2486:
2510:
96:
588:
223:
109:
581:
156:
was lost, and not rediscovered until 1860. In the meantime, icosahedral numbers had been studied again by other mathematicians, including
1388:
574:
2551:
1383:
165:
1398:
1378:
2091:
1671:
1393:
216:
2177:
1493:
1843:
1162:
955:
401:
1878:
1848:
1523:
1513:
2019:
1433:
1167:
1147:
406:
386:
1709:
1873:
1968:
1591:
1348:
1157:
1139:
1033:
1023:
1013:
396:
378:
277:
267:
257:
1853:
2570:
2096:
1641:
1262:
1048:
1043:
1038:
1028:
1005:
501:
292:
287:
282:
272:
249:
209:
157:
1081:
185:
1338:
38:
2207:
2172:
1958:
1868:
1742:
1717:
1626:
1616:
1228:
1210:
1130:
467:
444:
369:
2544:
2467:
1737:
1611:
1242:
1018:
798:
725:
481:
262:
189:
149:
102:
The first such numbers are 1, 12, 48, 124, 255, 456, 742, 1128, 1629, 2260, 3036, 3972, 5083, … (sequence
2575:
1722:
1576:
1503:
658:
536:
2431:
2071:
161:
2364:
2258:
2222:
1963:
1686:
1666:
1483:
1152:
940:
912:
391:
2086:
1950:
1945:
1913:
1676:
1651:
1646:
1621:
1551:
1547:
1478:
1368:
1200:
996:
965:
434:
240:
2485:
2489:
2243:
2238:
2152:
2126:
2024:
2003:
1775:
1656:
1606:
1528:
1498:
1438:
1185:
1116:
829:
462:
355:
194:, Sources in the History of Mathematics and Physical Sciences, vol. 4, Springer, p. 118
1373:
2537:
2383:
2328:
2182:
2157:
2131:
1908:
1586:
1581:
1508:
1488:
1473:
1195:
1177:
1096:
1086:
1071:
849:
834:
429:
416:
335:
325:
315:
121:
2521:
2419:
2212:
1798:
1770:
1760:
1752:
1636:
1601:
1596:
1563:
1257:
1220:
1111:
1106:
1101:
1091:
1063:
950:
902:
897:
854:
793:
496:
454:
350:
345:
340:
330:
307:
137:
133:
129:
2395:
2284:
2217:
2143:
2066:
2040:
1858:
1571:
1428:
1363:
1333:
1323:
1318:
984:
892:
839:
683:
623:
232:
21:
2400:
2268:
2253:
2117:
2081:
2056:
1932:
1903:
1888:
1765:
1661:
1631:
1358:
1313:
1190:
788:
783:
778:
750:
735:
648:
633:
611:
598:
424:
145:
141:
2564:
2323:
2307:
2248:
2202:
1898:
1883:
1793:
1518:
1076:
945:
907:
864:
745:
730:
720:
678:
668:
643:
546:
320:
128:. Prior to Descartes, figurate numbers had been studied by the ancient Greeks and by
2359:
2348:
2263:
2101:
2076:
1993:
1893:
1863:
1838:
1822:
1727:
1694:
1443:
1417:
1328:
1267:
844:
740:
673:
653:
628:
551:
506:
2318:
2193:
1998:
1462:
1353:
1308:
1303:
1053:
960:
859:
688:
663:
638:
541:
297:
25:
2455:
2436:
1732:
1343:
566:
2061:
1988:
1980:
1785:
1699:
817:
521:
2162:
2167:
1826:
2517:
2509:
201:
144:. Descartes introduced the study of figurate numbers based on the
2453:
2417:
2381:
2345:
2305:
1930:
1819:
1545:
1460:
1415:
1292:
982:
929:
881:
815:
767:
705:
609:
570:
205:
191:
Descartes on
Polyhedra: A Study of the "De solidorum elementis"
120:
The first study of icosahedral numbers appears to have been by
104:
2525:
152:; his work included the icosahedral numbers. However,
41:
2277:
2231:
2191:
2142:
2116:
2049:
2033:
2012:
1979:
1944:
1784:
1751:
1708:
1685:
1562:
1250:
1241:
1219:
1176:
1138:
1129:
1062:
1004:
