43:
and many of its open problems are easily understood even by non-mathematicians. More generally, the field has come to be concerned with a wider class of problems that arise naturally from the study of integers. Number theory may be subdivided into several fields according to the methods used and the
621:
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1117:
782:
52:
1471:
1077:
881:
777:
650:
583:
1025:
1701:
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1055:
849:
814:
762:
660:
357:
84:
1243:
1092:
610:
522:
1696:
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1612:
1451:
1391:
1329:
1238:
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1102:
953:
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685:
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340:
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17:
590:
472:
74:
1684:
1652:
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1540:
1436:
1334:
1297:
1265:
1248:
1221:
948:
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859:
772:
727:
452:
418:
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300:
259:
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1339:
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The following 192 pages are in this category, out of approximately 217 total.
211:
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This category has the following 21 subcategories, out of 29 total.
539:
387:
40:
515:
428:
93:
78:
1768:
86:
44:questions investigated. See for example the
974:Formulas for generating Pythagorean triples
1365:Noncommutative unique factorization domain
1200:An Introduction to the Theory of Numbers
671:Bernoulli polynomials of the second kind
633:This list may not reflect recent changes
1769:
1736:Weyl's inequality (number theory)
959:Proofs of Fermat's little theorem
691:Birch and Swinnerton-Dyer conjecture
188:
13:
1195:Inter-universal TeichmĂĽller theory
642:
587:Unsolved problems in number theory
200:
187:
14:
1793:
1283:Minimal polynomial of 2cos(2pi/n)
628:Pages in category "Number theory"
39:concerned with the properties of
1128:History of the Theory of Numbers
1531:Residue-class-wise affine group
1719:Vorlesungen ĂĽber Zahlentheorie
1583:Short integer solution problem
1360:Non-integer base of numeration
1350:New York Number Theory Seminar
1066:Grothendieck–Teichmüller group
999:List of mathematical functions
907:Elliptic divisibility sequence
1:
1558:Schoof–Elkies–Atkin algorithm
927:Euler's totient function
917:Erdős–Tenenbaum–Ford constant
1288:Mirimanoff's congruence
1143:Hooley's delta function
1088:Haran's diamond theorem
845:Distribution (number theory)
793:Cyclic number (group theory)
626:
46:list of number theory topics
7:
1593:Signed-digit representation
1494:Quadratic irrational number
1477:Prouhet–Thue–Morse constant
1467:Probabilistic number theory
1313:Multiplicative independence
1303:Multiplicative digital root
1016:Gan–Gross–Prasad conjecture
897:Eisenstein–Kronecker number
840:Disquisitiones Arithmeticae
753:Computational number theory
215:Computational number theory
10:
1798:
1041:Glaisher–Kinkelin constant
1036:Generalized taxicab number
1004:List of types of functions
835:Dirichlet series inversion
830:Dirichlet hyperbola method
16:The main article for this
15:
1658:Sylvester's sequence
1638:Squared triangular number
1603:Skew binary number system
1516:Random Fibonacci sequence
1412:P-adic TeichmĂĽller theory
1190:Integer-valued polynomial
1123:Hilbert's inequality
