1, ...

Centered E-gonal (Centered elpagonal) numbers: 1, 10, 2X, 57, 93, 11X, 174, 219, 291, 354, 426, 507, 5E7, 6E6, 804, 921, X49, E84, 110X, 1263, 1407, 157X, 1740, 1911, 1XE1, ...

Centered 10-gonal (Centered dozagonal) numbers (also star numbers): 1, 11, 31, 61, X1, 131, 191, 241, 301, 391, 471, 561, 661, 771, 891, X01, E41, 1091, 1231, 13X1, 1561, 1731, 1911, 1E01, 2101, ... (star numbers are exactly the numbers obtained as the concatenation of a triangular number followed by a 1, such primes (called star primes or centered dozagonal primes) are 11, 31, 61, 131, 241, 301, 391, 471, 661, 771, 1231, 13X1, 1561, 1911, 1E01, 3291, 3541, 3801, 3X91, 4461, 4761, 5191, 5E91, 6331, 66X1, 7231, 7611, 7X01, ...)

Centered 11-gonal numbers: 1, 12, 34, 67, XE, 144, 1XX, 265, 331, 40X, 4E8, 5E7, 707, 828, 95X, XX1, 1035, 119X, 1354, 151E, 16E7, 18X4, 1XX2, 20E1, 2311, ...

Centered 12-gonal numbers: 1, 13, 37, 71, E9, 157, 207, 289, 361, 447, 543, 651, 771, 8X3, X27, E81, 1129, 12X7, 1477, 1659, 1851, 1X57, 2073, 22X1, 2521, ...

Centered 13-gonal numbers: 1, 14, 3X, 77, 107, 16X, 224, 2E1, 391, 484, 58X, 6X7, 817, 95X, XE4, 1061, 1221, 13E4, 159X, 1797, 19X7, 200X, 2244, 2491, 2731, ...

Centered 14-gonal numbers: 1, 15, 41, 81, 115, 181, 241, 315, 401, 501, 615, 741, 881, X15, E81, 1141, 1315, 1501, 1701, 1915, 1E41, 2181, 2415, 2681, 2941, ...

Centered 15-gonal numbers: 1, 16, 44, 87, 123, 194, 25X, 339, 431, 53X, 660, 797, 927, X90, 104X, 1221, 1409, 160X, 1824, 1X53, 2097, 2334, 25X6, 2871, 2E51, ...

Centered 16-gonal numbers: 1, 17, 47, 91, 131, 1X7, 277, 361, 461, 577, 6X7, 831, 991, E47, 1117, 1301, 1501, 1717, 1947, 1E91, 2231, 24X7, 2777, 2X61, 3161, ...

Centered 17-gonal numbers: 1, 18, 4X, 97, 13E, 1EX, 294, 385, 491, 5E4, 732, 887, X37, 1002, 11X4, 13X1, 15E5, 1824, 1X6X, 210E, 2387, 265X, 2948, 3051, 3371, ...

Centered 18-gonal numbers: 1, 19, 51, X1, 149, 211, 2E1, 3X9, 501, 631, 779, 921, XX1, 1079, 1271, 1481, 16X9, 1931, 1E91, 2249, 2521, 2811, 2E19, 3241, 3581, ...

Centered 19-gonal numbers: 1, 1X, 54, X7, 157, 224, 30X, 411, 531, 66X, 804, 977, E47, 1134, 133X, 1561, 17X1, 1X3X, 20E4, 2387, 2677, 2984, 30XX, 3431, 3791, ...

Centered 1X-gonal numbers: 1, 1E, 57, E1, 165, 237, 327, 435, 561, 6X7, 84E, X11, EE1, 11XE, 1407, 1641, 1895, 1E47, 2217, 2505, 2811, 2E37, 327E, 3621, 39X1, ...

Centered 1E-gonal numbers: 1, 20, 5X, E7, 173, 24X, 344, 459, 591, 724, 896, X67, 1057, 1266, 1494, 1721, 1989, 2054, 233X, 2643, 2967, 30XX, 3450, 3811, 3EE1, ...

Centered 20-gonal numbers: 1, 21, 61, 101, 181, 261, 361, 481, 601, 761, 921, E01, 1101, 1321, 1561, 1801, 1X81, 2161, 2461, 2781, 2E01, 3261, 3621, 3X01, 4201, ...

Tetrahedral numbers: 0, 1, 4, X, 18, 2E, 48, 70, X0, 119, 164, 1EX, 264, 31E, 3X8, 488, 580, 689, 7E0, 92X, X84, 1037, 1208, 13E8, 1608, 1839, 1X90, 2146, 2424, 2727, 2X54, 31X8, 3568, 3955, 4170, 45E6, 4X70, 5357, 5874, 6204, 6788, 7185, 77E8, 8266, 8950, 9473, X014, X7E4, E414, ...

