# Number theory: Trending topics

The following are the current most viewed articles on Wikipedia within Wikipedia's Number theory category. Think of it as a What's Hot list for Number theory. More info »

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Rank Topic Wikipedia views
1 Euclid 4,220
2 Natural number 4,197
3 Factorial 3,675
4 Fermat's Last Theorem 3,327
5 Number theory 2,459
6 Euler's totient function 1,003
7 Coprime 964
8 Collatz conjecture 934
9 Square (algebra) 804
10 Fundamental theorem of arithmetic 661
11 Partition (number theory) 600
12 Cube (algebra) 574
13 Remainder 563
14 Bernoulli number 556
15 List of mathematical functions 453
16 Algebraic number 439
18 Amicable number 407
19 Birch and Swinnerton-Dyer conjecture 382
20 Wiles' proof of Fermat's Last Theorem 361
21 Fermat number 322
22 Divisor function 298
23 Basel problem 281
24 Harmonic number 280
26 Egyptian fraction 237
27 Skewes' number 225
28 Langlands program 223
29 Abc conjecture 198
30 Analytic number theory 189
31 Normal number 188
32 Unique factorization domain 180
33 Taxicab number 179
34 Digital root 172
35 Integer square root 157
36 Euclid's lemma 149
37 Champernowne constant 144
38 Disquisitiones Arithmeticae 132
39 Beal's conjecture 124
40 Linear congruence theorem 122
41 Coin problem 120
42 Primon gas 118
43 Bertrand's postulate 116
44 Farey sequence 116
45 Square-free integer 113
46 Proofs of Fermat's little theorem 111
47 Diophantine approximation 109
48 Automorphic form 105
49 Lychrel number 103
50 Cyclic number 103
51 List of number theory topics 101
52 Lindemann–Weierstrass theorem 97
53 Golomb ruler 96
54 Natural density 95
55 Formulas for generating Pythagorean triples 93
56 Ramanujan's sum 92
57 Weil conjectures 89
58 Digit sum 82
59 Composition (number theory) 80
60 Euler's rule 77
61 Bernoulli polynomials 76
62 Cyclotomic polynomial 74
63 Fourth power 72
64 Catalan's conjecture 70
65 Supernatural numbers 69
66 Friendly number 68
67 Euler's sum of powers conjecture 66
68 Computational number theory 66
69 Ducci sequence 66
70 Zeckendorf's theorem 64
72 Upper half-plane 61
73 Sierpinski number 59
75 Congruent number 59
76 Euler product 58
77 Perfect power 58
78 Q-analog 55
79 Change-making problem 52
80 Harmonic divisor number 51
81 Ribet's theorem 51
82 Lagrange's theorem (number theory) 50
83 Ideal number 49
84 Schanuel's conjecture 47
85 Stern–Brocot tree 47
87 Pairwise coprime 45
88 Persistence of a number 43
89 Schoof's algorithm 43
90 Arithmetic derivative 42
91 Proof of Fermat's Last Theorem for specific exponents 42
92 Bonse's inequality 41
93 Faltings' theorem 40
94 Radical of an integer 40
95 Lucas' theorem 39
96 Mertens conjecture 38
97 Generalized taxicab number 37
98 Greedy algorithm for Egyptian fractions 37
99 Vieta jumping 37
100 Hilbert's irreducibility theorem 36
101 Euler function 36
102 Sylvester's sequence 36
103 Proth number 36
104 Squared triangular number 36
105 Möbius transform 34
106 Erdős–Kac theorem 32
107 Ostrowski's theorem 31
108 ABC@Home 31
109 Hasse–Minkowski theorem 30
110 Arithmetic topology 30
111 Pentagonal number theorem 29
112 Tau-function 29
113 Auxiliary function 29
114 Local analysis 28
115 Character group 28
116 Singmaster's conjecture 28
117 NFS@Home 28
118 Jacobi triple product 27
119 Q-Pochhammer symbol 27
120 NFSNet 26
121 Paley graph 26
122 Dedekind sum 25
123 Hecke character 25
124 Barnes G-function 24
125 Postage stamp problem 24
126 Lonely runner conjecture 24
127 Sociable number 23
128 Znám's problem 23
129 Prouhet–Thue–Morse constant 22
130 Lehmer's conjecture 21
131 Quartic reciprocity 21
132 Weil–Châtelet group 20
133 Probabilistic number theory 20
134 E-function 19
135 Goormaghtigh conjecture 19
136 Multiplicative partition 19
137 Hasse's theorem on elliptic curves 18
138 Elkies trinomial curves 18
139 Zsigmondy's theorem 18
140 Erdős–Graham problem 18
141 Legendre relation 18
143 Cabtaxi number 17
144 Covering system 17
145 Abouabdillah's theorem 17
146 Jacobi's four-square theorem 17
147 Tijdeman's theorem 17
149 Unitary divisor 17
