| Author | Year | Method |
|---|---|---|
| 1. Legendre | 1788 | Quadratic forms; incomplete |
| 2. Gauß 1 | 1801 | Induction; April 8, 1796 |
| 3. Gauß 2 | 1801 | Quadratic forms; June 27, 1796 |
| 4. Gauß 3 | 1808 | Gauß's Lemma; May 6, 1807 |
| 5. Gauß 4 | 1811 | Cyclotomy; May 1801 |
| 6. Gauß 5 | 1818 | Gauß's Lemma; 1807/08 |
| 7. Gauß 6 | 1818 | Gauß sums; 1807/08 |
| 8. Cauchy | 1829 | Gauß 6 |
| 9. Jacobi | 1830 | Gauß 6 |
| 10. Dirichlet 1 | 1835 | Gauß 4 |
| 11. Lebesgue 1 | 1838 | N(x12 + ... + xq2 = 1 mod p) |
| 12. Schönemann | 1839 | quadratic period equation |
| 13. Cauchy | 1840 | Gauss 4 |
| 14. Eisenstein 1 | 1844 | generalized Jacobi sums |
| 15. Eisenstein 2 | 1844 | Gauß 6 |
| 16. Eisenstein 3 | 1844 | Gauß's Lemma |
| 17. Eisenstein 4 | 1845 | Sine |
| 18. Eisenstein 5 | 1845 | infinite products |
| 19. Kummer 1 | 1846 | period equation |
| 20. Liouville | 1847 | Cyclotomy |
| 21. Lebesgue 2 | 1847 | Lebesgue 1 |
| 22. Schaar | 1847 | Gauß's Lemma |
| 23. Plana 1 | 1851 | Gauß sums |
| 24. Genocchi 1 | 1852 | Gauß's Lemma |
| 25. Schaar 2 2 | 1854 | Gauß 4 |
| 26. Dirichlet 2 | 1854 | Gauß 1 |
| 27. Genocchi 2 | 1854 | Liouville |
| 28. Schaar 3 3 | 1860 | Gauß 4 |
| 29. Lebesgue 3 | 1860 | Gauß 7, 8 |
| 30. Kummer 2 | 1862 | Quadratic forms |
| 31. Kummer 3 | 1862 | Quadratic forms |
| 32. Dedekind 1 | 1863 | Quadratic forms |
| 33. Gauß 7 | 1863 | quadratic periods; Sept. 1796 |
| 34. Gauß 8 | 1863 | quadratic periods; Sept. 1796 |
| 35. Mathieu | 1867 | Cyclotomy |
| 36. von Staudt | 1867 | Cyclotomy |
| 37. Bouniakowski | 1869 | Gauß's Lemma |
| 38. Stern | 1870 | Gauß's Lemma |
| 39. Zeller | 1872 | Gauß's Lemma |
| 40. Zolotarev | 1872 | Permutations |
| 41. Kronecker 1 | 1872 | Zeller |
| 42. Schering 1 | 1875 | Gauß 3 |
| 43. Kronecker 2 | 1876 | Induction |
| 44. Mansion 1 | 1876 | Gauß's Lemma |
| 45. Dedekind 2 | 1877 | Gauß 6 |
| 46. Dedekind 3 | 1877 | Dedekind Sums |
| 47. Pellet 1 | 1878 | Stickelberger-Voronoi |
| 48. Pépin 1 | 1878 | Cyclotomy |
| 49. Sochocki | 1878 | Theta functions |
| 50. Schering 2 | 1879 | Gauß's Lemma |
| 51. Petersen | 1879 | Gauß's Lemma |
| 52. Genocchi 2 | 1880 | Gauß's Lemma |
| 53. Kronecker 3 | 1880 | Gauß 4 |
| 54. Kronecker 4 | 1880 | quadratic period |
| 55. Voigt | 1881 | Gauß's Lemma |
| 56. Pellet 2 | 1882 | Mathieu 1867 |
| 57. Busche 1 | 1883 | Gauß's Lemma |
| 58. Gegenbauer 1 | 1884 | Gauß's Lemma |
| 59. Kronecker 5 | 1884 | Gauß's Lemma |
| 60. Kronecker 6 | 1885 | Gauß 3 |