995:
529:
519:
489:
480:
453:
415:
377:
368:
306:
248:
239:
90:
32:th icosahedral number is given by the formula
2545:
582:
217:
8:
2552:
2538:
2450:
2414:
2378:
2342:
2302:
1976:
1941:
1927:
1816:
1559:
1542:
1457:
1412:
1289:
1247:
1135:
1001:
992:
979:
926:
883:Possessing a specific set of other numbers
878:
812:
764:
702:
606:
589:
575:
567:
526:
486:
374:
245:
224:
210:
202:
58:
42:
40:
91:{\displaystyle {n(5n^{2}-5n+2) \over 2}}
177:
7:
2506:
2504:
2524:. You can help Knowledge (XXG) by
14:
2508:
2484:
2092:Perfect digit-to-digit invariant
79:
48:
1:
931:Expressible via specific sums
402:Centered dodecahedral numbers
407:Centered icosahedral numbers
387:Centered tetrahedral numbers
2020:Multiplicative digital root
397:Centered octahedral numbers
278:Centered heptagonal numbers
268:Centered pentagonal numbers
258:Centered triangular numbers
2592:
2503:
502:Squared triangular numbers
293:Centered decagonal numbers
288:Centered nonagonal numbers
283:Centered octagonal numbers
273:Centered hexagonal numbers
2480:
2463:
2449:
2427:
2413:
2391:
2377:
2355:
2341:
2314:
2301:
2097:Perfect digital invariant
1940:
1926:
1834:
1815:
1672:Superior highly composite
1558:
1541:
1469:
1456:
1424:
1411:
1299:
1288:
991:
978:
936:
925:
888:
877:
825:
811:
774:
763:
716:
701:
619:
605:
186:Federico, Pasquale Joseph
158:Friedrich Wilhelm Marpurg
1710:Euler's totient function
1494:Euler–Jacobi pseudoprime
769:Other polynomial numbers
468:Square pyramidal numbers
445:Stella octangula numbers
1524:Somer–Lucas pseudoprime
1514:Lucas–Carmichael number
1349:Lazy caterer's sequence
263:Centered square numbers
1399:Wedderburn–Etherington
799:Lucky numbers of Euler
154:De solidorum elementis
126:De solidorum elementis
124:, around 1630, in his
92:
2516:This article about a
1687:Prime omega functions
1504:Frobenius pseudoprime
1294:Combinatorial numbers
1163:Centered dodecahedral
956:Primary pseudoperfect
392:Centered cube numbers
166:Sir Frederick Pollock
150:semiregular polyhedra
93:
2146:-composition related
1946:Arithmetic functions
1548:Arithmetic functions
1484:Elliptic pseudoprime
1168:Centered icosahedral
1148:Centered tetrahedral
435:Dodecahedral numbers
39:
2072:Kaprekar's constant
1592:Colossally abundant
1479:Catalan pseudoprime
1379:Schröder–Hipparchus
1158:Centered octahedral
1034:Centered heptagonal
1024:Centered pentagonal
1014:Centered triangular
614:and related numbers
552:8-hypercube numbers
547:7-hypercube numbers
542:6-hypercube numbers
537:5-hypercube numbers
507:Tesseractic numbers
463:Tetrahedral numbers
440:Icosahedral numbers
356:Dodecagonal numbers
24:that represents an
2490:Mathematics portal
2432:Aronson's sequence
2178:Smarandache–Wellin
1935:-dependent numbers
1642:Primitive abundant
1529:Strong pseudoprime
1519:Perrin pseudoprime
1499:Fermat pseudoprime
1439:Wolstenholme prime
1263:Squared triangular