Pronic numbers: 0, 2, 6, 10, 18, 26, 36, 48, 60, 76, 92, E0, 110, 132, 156, 180, 1X8, 216, 246, 278, 2E0, 326, 362, 3X0, 420, 462, 4X6, 530, 578, 606, 656, 6X8, 740, 796, 832, 890, 930, 992, X36, XX0, E48, EE6, 1066, 1118, 1190, 1246, 1302, 1380, 1440, ...

Fibonacci numbers: 0, 1, 1, 2, 3, 5, 8, 11, 19, 2X, 47, 75, 100, 175, 275, 42X, 6X3, E11, 15E4, 2505, 3XE9, 6402, X2EE, 14701, 22X00, ... (final digits are 0, 1, 1, 2, 3, 5, 8, 1, 9, X, 7, 5, 0, 5, 5, X, 3, 1, 4, 5, 9, 2, E, 1, 0, 1, 1, 2, 3, 5, 8, 1, 9, X, 7, 5, 0, 5, 5, X, 3, 1, 4, 5, 9, 2, E, 1, ..., the period is 20)

Lucas numbers: 2, 1, 3, 4, 7, E, 16, 25, 3E, 64, X3, 147, 22X, 375, 5X3, 958, 133E, 2097, 3416, 54E1, 8907, 121E8, 1XE03, 310EE, 50002, ...

Pell numbers: 0, 1, 2, 5, 10, 25, 5X, 121, 2X0, 6X1, 1462, 33X5, 8030, 17445, 3X8EX, 94X41, 1X8580, 469981, E04102, 2275E85, 5434050, 10E22065, 2727815X, 63456361, 131E68860, ...

Perfect numbers: 6, 24, 354, 4854, E29E854, 17E8891054, 22777E33854, 1057E377XX9481E854, 65933E8691303X4485432649E134E87854, ... (for even perfect numbers, except 6 and 24, all end with 54, besides, except 6, 24 and 354, all end with 054 or 854) (if any odd perfect number exists, then it must end with 1, 09, 39, 69 or 99)

Automorphic numbers: 0, 1, 4, 9, 54, 69, 369, 854, 3854, 8369, E3854, 1E3854, X08369, ...

Narcissistic numbers: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 25, X5, 577, 668, X83, 14765, 938X4, 369862, X2394X, ... (there are 74 such numbers)

Factorions: 0, 1 (no others)

Harshad numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 1X, 20, 29, 30, 38, 40, 47, 50, 56, 60, 65, 70, 74, 80, 83, 90, 92, X0, X1, E0, 100, 10X, 110, 115, 119, 120, 122, 128, 130, 134, 137, 146, 150, 153, 155, 164, 172, 173, 182, 191, 1X0, 1E0, 1EX, 200, 209, 20E, 210, 216, 218, 220, 223, 227, 22X, 236, 240, 244, 245, 249, 254, 260, 263, 268, 272, 281, 287, 290, 2X0, 2X6, 2XX, 300, 308, 30X, 310, 311, 314, 316, 317, 326, 330, 331, 335, 338, 344, 353, 360, 362, 366, 371, 380, 390, 394, 39X, 3E8, 3EE, 400, 407, 409, 416, 420, 423, 425, 434, 440, 443, 446, 452, 45X, 461, 470, 480, 483, 488, 48X, 4X8, 4E6, 500, 506, 508, 510, 515, 524, 533, 539, 542, 550, 551, 554, 560, 570, 576, 57X, 598, 5X0, 5XX, 5E3, 5E6, 600, 605, 607, 614, 620, 622, 623, 628, 630, 632, 641, 650, 660, 662, 669, 66X, 674, 688, 6X6, 700, 704, 706, 713, 722, 731, 740, 748, 750, 754, 75X, 770, 778, 794, 796, 799, 7E4, 800, 803, 805, 812, 816, 821, 830, 840, 846, 84X, 868, 880, 886, 8X1, 8X4, 8E4, 900, 902, 904, 911, 920, 926, 930, 933, 938, 93X, 958, 976, 988, 990, 993, 994, 9E2, X00, X01, X03, X10, X20, X2X, X36, X48, X50, X61, X66, X84, X85, XX0, XX2, XX8, E00, E02, E10, E14, E16, E1X, E38, E46, E56, E74, E77, E92, EE0, 1000, ...