1046:Glossary of number theory
969:Fontaine–Mazur conjecture
676:Bertrand's postulate
256:Diophantine approximation
1648:Strict differentiability
1568:Schwartz–Bruhat function
1375:Number Theory Foundation
1318:Multiplicative partition
1227:Journal of Number Theory
937:Extended natural numbers
932:Eventually (mathematics)
563:Squares in number theory
449:Multiplicative functions
297:Elementary number theory
1563:Schoof's algorithm
1427:Persistence of a number
1308:Multiplicative function
1293:Moessner's theorem
1098:Harmonic divisor number
902:Elkies trinomial curves
55:corresponds roughly to
1675:Tate–Shafarevich group
1618:Solenoid (mathematics)
1205:Irrationality sequence
855:Divisor sum identities
469:Number theory journals
1782:Fields of mathematics
1680:Tate's algorithm
1536:Ring of modular forms
1499:Quadratic reciprocity
1402:P-adic gamma function
1355:Niven's constant
1261:Least common multiple
1148:Hundred Fowls Problem
1133:Hodge–Arakelov theory
1021:Gauss composition law
964:Fifth power (algebra)
798:Cyclotomic polynomial
758:Contou-Carrère symbol
748:Cobham's theorem
738:Change-making problem
733:Champernowne constant
666:Bernoulli polynomials
273:Diophantine equations
1777:Discrete mathematics
1608:Skewes's number
1511:Ramanujan's sum
1442:Prime omega function
1163:Hyperharmonic number
1153:Hurwitz class number
1061:Gregory coefficients
994:Fueter–Pólya theorem
716:BĂĽchi's problem
1753:Znám's problem
1731:Weil–Châtelet group
1633:Square-free integer
1489:Q-Pochhammer symbol
1397:P-adic distribution
1380:Numerical semigroup
1185:Integer square root
1083:Hall–Higman theorem
607:Number theory stubs
317:Geometry of numbers
232:Continued fractions
1457:Primefree sequence
1118:Maria Heep-Altiner
1026:Gauss's diary
783:Cunningham Project
696:Bost–Connes system
415:Modular arithmetic
337:Integer partitions
1472:Prosolvable group
1345:Néron–Tate height
1138:Hodge–Tate module
1078:Half-period ratio
912:Erdős arcsine law
882:Egyptian fraction
778:Cunningham number
651:Barnes G-function
374:Langlands program
354:Integer sequences
35:is the branch of
1789:
1702:Upper half-plane
1521:Redheffer matrix
1056:Granville number
850:Divisor function
815:Deformation ring
763:Coprime integers
661:Bernoulli number
612:
592:
585:
568:
548:
541:
524:
517:
507:
494:
474:
454:
447:
437:
430:
420:
413:
396:
389:
379:
359:
352:
342:
322:
302:
295:
278:
271:
261:
254:
237:
230:
220:
213:
1797:
1796:
1792:
1791:
1790:
1788:
1787:
1786:
1767:
1766:
1765:
1759:
1758:
1757:
1745:
1723:
1706:
1697:Unitary divisor
1689:
1662:
1643:Stoneham number
1613:Sociable number
1545:
1503:
1481:
1452:Prime signature
1392:P-adic analysis
1384:
1330:Natural density
1322:
1275:
1253:
1239:Kaprekar number
1231:
1214:
1210:Iwasawa algebra
1167:
1113:Hecke character
1103:Harmonic number
1070:
1008:
954:Fermat quotient
941:
874:
870:Dyadic rational
802:
743:Character group
720:
686:Binomial number
625:
619:
618:
617:
614:
613:
597:
594:
593:
582:
573:
570:
569:
553:
550:
549:
543:Quadratic forms
538:
529:
526:
525:
514:
509:
508:
502:Perfect numbers
496:
495:
479:
476:
475:
459:
456:
455:
444:
439:
438:
427:
422:
421:
410:
401:
398:
397:
386:
381:
380:
364:
361:
360:
349:
344:
343:
327:
324:
323:
307:
304:
303:
292:
283:
280:
279:
268:
263:
262:
251:
242:
239:
238:
227:
222:
221:
210:
186:
185:
184:
183:
89:
29:Traditionally,
27:
12:
11:
5:
1795:
1785:
1784:
1779:
1764:) (next page)
1756:
1755:
1749:
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1738:
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1721:
1716:
1710:
1707:
1705:
1704:
1699:
1693:
1690:
1688:
1687:
1685:Taxicab number
1682:
1677:
1672:
1666:
1663:
1661:
1660:
1655:
1653:Sums of powers
1650:
1645:
1640:
1635:
1630:
1625:
1620:
1615:
1610:
1605:
1600:
1595:
1590:
1588:Sidon sequence
1585:
1580:
1575:
1570:
1565:
1560:
1555:
1549:
1546:
1544:
1543:
1541:Ruler function
1538:
1533:
1528:
1523:
1518:
1513:
1507:
1504:
1502:
1501:
1496:
1491:
1485:
1482:
1480:
1479:
1474:
1469:
1464:
1459:
1454:
1449:
1444:
1439:
1437:Prime geodesic
1434:
1429:
1424:
1419:
1414:
1409:
1404:
1399:
1394:
1388:
1385:
1383:
1382:
1377:
1372:
1367:
1362:
1357:
1352:
1347:
1342:
1337:
1335:Natural number
1332:
1326:
1323:
1321:
1320:
1315:
1310:
1305:
1300:
1298:Multipartition
1295:
1290:
1285:
1279:
1276:
1274:
1273:
1268:
1266:Local analysis
1263:
1257:
1254:
1252:
1251:
1249:Kubilius model
1246:
1241:
1235:
1232:
1230:
1229:
1224:
1222:Jacobsthal sum
1218:
1215:
1213:
1212:
1207:
1202:
1197:
1192:
1187:
1182:
1177:
1171:
1168:
1166:
1165:
1160:
1155:
1150:
1145:
1140:
1135:
1130:
1125:
1120:
1115:
1110:
1105:
1100:
1095:
1090:
1085:
1080:
1074:
1071:
1069:
1068:
1063:
1058:
1053:
1048:
1043:
1038:
1033:
1028:
1023:
1018:
1012:
1009:
1007:
1006:
1001:
996:
991:
986:
981:
976:
971:
966:
961:
956:
951:
949:Farey sequence
945:
942:
940:
939:
934:
929:
924:
922:Euler function
919:
914:
909:
904:
899:
894:
889:
884:
878:
875:
873:
872:
867:
862:
860:Ducci sequence
857:
852:
847:
842:
837:
832:
827:
822:
817:
812:
806:
803:
801:
800:
795:
790:
785:
780:
775:
773:Cube (algebra)
770:
765:
760:
755:
750:
745:
740:
735:
730:
728:Cabtaxi number
724:
721:
719:
718:
713:
708:
703:
698:
693:
688:
683:
678:
673:
668:
663:
658:
653:
647:
644:
643:
629:
624:) (next page)
616:
615:
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604:
601:
598:
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595:
581:
580:
577:
574:
572:
571:
561:
560:
557:
554:
552:
551:
537:
536:
533:
530:
528:
527:
513:
512:
510:
500:
499:
497:
489:P-adic numbers
487:
486:
483:
480:
478:
477:
467:
466:
463:
460:
458:
457:
443:
442:
440:
426:
425:
423:
409:
408:
405:
402:
400:
399:
391:Lattice points
385:
384:
382:
372:
371:
368:
365:
363:
362:
348:
347:
345:
335:
334:
331:
328:
326:
325:
315:
314:
311:
308:
306:
305:
291:
290:
287:
284:
282:
281:
267:
266:
264:
250:
249:
246:
243:
241:
240:
226:
225:
223:
209:
208:
205:
202:
201:
191:
182:
181:
101:
96:
90:
88:
85:
83:
9:
6:
4:
3:
2:
1794:
1783:
1780:
1778:
1775:
1774:
1772:
1763:
1762:previous page
1754:
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1742:
1739:
1737:
1734:
1732:
1729:
1728:
1725:
1720:
1717:
1715:
1714:Vieta jumping
1712:
1711:
1708:
1703:
1700:
1698:
1695:
1694:
1691:
1686:
1683:
1681:
1678:
1676:
1673:
1671:
1668:
1667:
1664:
1659:
1656:
1654:
1651:
1649:
1646:
1644:
1641:
1639:
1636:
1634:
1631:
1629:
1628:Square number
1626:
1624:
1621:
1619:
1616:
1614:
1611:
1609:
1606:
1604:
1601:
1599:
1596:
1594:
1591:
1589:
1586:
1584:
1581:
1579:
1578:Seventh power
1576:
1574:
1571:
1569:
1566:
1564:
1561:
1559:
1556:
1554:
1553:Schnorr group
1551:
1550:
1547:
1542:
1539:
1537:
1534:
1532:
1529:
1527:
1524:
1522:
1519:
1517:
1514:
1512:
1509:
1508:
1505:
1500:
1497:
1495:
1492:
1490:
1487:
1486:
1483:
1478:
1475:
1473:
1470:
1468:
1465:
1463:
1460:
1458:
1455:
1453:
1450:
1448:
1445:
1443:
1440:
1438:
1435:
1433:
1432:Poussin proof
1430:
1428:
1425:
1423:
1422:Perfect power
1420:
1418:
1415:
1413:
1410:
1408:
1407:P-adic number