1049:Centered decagonal
1044:Centered nonagonal
1039:Centered octagonal
1029:Centered hexagonal
430:Octahedral numbers
336:Heptagonal numbers
326:Pentagonal numbers
316:Triangular numbers
162:Georg Simon KlĂĽgel
88:
18:icosahedral number
2533:
2532:
2498:
2497:
2476:
2475:
2445:
2444:
2409:
2408:
2373:
2372:
2337:
2336:
2297:
2296:
2293:
2292:
2112:
2111:
1922:
1921:
1811:
1810:
1807:
1806:
1753:Aliquot sequences
1564:Divisor functions
1537:
1536:
1509:Lucas pseudoprime
1489:Euler pseudoprime
1474:Carmichael number
1452:
1451:
1407:
1406:
1284:
1283:
1280:
1279:
1276:
1275:
1237:
1236:
1125:
1124:
1082:Square triangular
974:
973:
921:
920:
873:
872:
807:
806:
759:
758:
697:
696:
564:
563:
560:
559:
515:
514:
497:Pentatope numbers
476:
475:
364:
363:
351:Decagonal numbers
346:Nonagonal numbers
341:Octagonal numbers
331:Hexagonal numbers
138:pyramidal numbers
134:polygonal numbers
86:
2583:
2571:Figurate numbers
2554:
2547:
2540:
2512:
2505:
2488:
2451:
2420:Natural language
2415:
2379:
2347:Generated via a
2343:
2303:
2208:Digit-reassembly
2173:Self-descriptive
1977:
1942:
1928:
1879:Lucas–Carmichael
1869:Harmonic divisor
1817:
1743:Sparsely totient
1718:Highly cototient
1627:Multiply perfect
1617:Highly composite
1560:
1543:
1458:
1413:
1394:Telephone number
1290:
1248:
1229:Square pyramidal
1211:Stella octangula
1136:
1002:
993:
985:Figurate numbers
980:
927:
879:
813:
765:
703:
607:
591:
584:
577:
568:
527:
487:
375:
246:
233:Figurate numbers
226:
219:
212:
203:
196:
195:
182:
130:Johann Faulhaber
107:
97:
95:
94:
89:
87:
82:
63:
62:
43:
2591:
2590:
2586:
2585:
2584:
2582:
2581:
2580:
2561:
2560:
2559:
2558:
2501:
2499:
2494:
2472:
2468:Strobogrammatic
2459:
2441:
2423:
2405:
2387:
2369:
2351:
2333:
2310:
2289:
2273:
2232:Divisor-related
2227:
2187:
2138:
2108:
2045:
2029:
2008:
1975:
1948:
1936:
1918:
1830:
1829:related numbers
1803:
1780:
1747:
1738:Perfect totient
1704:
1681:
1612:Highly abundant
1554:
1533:
1465:
1448:
1420:
1403:
1389:Stirling second
1295:
1272:
1233:
1215:
1172:
1121:
1058:
1019:Centered square
987:
970:
932:
917:
884:
869:
821:
820:defined numbers
803:
770:
755:
726:Double Mersenne
712:
693:
615:
601:
599:natural numbers
595:
565:
556:
511:
472:
449:
411:
360:
302:
235:
230:
200:
199:
184:
183:
179:
174:
146:Platonic solids
132:, but only for
118:
103:
54:
44:
37:
36:
22:figurate number
12:
11:
5:
2589:
2587:
2579:
2578:
2573:
2563:
2562:
2557:
2556:
2549:
2542:
2534:
2531:
2530:
2513:
2496:
2495:
2493:
2492:
2481:
2478:
2477:
2474:
2473:
2471:
2470:
2464:
2461:
2460:
2454:
2447:
2446:
2443:
2442:
2440:
2439:
2434:
2428:
2425:
2424:
2418:
2411:
2410:
2407:
2406:
2404:
2403:
2401:Sorting number
2398:
2396:Pancake number
2392:
2389:
2388:
2382:
2375:
2374:
2371:
2370:
2368:
2367:
2362:
2356:
2353:
2352:
2346:
2339:
2338:
2335:
2334:
2332:
2331:
2326:
2321:
2315:
2312:
2311:
2308:Binary numbers