Happy numbers: 1, 10, 100, 222, 488, 848, 884, 1000, 1113, 1131, 1311, 2022, 2202, 2220, 226X, 22X6, 262X, 26X2, 2X26, 2X62, 3111, 4088, 4808, 4880, 622X, 62X2, 6666, 66EE, 6X22, 6E6E, 6EE6, 8048, 8084, 8408, 8480, 8804, 8840, X226, X262, X622, E66E, E6E6, EE66, 10000, 10113, 10131, 10311, 11013, 11031, 11103, 11130, 11301, 11310, 11569, 11596, 11659, 11695, 11956, 11965, 1233E, 12379, 12397, 123E3, 12739, 12793, 12937, 12973, 12E33, 13011, 13101, 13110, 1323E, 13279, 13297, 132E3, 1332E, 1335X, 133X5, 133E2, 1353X, 135X3, 13677, 13729, 13767, 13776, 13792, 13927, 13972, 13X35, 13X53, 13E23, 13E32, 15169, 15196, 1533X, 153X3, 15619, 15691, 15916, 15961, 15X33, 16159, 16195, 16377, 16519, 16591, 16737, 16773, 16915, 16951, 17239, 17293, 17329, 17367, 17376, 17392, 17637, 17673, 17736, 17763, 178XX, 17923, 17932, 17X8X, 17XX8, 187XX, 1888E, 188E8, 18X7X, 18XX7, 18E88, 19156, 19165, 19237, 19273, 19327, 19372, 19516, 19561, 19615, 19651, 19723, 19732, 1X335, 1X353, 1X533, 1X78X, 1X7X8, 1X87X, 1X8X7, 1XX78, 1XX87, 1E233, 1E323, 1E332, 1E888, 20022, 20202, 20220, 2026X, 202X6, 2062X, 206X2, 20X26, 20X62, 2133E, 21379, 21397, 213E3, 21739, 21793, 21937, 21973, 21E33, 22002, 22020, 2206X, 220X6, 22200, 2260X, 22668, 22686, 226X0, 22866, 228EE, 22X06, 22X60, 22E8E, 22EE8, 2313E, 23179, 23197, 231E3, 2331E, 233E1, 23559, 23595, 23719, 23791, 23917, 23955, 23971, 23E13, 23E31, 25359, 25395, 25539, 25593, 258XE, 258EX, 25935, 25953, 25X8E, 25XE8, 25E8X, 25EX8, 2602X, 260X2, 2620X, 26268, 26286, 262X0, 26628, 26682, 26826, 26862, 26X02, 26X20, 27139, 27193, 27319, 27391, 27913, 27931, 28266, 282EE, 285XE, 285EX, 28626, 28662, 28X5E, 28XE5, 28E2E, 28E5X, 28EX5, 28EE2, 29137, 29173, 29317, 29355, 29371, 29535, 29553, 29713, 29731, 2X026, 2X062, 2X206, 2X260, 2X58E, 2X5E8, 2X602, 2X620, 2X85E, 2X8E5, 2XE58, 2XE85, 2E133, 2E28E, 2E2E8, 2E313, 2E331, 2E58X, 2E5X8, 2E82E, 2E85X, 2E8X5, 2E8E2, 2EX58, 2EX85, 2EE28, 2EE82, 30111, 31011, 31101, 31110, 3123E, 31279, 31297, 312E3, 3132E, 3135X, 313X5, 313E2, 3153X, 315X3, 31677, 31729, 31767, 31776, 31792, 31927, 31972, 31X35, 31X53, 31E23, 31E32, 3213E, 32179, 32197, 321E3, 3231E, 323E1, 32559, 32595, 32719, 32791, 32917, 32955, 32971, 32E13, 32E31, 3312E, 3315X, 331X5, 331E2, 3321E, 332E1, 33369, 33396, 3351X, 335X1, 33639, 33693, 33936, 33963, 33X15, 33X51, 33E12, 33E21, 3513X, 351X3, 35259, 35295, 3531X, 353X1, 35529, 35567, 35576, 35592, 35657, 35675, 35756, 35765, 35925, 35952, 35X13, 35X31, 36177, 36339, 36393, 36557, 36575, 36717, 36755, 36771, 36933, 37129, 37167, 37176, 37192, 37219, 37291, 37556, 37565, 37617, 37655, 37671, 37716, 37761, 37912, 37921, 39127, 39172, 39217, 39255, 39271, 39336, 39363, 39525, 39552, 39633, 39712, 39721, 3X135, 3X153, 3X315, 3X351, 3X513, 3X531, 3E123, 3E132, 3E213, 3E231, 3E312, 3E321, 40088, 40808, 40880, 4699X, 469X9, 46X99, 477XX, 4788E, 478E8, 47X7X, 47XX7, 47E88, 48008, 48080, 4878E, 487E8, 48800, 4887E, 488E7, 48E78, 48E87, 4969X, 496X9, 4996X, 499X6, 49X69, 49X96, 4X699, 4X77X, 4X7X7, 4X969, 4X996, 4XX77, 4E788, 4E878, 4E887, 51169, 51196, 5133X, 513X3, 51619, 51691, 51916, 51961, 51X33, 52359, 52395, 52539, 52593, 528XE, 528EX, 52935, 52953, 52X8E, 52XE8, 52E8X, 52EX8, 5313X, 531X3, 53259, 53295, 5331X, 533X1, 53529, 53567, 53576, 53592, 53657, 53675, 53756, 53765, 53925, 53952, 53X13, 53X31, 55239, 55293, 55329, 55367, 55376, 55392, 55637, 55673, 55736, 55763, 558XX, 55923, 55932, 55X8X, 55XX8, 56119, 56191, 56357, 56375, 56537, 56573, 56735, 56753, 56911, 57356, 57365, 57536, 57563, 57635, 57653, 582XE, 582EX, 585XX, 58X2E, 58X5X, 58XX5, 58XE2, 58E2X, 58EX2, 59116, 59161, 59235, 59253, 59325, 59352, 59523, 59532, 59611, 5X133, 5X28E, 5X2E8, 5X313, 5X331, 5X58X, 5X5X8, 5X82E, 5X85X, 5X8X5, 5X8E2, 5XX58, 5XX85, 5XE28, 5XE82, 5E28X, 5E2X8, 5E82X, 5E8X2, 5EX28, 5EX82, ...