| 61. Kronecker 7 | 1885 | Gauß's Lemma |
| 62. Bock | 1886 | Gauß's Lemma |
| 63. Lerch 1 | 1887 | Gauß 3 |
| 64. Busche 2 | 1888 | Gauß's Lemma |
| 65. Hacks | 1889 | Schering |
| 66. Hermes | 1889 | Induction |
| 67. Kronecker 8 | 1889 | Gauß's Lemma |
| 68. Tafelmacher 1 | 1889 | Stern |
| 69. Tafelmacher 2 | 1889 | Stern/Schering |
| 70. Tafelmacher 3 | 1889 | Schering |
| 71. Busche 3 | 1890 | Gauß's Lemma |
| 72. Franklin | 1890 | Gauß's Lemma |
| 73. Lucas | 1890 | Gauß's Lemma |
| 74. Pépin 2 | 1890 | Gauß 2 |
| 75. Fields | 1891 | Gauß's Lemma |
| 76. Gegenbauer 2 | 1891 | Gauß's Lemma |
| 77. Gegenbauer 3 | 1893 | Gauß's Lemma |
| 78. Schmidt 1 | 1893 | Gauß's Lemma |
| 79. Schmidt 2 | 1893 | Gauß's Lemma |
| 80. Schmidt 3 | 1893 | Induction |
| 81. Heinitz | 1893 | Gauß's Lemma |
| 82. Gegenbauer 4 | 1894 | Gauß's Lemma |
| 83. Bang | 1894 | Induction |
| 84. Mertens 1 | 1894 | Gauß's Lemma |
| 85. Mertens 2 | 1894 | Gauß sums |
| 86. Busche 4 | 1896 | Gauss's Lemma |
| 87. Lange 1 | 1896 | Gauß's Lemma |
| 88. Mansion 2 | 1896 | Gauss 2 |
| 89. de la Vallée Poussin | 1896 | Gauß 2 |
| 90. Lange 2 | 1897 | Gauß's Lemma |
| 91. Hilbert | 1897 | Cyclotomy |
| 92. Alexejewsky | 1898 | Schering |
| 93. Pépin 3 | 1898 | Legendre |
| 94. Pépin 4 | 1898 | Gauß 5 |
| 95. König | 1899 | Gauß 1; incorrect |
| 96. Fischer | 1900 | Resultants |
| 97. Takagi | 1903 | Zeller |
| 98. Lerch 2 | 1903 | Gauß 5 |
| 99. Mertens 3 | 1904 | Eisenstein 4 |
| 100. Mirimanoff & Hensel | 1905 | Stickelberger-Voronoi |
| 101. Cornacchia 5 | 1909 | |
| 102. Busche 5 | 1909 | Zeller |
| 103. Busche 6 | 1909 | Eisenstein |
| 104. Aubry | 1910 | = Eisenstein 3 |
| 105. Aubry | 1910 | = Voigt |
| 106. Aubry | 1910 | = Kronecker |
| 107. Pépin 5 | 1911 | Gauss 2 |
| 109. Petr 1 | 1911 | Mertens 3 |
| 109. Pocklington | 1911 | Gauß 3 |
| 110. Dedekind 3 | 1912 | Zeller |
| 111. Heawood | 1913 | Geometric |
| 112. Frobenius 1 | 1914 | Zeller |
| 113. Frobenius 2 | 1914 | Geometric (Eisenstein) |
| 114. Lasker | 1916 | Stickelberger-Voronoi |
| 115. Cerone | 1917 | Eisenstein 4 |
| 116. Bartelds & Schuh | 1918 | Gauß's Lemma |
| 117. Stieltjes | 1918 | Lattice points |
| 118. Teege 1 | 1920 | Legendre |
| 119. Teege 2 | 1921 | Cyclotomy |
| 120. Arwin | 1924 | Quadratic forms |
| 121. Rédei 1 | 1925 | Gauß's Lemma |
| 122. Rédei 2 | 1926 | Gauß's Lemma |
| 123. Whitehead | 1927 | Genus theory (Kummer) |
| 124. Petr 2 | 1927 | theta functions |