2306:
2299:
2298:
2295:
2294:
2291:
2290:
2288:
2287:
2281:
2279:
2275:
2274:
2272:
2271:
2266:
2261:
2256:
2251:
2246:
2241:
2235:
2233:
2229:
2228:
2226:
2225:
2220:
2215:
2210:
2205:
2199:
2197:
2189:
2188:
2186:
2185:
2180:
2175:
2170:
2165:
2160:
2155:
2149:
2147:
2140:
2139:
2137:
2136:
2135:
2134:
2123:
2121:
2118:P-adic numbers
2114:
2113:
2110:
2109:
2107:
2106:
2105:
2104:
2094:
2089:
2084:
2079:
2074:
2069:
2064:
2059:
2053:
2051:
2047:
2046:
2044:
2043:
2037:
2035:
2034:Coding-related
2031:
2030:
2028:
2027:
2022:
2016:
2014:
2010:
2009:
2007:
2006:
2001:
1996:
1991:
1985:
1983:
1974:
1973:
1972:
1971:
1969:Multiplicative
1966:
1955:
1953:
1938:
1937:
1933:Numeral system
1931:
1924:
1923:
1920:
1919:
1917:
1916:
1911:
1906:
1901:
1896:
1891:
1886:
1881:
1876:
1871:
1866:
1861:
1856:
1851:
1846:
1841:
1835:
1832:
1831:
1820:
1813:
1812:
1809:
1808:
1805:
1804:
1802:
1801:
1796:
1790:
1788:
1782:
1781:
1779:
1778:
1773:
1768:
1763:
1757:
1755:
1749:
1748:
1746:
1745:
1740:
1735:
1730:
1725:
1723:Highly totient
1720:
1714:
1712:
1706:
1705:
1703:
1702:
1697:
1691:
1689:
1683:
1682:
1680:
1679:
1674:
1669:
1664:
1659:
1654:
1649:
1644:
1639:
1634:
1629:
1624:
1619:
1614:
1609:
1604:
1599:
1594:
1589:
1584:
1579:
1577:Almost perfect
1574:
1568:
1566:
1556:
1555:
1546:
1539:
1538:
1535:
1534:
1532:
1531:
1526:
1521:
1516:
1511:
1506:
1501:
1496:
1491:
1486:
1481:
1476:
1470:
1467:
1466:
1461:
1454:
1453:
1450:
1449:
1447:
1446:
1441:
1436:
1431:
1425:
1422:
1421:
1416:
1409:
1408:
1405:
1404:
1402:
1401:
1396:
1391:
1386:
1384:Stirling first
1381:
1376:
1371:
1366:
1361:
1356:
1351:
1346:
1341:
1336:
1331:
1326:
1321:
1316:
1311:
1306:
1300:
1297:
1296:
1293:
1286:
1285:
1282:
1281:
1278:
1277:
1274:
1273:
1271:
1270:
1265:
1260:
1254:
1252:
1245:
1239:
1238:
1235:
1234:
1232:
1231:
1225:
1223:
1217:
1216:
1214:
1213:
1208:
1203:
1198:
1193:
1188:
1182:
1180:
1174:
1173:
1171:
1170:
1165:
1160:
1155:
1150:
1144:
1142:
1133:
1127:
1126:
1123:
1122:
1120:
1119:
1114:
1109:
1104:
1099:
1094:
1089:
1084:
1079:
1074:
1068:
1066:
1060:
1059:
1057:
1056:
1051:
1046:
1041:
1036:
1031:
1026:
1021:
1016:
1010:
1008:
999:
989:
988:
983:
976:
975:
972:
971:
969:
968:
963:
958:
953:
948:
943:
937:
934:
933:
930:
923:
922:
919:
918:
916:
915:
910:
905:
900:
895:
889:
886:
885:
882:
875:
874:
871:
870:
868:
867:
862:
857:
852:
847:
842:
837:
832:
826:
823:
822:
816:
809:
808:
805:
804:
802:
801:
796:
791:
786:
781:
775:
772:
771:
768:
761:
760:
757:
756:
754:
753:
748:
743:
738:
733:
728:
723:
717:
714:
713:
706:
699:
698:
695:
694:
692:
691:
686:
681:
676:
671:
666:
661:
656:
651:
646:
641:
636:
631:
626:
620:
617:
616:
610:
603:
602:
596:
594:
593:
586:
579:
571:
562:
561:
558:
557:
555:
554:
549:
544:
539:
533:
531:
524:
517:
516:
513:
512:
510:
509:
504:
499:
493:
491:
484:
478:
477:
474:
473:
471:
470:
465:
459:
457:
451:
450:
448:
447:
442:
437:
432:
427:
421:
419:
413:
412:
410:
409:
404:
399:
394:
389:
383:
381:
372:
366:
365:
362:
361:
359:
358:
353:
348:
343:
338:
333:
328:
323:
321:Square numbers
318:
312:
310:
304:
303:
301:
300:
295:
290:
285:
280:
275:
270:
265:
260:
254:
252:
243:
237:
236:
231:
229:
228:
221:
214:
206:
198:
197:
176:
175:
173:
170:
122:René Descartes
117:
114:
100:
99:
85:
81:
78:
75:
72:
69:
66:
61:
57:
53:
50:
47:
13:
10:
9:
6:
4:
3:
2:
2588:
2577:
2574:
2572:
2569:
2568:
2566:
2555:
2550:
2548:
2543:
2541:
2536:
2535:
2529:
2527:
2523:
2519:
2514:
2511:
2507:
2502:
2491:
2487:
2483:
2482:
2479:
2469:
2466:
2465:
2462:
2457:
2452:
2448:
2438:
2435:
2433:
2430:
2429:
2426:
2421:
2416:
2412:
2402:
2399:
2397:
2394:
2393:
2390:
2385:
2380:
2376:
2366:
2363:
2361:
2358:
2357:
2354:
2350:
2344:
2340:
2330:
2327:
2325:
2322:
2320:
2317:
2316:
2313:
2309:
2304:
2300:
2286:
2283:
2282:
2280:
2276:
2270:
2267:
2265:
2262:
2260:
2259:Polydivisible
2257:
2255:
2252:
2250:
2247:
2245:
2242:
2240:
2237:
2236:
2234:
2230:
2224:
2221:
2219:
2216:
2214:
2211:
2209:
2206:
2204:
2201:
2200:
2198:
2195:
2190:
2184:
2181:
2179:
2176:
2174:
2171:
2169:
2166:
2164:
2161:
2159:
2156:
2154:
2151:
2150:
2148:
2145:
2141:
2133:
2130:
2129:
2128:
2125:
2124:
2122:
2119:
2115:
2103:
2100:
2099:
2098:
2095:
2093:
2090:
2088:
2085:
2083:
2080:
2078:
2075:
2073:
2070:
2068:
2065:
2063:
2060:
2058:
2055:
2054:
2052:
2048:
2042:
2039:
2038:
2036:
2032:
2026:
2023:
2021:
2018:
2017:
2015:
2013:Digit product
2011:
2005:
2002:
2000:
1997:
1995:
1992:
1990:
1987:
1986:
1984:
1982:
1978:
1970:
1967:
1965:
1962:
1961:
1960:
1957:
1956:
1954:
1952:
1947:
1943:
1939:
1934:
1929:
1925:
1915:
1912:
1910:
1907:
1905:
1902:
1900:
1897:
1895:
1892:
1890:
1887:
1885:
1882:
1880:
1877:
1875:
1872:
1870:
1867:
1865:
1862:
1860:
1857:
1855:
1852:
1850:
1849:Erdős–Nicolas
1847:
1845:
1842:
1840:
1837:
1836:
1833:
1828:
1824:
1818:
1814:
1800:
1797:
1795:
1792:
1791:
1789:
1787:
1783:
1777:
1774:
1772:
1769:
1767:
1764:
1762:
1759:
1758:
1756:
1754:
1750:
1744:
1741:
1739:
1736:
1734:
1731:
1729:
1726:
1724:
1721:
1719:
1716:
1715:
1713:
1711:
1707:
1701:
1698:
1696:
1693:
1692:
1690:
1688:
1684:
1678:
1675:
1673:
1670:
1668:
1667:Superabundant
1665:
1663:
1660:
1658:
1655:
1653:
1650:
1648:
1645:
1643:
1640:
1638:
1635:
1633:
1630:
1628:
1625:
1623:
1620:
1618:
1615:
1613:
1610:
1608:
1605:
1603:
1600:
1598:
1595:
1593:
1590:
1588:
1585:
1583:
1580:
1578:
1575:
1573:
1570:
1569:
1567:
1565:
1561:
1557:
1553:
1549:
1544:
1540:
1530:
1527:
1525:
1522:
1520:
1517:
1515:
1512:
1510:
1507:
1505:
1502:
1500:
1497:
1495:
1492:
1490:
1487:
1485:
1482:
1480:
1477:
1475:
1472:
1471:
1468:
1464:
1459:
1455:
1445:
1442:
1440:
1437:
1435:
1432:
1430:
1427:
1426:
1423:
1419:
1414:
1410:
1400:
1397:
1395:
1392:
1390:
1387:
1385:
1382:
1380:
1377:
1375:
1372:
1370:
1367:
1365:
1362:
1360:
1357:
1355:
1352:
1350:
1347:
1345:
1342:
1340:
1337:
1335:
1332:
1330:
1327:
1325:
1322:
1320:
1317:
1315:
1312:
1310:
1307:
1305:
1302:
1301:
1298:
1291:
1287:
1269:
1266:
1264:
1261:
1259:
1256:
1255:
1253:
1249:
1246:
1244:
1243:4-dimensional
1240:
1230:
1227:
1226:
1224:
1222:
1218:
1212:
1209:
1207:
1204:
1202:
1199:
1197:
1194:
1192:
1189:
1187:
1184:
1183:
1181:
1179:
1175:
1169:
1166:
1164:
1161:
1159:
1156:
1154:
1153:Centered cube
1151:
1149:
1146:
1145:
1143:
1141:
1137:
1134:
1132:
1131:3-dimensional
1128:
1118:
1115:
1113:
1110:
1108:
1105:
1103:
1100:
1098:
1095:
1093:
1090:
1088:
1085:
1083:
1080:
1078:
1075:
1073:
1070:
1069:
1067:
1065:
1061:
1055:
1052:
1050:
1047:
1045:
1042:
1040:
1037:
1035:
1032:
1030:
1027:
1025:
1022:
1020:
1017:
1015:
1012:
1011:
1009:
1007:
1003:
1000:
998:
997:2-dimensional
994:
990:
986:
981:
977:
967:
964:
962:
959:
957:
954:
952:
949:
947:
944:
942:
941:Nonhypotenuse
939:
938:
935:
928:
924:
914:
911:
909:
906:
904:
901:
899:
896:
894:
891:
890:
887:
880:
876:
866:
863:
861:
858:
856:
853:
851:
848:
846:
843:
841:
838:
836:
833:
831:
828:
827:
824:
819:
814:
810:
800:
797:
795:
792:
790:
787:
785:
782:
780:
777:
776:
773:
766:
762:
752:
749:
747:
744:
742:
739:
737:
734:
732:
729:
727:
724:
722:
719:
718:
715:
710:
704:
700:
690:
687:
685:
682:
680:
679:Perfect power
677:
675:
672:
670:
669:Seventh power
667:
665:
662:
660:
657:
655:
652:
650:
647:
645:
642:
640:
637:
635:
632:
630:
627:
625:
622:
621:
618:
613:
608:
604:
600:
592:
587:
585:
580:
578:
573:
572:
569:
553:
550:
548:
545:
543:
540:
538:
535:
534:
532:
528:
525:
523:
518:
508:
505:
503:
500:
498:
495:
494:
492:
488:
485:
483:
482:4-dimensional
479:
469:
466:
464:
461:
460:
458:
456:
452:
446:
443:
441:
438:
436:
433:
431:
428:
426:
423:
422:
420:
418:
414:
408:
405:
403:
400:
398:
395:
393:
390:
388:
385:
384:
382:
380:
376:
373:
371:
370:3-dimensional
367:
357:
354:
352:
349:
347:
344:
342:
339:
337:
334:
332:
329:
327:
324:
322:
319:
317:
314:
313:
311:
309:
305:
299:
296:
294:
291:
289:
286:
284:
281:
279:
276:
274:
271:
269:
266:
264:
261:
259:
256:
255:
253:
251:
247:
244:
242:
241:2-dimensional
238:
234:
227:
222:
220:
215:
213:
208:
207:
204:
193:
192:
187:
181:
178:
171:
169:
167:
164:in 1808, and
163:
159:
155:
151:
147:
143:
139:
135:
131:
127:
123:
115:
113:
111:
106:
83:
76:
73:
70:
67:
64:
59:
55:
51:
45:
35:
34:
33:
31:
27:
23:
19:
2576:Number stubs
2526:expanding it
2515:
2500:
2223:Transposable
2087:Narcissistic
1994:Digital root
1914:Super-Poulet
1874:Jordan–Pólya
1823:prime factor
1728:Noncototient
1695:Almost prime
1677:Superperfect
1652:Refactorable
1647:Quasiperfect
1622:Hyperperfect
1463:Pseudoprimes
1434:Wall–Sun–Sun
1369:Ordered Bell
1339:Fuss–Catalan
1251:non-centered
1205:
1201:Dodecahedral
1178:non-centered
1064:non-centered