Keith numbers: 11, 15, 1E, 22, 2X, 31, 33, 44, 49, 55, 62, 66, 77, 88, 93, 99, XX, EE, 125, 215, 24X, 405, 42X, 654, 80X, 8X3, X59, 1022, 1662, 2044, 3066, 4088, 4X1X, 4XE1, 50XX, 8538, E18E, 17256, 18671, 24X78, 4718E, 517EX, 157617, 1X265X, 5X4074, 5XE140, 6E1449, 6E8515, ...

Polydivisible numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, X, E, 10, 12, 14, 16, 18, 1X, 20, ..., E6, E8, EX, 100, 103, 106, 109, 120, 123, 126, 129, 140, ... (the largest has 24 digits)

Sum-product numbers: 0, 1, 128, 173, 353 (no others)

Rhonda numbers: 3X8, 568, 2389, 2689, 27E6, 29E4, 4297, 4974, 5483, 6X35, 6E64, 7662, 86E8, 8864, 94E4, X867, XE36, ...

Nontotient: 12, 22, 2X, 32, 42, 52, 58, 62, 64, 72, 76, 7X, 82, 96, 9X, X2, X4, E2, EX, 102, 108, 10X, 112, 122, 126, 132, 136, 138, 142, 14X, 152, 15X, 162, 172, 176, 178, 182, 184, 186, 188, 192, 196, 1X2, 1XX, 1E2, 1E8, 1EX, 202, 20X, 212, 214, 218, 222, 226, 22X, 232, 23X, 242, 244, 252, 256, 262, 264, 26X, 272, 274, 282, 286, 28X, 292, 296, 298, 29X, 2X2, 2X4, 2X6, 2E2, 2E6, 2E8, 302, 304, 312, 316, 31X, 322, 332, 334, 336, 342, 344, 348, 352, 354, 366, 36X, 370, 372, 37X, 382, 384, 386, 38X, 392, 398, 39X, 3X2, 3X6, 3E2, 3E8, 3EX, 402, 406, 412, 416, 418, 422, 424, 428, 42X, 432, 43X, 442, 444, 44X, 452, 458, 462, 466, 472, 476, 478, 47X, 482, 486, 488, 492, 49X, 4X2, 4X6, 4XX, 4E2, 4E6, 502, 504, 508, 50X, 512, 518, 522, 524, 528, 52X, 532, 536, 53X, 542, 546, 54X, 552, 558, 55X, 562, 566, 56X, 570, 572, 57X, 582, 588, 592, 596, 5X2, 5X4, 5X6, 5XX, 5E2, 602, 604, 606, 608, 60X, 612, 622, 624, 626, 62X, 632, 638, 642, 644, 64X, 652, 65X, 662, 666, 668, 670, 672, 676, 67X, 682, 684, 688, 692, 696, 6X2, 6X4, 6X8, 6XX, 6E2, 6E6, 6EX, 702, 706, 712, 716, 718, 722, 724, 72X, 732, 738, 73X, 742, 748, 74X, 752, 756, 758, 75X, 762, 764, 772, 776, 778, 782, 786, 78X, 792, 79X, 7X2, 7X4, 7X6, 7XX, 7E2, 7E6, 7E8, 802, 804, 806, 810, 812, 81X, 822, 826, 832, 836, 83X, 842, 844, 846, 848, 852, 856, 858, 862, 86X, 872, 876, 878, 87X, 882, 884, 886, 888, 892, 896, 898, 89X, 8X2, 8E2, 8EX, 902, 910, 912, 916, 922, 924, 92X, 932, 934, 936, 938, 93X, 942, 944, 946, 94X, 952, 956, 962, 966, 96X, 972, 976, 978, 97X, 982, 984, 98X, 992, 996, 998, 99X, 9X2, 9X4, 9E2, 9E6, X02, X04, X08, X12, X18, X1X, X22, X24, X2X, X32, X42, X46, X48, X52, X54, X56, X58, X62, X64, X66, X70, X72, X78, X7X, X82, X8X, X92, X96, X98, XX2, XX4, XE2, XE4, XE8, E02, E04, E06, E0X, E12, E16, E18, E22, E26, E32, E38, E3X, E42, E46, E4X, E52, E54, E56, E5X, E62, E72, E76, E7X, E82, E84, E86, E88, E8X, E92, E98, E9X, EX2, EX6, EXX, EE2, EEX, ... (most numbers end with 2 are nontotient)

Fermat primes: 3, 5, 15, 195, 31E15, ... (except 3, all end with 5)