1405:
1403:
1400:
1398:
1395:
1393:
1390:
1389:
1386:
1381:
1378:
1376:
1373:
1371:
1370:Normal number
1368:
1366:
1363:
1361:
1358:
1356:
1353:
1351:
1348:
1346:
1343:
1341:
1338:
1336:
1333:
1331:
1328:
1327:
1324:
1319:
1316:
1314:
1311:
1309:
1306:
1304:
1301:
1299:
1296:
1294:
1291:
1289:
1286:
1284:
1281:
1280:
1277:
1272:
1269:
1267:
1264:
1262:
1259:
1258:
1255:
1250:
1247:
1245:
1244:Knödel number
1242:
1240:
1237:
1236:
1233:
1228:
1225:
1223:
1220:
1219:
1216:
1211:
1208:
1206:
1203:
1201:
1198:
1196:
1193:
1191:
1188:
1186:
1183:
1181:
1178:
1176:
1175:Ideal lattice
1173:
1172:
1169:
1164:
1161:
1159:
1156:
1154:
1151:
1149:
1146:
1144:
1141:
1139:
1136:
1134:
1131:
1129:
1126:
1124:
1121:
1119:
1116:
1114:
1111:
1109:
1108:Hecke algebra
1106:
1104:
1101:
1099:
1096:
1094:
1093:GĂĽnter Harder
1091:
1089:
1086:
1084:
1081:
1079:
1076:
1075:
1072:
1067:
1064:
1062:
1059:
1057:
1054:
1052:
1049:
1047:
1044:
1042:
1039:
1037:
1034:
1032:
1029:
1027:
1024:
1022:
1019:
1017:
1014:
1013:
1010:
1005:
1002:
1000:
997:
995:
992:
990:
987:
985:
982:
980:
977:
975:
972:
970:
967:
965:
962:
960:
957:
955:
952:
950:
947:
946:
943:
938:
935:
933:
930:
928:
925:
923:
920:
918:
915:
913:
910:
908:
905:
903:
900:
898:
895:
893:
890:
888:
887:Eichler order
885:
883:
880:
879:
876:
871:
868:
866:
865:Durfee square
863:
861:
858:
856:
853:
851:
848:
846:
843:
841:
838:
836:
833:
831:
828:
826:
823:
821:
818:
816:
813:
811:
808:
807:
804:
799:
796:
794:
791:
789:
788:Cyclic number
786:
784:
781:
779:
776:
774:
771:
769:
766:
764:
761:
759:
756:
754:
751:
749:
746:
744:
741:
739:
736:
734:
731:
729:
726:
725:
722:
717:
714:
712:
711:Brjuno number
709:
707:
704:
702:
701:Brandt matrix
699:
697:
694:
692:
689:
687:
684:
682:
681:Bhargava cube
679:
677:
674:
672:
669:
667:
664:
662:
659:
657:
656:Basel problem
654:
652:
649:
648:
645:
641:) (next page)
640:
639:previous page
636:
634:
627:
623:
622:previous page
608:
603:
602:
599:
588:
584:
579:
578:
575:
564:
559:
558:
555:
544:
540:
535:
534:
531:
520:
519:Prime numbers
516:
511:
503:
498:
490:
485:
484:
481:
470:
465:
464:
461:
450:
446:
441:
433:
432:Modular forms
429:
424:
416:
412:
407:
406:
403:
392:
388:
383:
375:
370:
369:
366:
358:(10 C, 220 P)
355:
351:
346:
338:
333:
332:
329:
318:
313:
312:
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32:number theory
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23:Number theory
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1623:Sparse ruler
1573:Selmer group
1271:Lone divider
1180:Ideal number
1051:Golomb ruler
979:Fourth power
892:Eighth power
825:Digital root
810:Dedekind sum
768:Covering set
630:
591:(1 C, 106 P)
523:(12 C, 60 P)
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1741:Wild number
1598:Sixth power
1447:Prime power
1417:Paley graph
1340:NĂ©ron model
547:(2 C, 61 P)
453:(1 C, 13 P)
436:(3 C, 79 P)
419:(1 C, 62 P)
395:(1 C, 39 P)
301:(1 C, 12 P)
277:(4 C, 64 P)
260:(1 C, 35 P)
236:(1 C, 30 P)
219:(2 C, 17 P)
37:mathematics
1771:Categories
1670:Tate twist
1462:Primon gas
1158:Hydra game
1031:GCD matrix
989:Frobenioid
984:Frey curve
706:Brewer sum
71:MathSciNet
1526:Remainder
820:Digit sum
87:Contents
53:category
41:integers
18:category
611:(120 P)
567:(37 P)
506:(11 P)
493:(18 P)
378:(20 P)
341:(15 P)
321:(12 P)
79:zbMATH
65:; see
473:(6 P)
75:11-XX
73:and
67:11-XX
60:11-XX
51:This
99:0–9
94:Top
77:at
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58:MSC
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