966:Wolstenholme
711:× 2 ± 1
708:
707:Of the form
674:Eighth power
654:Fourth power
530:non-centered
490:non-centered
439:
425:Cube numbers
417:non-centered
308:non-centered
298:Star numbers
190:
180:
153:
125:
119:
101:
29:
17:
15:
2244:Extravagant
2239:Equidigital
2194:permutation
2153:Palindromic
2127:Automorphic
2025:Sum-product
2004:Sum-product
1959:Persistence
1854:Erdős–Woods
1776:Untouchable
1657:Semiperfect
1607:Hemiperfect
1268:Tesseractic
1206:Icosahedral
1186:Tetrahedral
1117:Dodecagonal
818:Recursively
689:Prime power
664:Sixth power
659:Fifth power
639:Power of 10
597:Classes of
522:dimensional
26:icosahedron
2565:Categories
2456:Graphemics
2329:Pernicious
2183:Undulating
2158:Pandigital
2132:Trimorphic
1733:Nontotient
1582:Arithmetic
1196:Octahedral
1097:Heptagonal
1087:Pentagonal
1072:Triangular
913:Sierpiński
835:Jacobsthal
634:Power of 3
629:Power of 2
172:References
2213:Parasitic
2062:Factorion
1989:Digit sum
1981:Digit sum
1799:Fortunate
1786:Primorial
1700:Semiprime
1637:Practical
1602:Descartes
1597:Deficient
1587:Betrothed
1429:Wieferich
1258:Pentatope
1221:pyramidal
1112:Decagonal
1107:Nonagonal
1102:Octagonal
1092:Hexagonal
951:Practical
898:Congruent
830:Fibonacci
794:Loeschian
455:pyramidal
168:in 1850.
160:in 1774,
148:and some
65:−
2285:Friedman
2218:Primeval
2163:Repdigit
2120:-related
2067:Kaprekar
2041:Meertens
1964:Additive
1951:dynamics
1859:Friendly
1771:Sociable
1761:Amicable
1572:Abundant
1552:dynamics
1374:Schröder
1364:Narayana
1334:Eulerian
1324:Delannoy
1319:Dedekind
1140:centered
1006:centered
893:Amenable
850:Narayana
840:Leonardo
736:Mersenne
684:Powerful
624:Achilles
379:centered
250:centered
188:(1982),
2458:related
2422:related
2386:related
2384:Sorting
2269:Vampire
2254:Harshad
2196:related
2168:Repunit
2082:Lychrel
2057:Dudeney
1909:Størmer
1904:Sphenic
1889:Regular
1827:divisor
1766:Perfect
1662:Sublime
1632:Perfect
1359:Motzkin
1314:Catalan
855:Padovan
789:Leyland
784:Idoneal
779:Hilbert
751:Woodall
520:Higher
116:History
108:in the
105:A006564
2518:number
2324:Odious
2249:Frugal
2203:Cyclic
2192:Digit-
1899:Smooth
1884:Pronic
1844:Cyclic
1821:Other
1794:Euclid
1444:Wilson
1418:Primes
1077:Square
946:Polite
908:Riesel
903:Knödel
865:Perrin
746:Thabit
731:Fermat
721:Cullen
644:Square
612:Powers
140:, and
28:. The
2520:is a
2365:Prime
2360:Lucky
2349:sieve
2278:Other
2264:Smith
2144:Digit
2102:Happy
2077:Keith
2050:Other
1894:Rough
1864:Giuga
1329:Euler
1191:Cubic
845:Lucas
741:Proth
142:cubes
20:is a
2522:stub
2319:Evil
1999:Self
1949:and
1839:Blum
1550:and
1354:Lobb
1309:Cake
1304:Bell
1054:Star
961:Ulam
860:Pell
649:Cube
110:OEIS
2437:Ban
1825:or
1344:Lah
112:).
16:An
2567::
136:,
2553:e
2546:t
2539:v
2528:.
709:a
590:e
583:t
576:v
225:e
218:t
211:v
98:.
84:2
80:)
77:2
74:+
71:n
68:5
60:2
56:n
52:5
49:(
46:n
30:n
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