Mersenne primes: 3, 7, 27, X7, 48X7, 63X27, 2134X7, 4EE2308X7, 1057E377E1343360X7, 79524577E0E577476E7X8EX27, 82521X179793278231206852X37X27, 2X695925806818735399X37X20X31E3534X7, ... (except 3, all end with 7)

Palindromic primes: 2, 3, 5, 7, E, 11, 111, 131, 141, 171, 181, 1E1, 535, 545, 565, 575, 585, 5E5, 727, 737, 747, 767, 797, E1E, E2E, E6E, 10301, 10401, 10601, 11111, 11411, 11511, 11811, 11911, 11X11, 11E11, 12421, 12X21, 12E21, 13631, 13831, 13931, 13X31, 13E31, 14041, 14X41, 15051, 15151, 15451, 16061, 16161, 17071, 17371, 17471, 17571, 17971, 17E71, 18381, 18681, 18881, 18X81, 18E81, 19191, 19491, 19591, 19891, 19991, 1X1X1, 1X3X1, 1X4X1, 1E0E1, 1E5E1, 50605, 50705, 50E05, 51715, 51915, 52125, 52225, 52425, 52925, 53135, 53435, 53735, 54245, 54645, 54745, 55855, 55E55, 56165, 56765, 56965, 57175, 57875, 58385, 58885, 58985, 59195, 59295, 59495, 59695, 59995, 59E95, 5X1X5, 5X4X5, 5X6X5, 5E2E5, 5E4E5, 5E7E5, 5E9E5, 70107, 70507, 70607, 70E07, 71317, 71X17, 71E17, 72027, 72127, 72227, 72627, 72827, 72E27, 73037, 73137, 73637, 73837, 74247, 74547, 74847, 75357, 75557, 75657, 75X57, 75E57, 76067, 76267, 76567, 77177, 77277, 77377, 77E77, 78087, 78187, 78587, 78787, 78887, 78E87, 79697, 79897, 7X1X7, 7X2X7, 7X7X7, 7E0E7, 7E1E7, 7E2E7, 7EEE7, E010E, E030E, E090E, E0X0E, E101E, E151E, E181E, E1E1E, E252E, E262E, E303E, E333E, E363E, E414E, E454E, E484E, E4X4E, E505E, E585E, E595E, E5X5E, E606E, E616E, E686E, E696E, E6E6E, E707E, E737E, E7X7E, E818E, E848E, E858E, E919E, E939E, EX6XE, EX9XE, EXXXE, EE1EE, EE9EE, ...

Emirps: 15, 51, 57, 5E, 75, E5, 107, 117, 11E, 12E, 13E, 145, 157, 16E, 17E, 195, 19E, 1X7, 1E5, 507, 51E, 541, 577, 587, 591, 59E, 5E1, 5EE, 701, 705, 711, 751, 76E, 775, 785, 7X1, 7EE, E11, E15, E21, E31, E61, E67, E71, E91, E95, EE5, EE7, ...

Palindromic squares: 0, 1, 4, 9, 121, 484, 10201, 12321, 14641, 16661, 16Ɛ61, 40804, 41414, 44944, ...