150 Diophantus II.VIII 17
151 Order (number theory) 17
152 Prime geodesic 16
153 Mirimanoff's congruence 16
154 Néron model 16
155 Linear forms in logarithms 15
156 Størmer's theorem 15
157 Brocard's problem 15
158 Knödel number 15
159 Vorlesungen über Zahlentheorie 14
160 Cunningham project 14
161 Ramanujan's congruences 14
162 Morton number (number theory) 14
163 Random Fibonacci sequence 13
164 Prime signature 13
165 Quote notation 13
166 Ax–Kochen theorem 13
167 Poussin proof 13
168 Journal of Number Theory 13
169 Abel's summation formula 13
170 Semistable abelian variety 12
171 Abelian variety of CM-type 12
172 Covering set 12
173 Primefree sequence 12
174 Zolotarev's lemma 12
175 Niven's constant 12
176 Overconvergent modular form 12
177 Q-Vandermonde identity 12
178 Fermat–Catalan conjecture 12
179 Theta function of a lattice 12
180 Perfect digit-to-digit invariant 12
181 Eta function 11
182 Integer-valued polynomial 11
183 Chowla–Selberg formula 11
184 Grothendieck–Katz p-curvature conjecture 11
185 Marshall Hall's conjecture 11
186 Prosolvable group 11
187 Schnorr group 10
188 De Polignac's formula 10
189 Fermat quotient 10
190 Schoof–Elkies–Atkin algorithm 10
191 Strict differentiability 10
192 Schwartz–Bruhat function 10
194 Stoneham number 9
195 Elliptic divisibility sequence 9
196 Sophie Germain's theorem 9
197 Feit–Thompson conjecture 9
198 Beaver bit-vector decision procedure 9
199 Jordan's totient function 9
200 Arithmetic variety 9
201 Amenable number 8
202 Tate twist 8
203 Tunnell's theorem 8
204 Artin–Hasse exponential 8
205 Sidon sequence 8
206 Aurifeuillian factorization 8
207 Eisenstein's theorem 7
208 Thâbit ibn Kurrah rule 7
209 Residue class-wise affine group 7
210 Néron–Tate height 7
211 Tate's algorithm 7
212 Glaisher–Kinkelin constant 6
213 Proof of weak Scholz conjecture 6
214 Height of a polynomial 6
215 Prouhet–Tarry–Escott problem 6
216 Timeline of number theory 6
217 Büchi's Problem 6
218 Von Staudt–Clausen theorem less than 5 views
219 Holonomic constant less than 5 views
220 Szpiro's conjecture less than 5 views
221 Landsberg–Schaar relation less than 5 views
222 Sparse ruler less than 5 views
223 Sum-free sequence less than 5 views
224 Mathematical functions less than 5 views
225 Number theory topics less than 5 views
226 Turán–Kubilius inequality less than 5 views
227 Wiener–Ikehara theorem less than 5 views
228 Smarandache function less than 5 views
229 Multiplicative digital root less than 5 views
230 Number Theory Foundation less than 5 views
231 Cunningham number less than 5 views
232 Types of functions less than 5 views
233 Erdős–Fuchs theorem less than 5 views
234 Krasner's lemma less than 5 views
235 Haran's diamond theorem less than 5 views
236 Recreational number theory topics less than 5 views

# Encyclopedia

The main article for this category is Number theory.

Traditionally, number theory is the branch of mathematics concerned with the properties of integers 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 questions investigated. See for example the list of number theory topics.

This category corresponds roughly to MSC 11 Number Theory in the American Mathematical Society's Mathematics Subject Classification.

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## Subcategories

This category has the following 19 subcategories, out of 20 total.

## Pages in category "Number theory"

The following 181 pages are in this category, out of 236 total. This list may not reflect recent changes (learn more).

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# Study guide

Up to date as of January 14, 2010

## Pages in category "Number theory"

The following 3 pages are in this category, out of 3 total.

# Wiktionary

Up to date as of January 15, 2010

### Definition from Wiktionary, a free dictionary

Wikipedia has a category on:

Wikipedia

Terms and senses of terms relating to number theory.

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Entries in category “Number theory”

The following 20 pages are in this category, out of 20 total.