Fermat pseudoprime base 2: 245, 3X9, 459, 781, 977, 1001, 1129, 1227, 1515, 1691, 1771, 1X91, 2401, 2641, 2643, 2861, 31E1, 39X1, 4731, 4995, 4XX9, 51X7, 5E31, 6161, 6661, 74X9, 7E51, 7E57, 8111, 8477, 9111, 9201, 9801, X9X9, XX01, E667, 11389, 11641, 12XX9, 14E91, 15521, 15X61, 16221, 16361, 16371, 17229, 18281, 18545, 1E0X1, 1E901, 20141, 20927, 23001, 24531, 24E11, 26561, 27E79, 29291, 2E165, 2E217, 30389, 31031, 317E1, 31941, 334E1, 36219, 37261, 37741, 3X771, 40285, 40501, 41581, 425X9, 43171, 43301, 44627, 447E5, 46461, 4X611, 50691, 52041, 55615, 57101, 5X361, 5E3XE, 61061, 63201, 63229, 63681, 67451, 72481, 7336E, 75219, 77289, 77795, 79X41, 79E95, 7E401, 83701, 85E31, 89325, 909E5, 91091, 94491, 95531, 95591, 9X081, 9E689, X0781, X2E19, X46X9, X4X31, X7231, X78X1, X9301, XE301, E0101, E2X21, E7575, 100701, 102221, 102675, 104887, 105727, 109285, 10X141, 111467, 111677, 1137X7, 113891, 115241, 116475, 117331, 118831, 1192E1, 11E959, 122367, 122461, 132231, 1342X1, 137401, 140819, 141461, 145101, 145761, 149595, 153055, 158521, 16846E, 16X2X1, 1713X7, 172XX1, 174361, 179361, 184717, 185301, 1872X9, 19015E, 194947, 197961, 197X61, 199629, 19972E, 1X1751, 1X4761, 1E0037, 1E2831, 1E5815, 1E6E01, 1E7691, 1E9855, 1E9991, 208691, 2092X5, 209867, 2148X9, 217281, 219091, 227X41, 229X35, 232101, 238601, 238811, 23EX15, 240E81, 244245, 244861, 251731, 255EE1, 259145, 260591, 262281, 267861, 26E641, 272581, 276105, 277E89, 278891, 279301, 281001, 281045, 2810X1, 283901, 285207, 289441, 289X6E, 28E841, 292331, 2X3231, 2X3801, 2X9861, 2X9E35, 2X9E85, 2E1XE1, 2E7491, 2E9307, 2E9X51, 2EX441, 2EE795, 301301, 306761, 311427, 311565, 31E501, 327391, 3355E5, 339701, 341179, 3450X1, 345551, 347101, 34X391, 351401, 351661, 361391, 362561, 3636E7, 374101, 3820E9, 382347, 390631, 39X291, 3E13X1, 3E5121, 401401, 405491, 410515, 4117X1, 414101, 414E77, 41X231, 428261, 429107, 429401, 429995, 433931, 438E65, 442481, 442761, 448317, 448921, 453111, 454601, 456071, 464X21, 467581, 46E381, 470471, 472921, 4769X7, 479E61, 484281, 496631, 497421, 4X2855, 501629, 504611, 504E35, 5162X9, 517137, 524561, 529897, 530301, 53E32E, 543731, 555681, 5557E1, 562E31, 5729X1, 574837, 575105, 585647, 591627, 595E6E, 5X3751, 5X4X47, 5X5761, 5X70E1, 5XEX81, 5E0081, 5E0189, 5E7589, 5EX0X9, 600601, 604531, 608521, 6087E7, 609811, 6141X1, 618E41, 619X57, 61E601, 61E861, 620065, 621831, 628797, 638301, 641E01, 6448E1, 6569X9, 65E001, 661881, 673241, 68E465, 696371, 6X6471, 6XE181, 6E5881, 6E8655, 702701, 707761, 716261, 72X981, 733341, 734445, 736749, 7409E7, 741361, 743721, 747371, 748861, 749031, 756961, 765X61, 773021, 775941, 7800E7, 7808X1, 7808E5, 795561, 7XE861, 7E9X91, 801801, 802401, 807E57, 80X471, 821901, 842349, 844841, 846931, 849101, 853971, 85E229, 85E401, 863731, 86E145, 8737E9, 875061, 8836X9, 8838X1, 885435, 888721, 892861, 894277, 8X4727, 8X88X9, 8E8201, 8E8601, 911001, 912495, 915171, 922031, 924559, 925729, 92X5X1, 93151E, 936E41, 942801, 954051, 9719E1, 984EX9, 988135, 994401, 994E37, 9X5301, 9EE945, X01E05, X08951, X0E491, X10X61, X12929, X1E5E5, X21231, X24661, X56705, X5X211, X61X61, X6288E, X67941, X68X61, X79005, X79241, X89421, XX5341, XE2091, XE3761, E05491, E05565, E0635E, E0E761, E19391, E21277, E28633, E2E201, E36X87, E44561, E63331, E6XX61, E6EE89, E7X161, E83691, E8X5X1, E99701, E9EX31, EX53X7, EE6607, EE6E15, ...

Fermat pseudoprime base 10: 55, 77, E1, EE, 101, 187, 275, 281, 4X7, 731, 777, 781, E55, 1001, 1111, 1117, 1221, 1361, 1515, 1691, 1771, 1887, 1E47, 2081, 2X91, 3131, 3267, 3421, 3611, 3795, 39X1, 51X7, 5301, 6161, 64E1, 7217, 7401, 7575, 7677, 7871, 7881, 7X41, 8181, 8327, 8761, 8805, 8921, 9201, 9647, X921, XX01, E1E1, E365, EX37, 10001, 10101, 10441, 11211, 11X91, 12387, 12X41, 13397, 13601, 14241, 14971, 14E91, 15117, 15961, 16277, 16371, 17501, 17675, 17905, 17977, 18211, 18921, 19741, 1X207, 1X347, 1X461, 1X537, 1X66E, 1E401, 1E647, 1E901, 202X1, 23001, 23391, 24221, 24531, 24E15, 26561, 26877, 268E7, 2X301, 2X987, 2XE91, 2E591, 30747, 31031, 31E41, 32455, 32691, 33331, 34521, 36751, 37001, 37741, 38015, 38191, 38417, 39721, 39877, 39E31, 3X011, 3X4X1, 3E991, 40285, 40501, 42X01, 43301, 43401, 434X7, 43681, 44627, 46461, 48407, 4X611, 4EE55, 50691, 52041, 53941, 53E01, 56827, 57101, 5X001, 5X245, 60071, 61061, 61381, 62291, 63001, 64101, 64461, 64601, 66067, 68575, 69X71, 70X17, 71X81, 73317, 73381, 74347, 755E1, 75801, 77141, 79E95, 7X401, 7XX17, 7XE41, 8042E, 81081, 82X85, 83701, 85E31, 89X21, 8E201, 90XX7, 91091, 92301, 93X01, 96455, 99231, 9X081, X17X7, X1X1E, X2515, X3501, X6747, X7041, X8241, X8941, XE301, E0101, E0X81, E2E81, E51E5, E6455, E7061, E7281, EE001, EEEEE, 101101, 101497, 102221, 107161, 108081, 108XX7, 10XE11, 10E717, 10E817, 111111, 113891, 115061, 115241, 117331, 118271, 11X047, 11E3E7, 11E401, 122461, 1225X1, 123321, 123401, 127577, 12E751, 132231, 132E51, 138791, 13X001, 13X4E5, 14073E, 141141, 141461, 144561, 144851, 144E7E, 145101, 14578E, 1460X7, 146161, 1467X1, 147541, 14XX71, 150015, 151371, 154785, 156947, 157081, 157531, 157X61, 158531, 159E61, 16544E, 166977, 16X791, 16EE61, 170691, 172XX1, 1754E1, 176601, 1778X1, 179361, 17X397, 182681, 185391, 186395, 1894X1, 190101, 191057, 194X81, 196495, 197X61, 19X315, 19EE31, 1X6901, 1X71X7, 1X8815, 1E2855, 1E5411, 1E6E01, 1E8671, 1E87X1, 1EX757, 1EEXX7, 205861, 2084X7, 208691, 20X181, 210401, 211981, 217281, 217815, 2179E7, 219091, 220E61, 227X41, 231091, 231761, 232017, 232101, 232475, 236115, 238601, 241X0E, 243321, 246191, 247477, 249341, 249EX7, 253761, 25X477, 260591, 262737, 2642E1, 264XX1, 264E47, 268515, 269777, 272201, 272727, 276105, 278901, 279247, 279301, 281001, 283901, 290X01, 293171, 298701, 299341, 299997, 2X9861, 2E0481, 2E1857, 2E315E, 2E3381, 2E6117, 2E9441, 2EE201, 300091, 301301, 304197, 306307, 308E31, 30E147, 313131, 319271, 31X8X1, 31E501, 320X17, 324867, 32X227, 336331, 337691, 339701, 342011, 342441, 343101, 3450X1, 347347, 3478E1, 348991, 349561, 350715, 351661, 355311, 35E681, 360691, 361391, 36428E, 369141, 36E107, 370X21, 3740X1, 388301, 396131, 399761, 39X821, 3X02X7, 3X5801, 3E1601, 3E7E61, 3EX201, 3EX277, 3EX541, 3EE637, 401401, 404691, 40E601, 410501, 412X1E, 414047, 414E77, 419E35, 41X231, 41E141, 420681, 4236X5, 428261, 42E377, 42E781, 431E01, 432251, 432985, 437261, 43X781, 442761, 4449X1, 446E81, 447437, 449401, 4512X1, 453E21, 458641, 459E31, 45X161, 461901, 464677, 4769X7, 477831, 482147, 482E81, 483841, 484991, 485281, 486687, 48X6X7, 493361, 496631, 498E11, 4X3981, 503427, 508091, 510847, 515151, 525141, 52X461, 52EX9E, 534501, 534947, 536701, 541541, 545677, 54663E, 548531, 54E211, 550055, 550891, 552X97, 555295, 562E31, 566661, 57E141, 584441, 591215, 598541, 5X5761, 5X5771, 5XEX81, 5E3261, 5E5X81, 600215, 605E61, 610061, 616161, 619X57, 61EX47, 621831, 630841, 638301, 641E01, 6448E1, 6486X7, 650301, 65E001, 65E461, 664231, 664EE5, 672991, 680055, 687201, 692601, 695535, 696371, 6X0735, 6X3361, 6X5001, 6E3187, 6E6091, 6EX501, 700007, 7022E1, 702955, 7036E7, 707761, 713001, 715681, 716261, 71X681, 724207, 729991, 72E901, 738X41, 739X17, 73E651, 742901, 7517X1, 753301, 756961, 75E121, 761877, 767X71, 769191, 76XX01, 776E5E, 7808E5, 781375, 788541, 78X441, 798491, 7XE855, 7E0551, 7E5517, 7E9X91, 801801, 803E81, 807717, 80X471, 810081, 818181, 81XE71, 821901, 833327, 836315, 836517, 838801, 83E7X1, 841271, 845E31, 846147, 84X211, 853971, 854831, 85E401, 86X351, 872197, 882291, 882X1E, 883851, 88E277, 892281, 892X77, 893391, 893557, 8X6291, 8X9941, 8E9001, 8EX301, 8EX655, 906E91, 91E481, 920075, 922031, 924391, 925881, 928767, 938601, 9456X7, 9484E7, 948991, 949981, 958X85, 95E047, 95E90E, 970001, 994401, 9X1561, 9X5301, 9E7951, X03531, X03901, X07521, X0XX01, X0E491, X13X91, X14161, X19141, X21231, X28617, X30801, X31701, X42601, X57337, X65381, X68X61, X6X047, X71421, X77221, X79241, X96X47, X986X7, X99575, XX0X21, XX5341, XXXE01, XE4E01, XE4E17, E00041, E00EE1, E024X7, E05565, E0E0E1, E21911, E30EX7, E318XE, E33X81, E3X081, E40E55, E41501, E53637, E61E61, E63331, E64X21, E70681, E7X161, E83755, E89691, E8X397, E8XE31, E8E661, E94721, E99301, E9EX31, EX2XE1, EX7401, EXXX9E, EE4355, EEX481, EEE001, ...

Wieferich primes base 2: 771, 2047, ...

Wieferich primes base 10: 1685, 5E685, ...

Carmichael numbers: 3X9, 781, 1001, 1515, 1771, 39X1, 51X7, 6161, 9201, 14E91, 1E901, 23001, 26561, 30389, 31031, 37741, 4X611, 57101, 61061, 79E95, 83701, 91091, 102221, 115241, 122461, 132231, 141461, 145101, 172XX1, 179361, 197X61, 1E6E01, 208691, 217281, 227X41, 277E89, 279301, 283901, 301301, 339701, 3450X1, 351661, 401401, 414E77, 41X231, 428261, 442761, 4769X7, 496631, 5X5761, 638301, 65E001, 716261, 756961, 7808E5, 853971, 85E401, 994401, 9X5301, X0E491, X21231, X68X61, XX5341, ...

Permutable primes: 2, 3, 5, 7, E, 11, 15, 57, 5E, 111, 117, 11E, 5EEE, 11111, 1111111111111111111, ... (the smallest representative prime of the permutation set)

Circular primes: 2, 3, 5, 7, E, 11, 15, 57, 5E, 111, 117, 11E, 175, 1E7, 157E, 555E, 11111, 115E77, 1111111111111111111, ... (the smallest representative prime of the cycle)

Left-truncatable primes: 2, 3, 5, 7, E, 15, 17, 1E, 25, 27, 35, 37, 3E, 45, 4E, 57, 5E, 67, 6E, 75, 85, 87, 8E, 95, X7, XE, E5, E7, 117, 11E, 125, 13E, 145, 157, 167, 16E, 175, 18E, 195, 1X7, 1E5, 1E7, 217, 21E, 225, 237, 24E, 25E, 267, 285, 295, 2XE, 315, 325, 327, 33E, 34E, 357, 35E, 375, 3XE, 3E5, 3E7, 415, 41E, 427, 435, 437, 457, 45E, 46E, 485, 48E, 517, 51E, 527, 535, 545, 557, 575, 585, 587, 58E, 5E5, 5E7, 615, 617, 61E, 637, 63E, 66E, 675, 687, 68E, 695, 6X7, 71E, 727, 735, 737, 745, 767, 76E, 775, 785, 817, 825, 835, 85E, 867, 88E, 8X7, 8XE, 8E5, 8E7, 91E, 927, 95E, 987, 995, 9X7, 9XE, 9E5, X17, X27, X35, X37, X3E, X45, X4E, X5E, X6E, X87, X95, XX7, XXE, XE7, E15, E1E, E25, E37, E45, E67, E6E, E95, EE5, EE7, ...

Right-truncatable primes: 2, 3, 5, 7, E, 25, 27, 31, 35, 37, 3E, 51, 57, 5E, 75, E5, E7, 251, 255, 25E, 271, 277, 27E, 315, 357, 35E, 375, 377, 3E5, 3E7, 511, 517, 51E, 575, 577, 5E1, 5E5, 5E7, 5EE, 751, E71, 2555, 2557, 2715, 2717, 2771, 27E1, 27E7, 3155, 315E, 35E1, 35E7, 35EE, 3755, 375E, 3771, 377E, 3E51, 3E55, 3E75, 3E7E, 5117, 511E, 51E7, 575E, 5771, 5777, 577E, 5E17, 5E1E, 5E55, 5E75, 5EE1, 7511, E711, 25551, 25577, 27151, 27155, 2715E, 27E17, 27E77, 31551, 315E5, 375E5, 375EE, 37715, 3E515, 3E557, 3E55E, 3E7E5, 511E7, 51E71, 575EE, 57711, 57717, 577E7, 577EE, 5E175, 5E1E7, 5E55E, 5E751, 5EE17, 75111, 75115, E7111, E7115, 255515, 255775, 271555, 2715E1, 27E177, 27E17E, 27E771, 375E55, 375EE5, 377151, 3E5155, 3E5157, 3E515E, 3E5571, 3E557E, 3E55E7, 3E7E5E, 511E77, 51E717, 575EEE, 577117, 577175, 577E75, 5E55E1, 5E55EE, 5EE171, 751115, E71157, ...

Length of repunit primes: 2, 3, 5, 17, 81, 91, 225, 255, 4X5, 5777, 879E, 198E1, 23175, 311407, ...