| 125. Skolem 1 | 1928 | Genus theory |
| 126. Petr 3 | 1934 | Kronecker (signs) |
| 127. van Veen | 1934 | Geometric (Eisenstein) |
| 128. Fueter | 1935 | quaternion algebras |
| 129. Whiteman | 1935 | Gauß's Lemma |
| 130. Dockeray | 1938 | Eisenstein 3 |
| 131. Scholz | 1938 | Gauss 3 |
| 132. Kapferer | 1939 | Liouville |
| 133. Dörge | 1942 | Gauß's Lemma |
| 134. Rédei 3 | 1944 | Gauß 5 |
| 135. Lewy | 1946 | Cyclotomy |
| 136. Petr 4 | 1946 | Cyclotomy |
| 137. Skolem 2 | 1948 | Gauß 2 |
| 138. Barbilian | 1950 | Eisenstein 1 |
| 139. J. Delsarte | 1950 | Vandermonde determinants |
| 140. Rédei 4 | 1951 | Gauß 3 |
| 141. Brandt 1 | 1951 | Gauß 2 |
| 142. Brandt 2 | 1951 | Gauß sums |
| 143. Brewer | 1951 | Mathieu, Pellet |
| 144. Furquim de Almeida | 1951 | Finite fields |
| 145. Zassenhaus | 1952 | Finite fields |
| 146. Riesz | 1953 | Permutations |
| 147. Fröhlich | 1954 | Class Field Theory |
| 148. Ankeny | 1955 | Cyclotomy |
| 149. D.H. Lehmer | 1957 | Gauß's Lemma |
| 150. C. Meyer | 1957 | Dedekind sums |
| 151. Holzer | 1958 | Gauß sums |
| 152. Rédei 5 | 1958 | Cyclotomic polynomial |
| 153. Reichardt | 1958 | Gauß 3 |
| 154. Carlitz | 1960 | Gauß 1 |
| 155. Kubota 1 | 1961 | Cyclotomy |
| 156. Kubota 2 | 1961 | Gauß sums (sign) |
| 157. Skolem 3 | 1961 | Cyclotomy |
| 158. Skolem 4 | 1961 | finite fields |
| 159. Hausner | 1961 | Gauß sums |
| 160. Swan 1 | 1962 | Stickelberger-Voronoi |
| 161. Gerstenhaber | 1963 | Eisenstein, sine |
| 162. Koschmieder | 1963 | Eisenstein, sine |
| 163. Rademacher | 1964 | Finite Fourier analysis |
| 164. Weil | 1964 | Theta functions |
| 165. Kloosterman | 1965 | Holzer |
| 166. Chowla | 1966 | Finite fields |
| 167. Burde | 1967 | Gauß's Lemma |
| 168. Kaplan 1 | 1969 | Eisenstein |
| 169. Kaplan 2 | 1969 | quadratic congruences |
| 170. Birch | 1971 | K-groups (Tate) |
| 171. Reshetukha | 1971 | Gauß sums |
| 172. Agou | 1972 | finite fields |
| 173. Brenner | 1973 | Zolotarev |
| 174. Honda | 1973 | Gauß sums |
| 175. Milnor & Husemöller | 1973 | Weil 1964 |
| 176. Zagier | 1973 | Dedekind sums |
| 177. Allander | 1974 | Gauß's Lemma |
| 178. Berndt & Evans | 1974 | Gauß's Lemma |
| 179. Hirzebruch & Zagier | 1974 | Dedekind Sums |
| 180. Rogers | 1974 | Legendre |
| 181. Castaldo | 1976 | Gauß's Lemma |
| 182. Springer | 1976 | Gauss sums |
| 183. Frame | 1978 | Kronecker (signs) |
| 184. Hurrelbrink | 1978 | K-theory |
| 185. Auslander & Tolimieri | 1979 | Fourier transform |
| 186. Corro | 1980 | Gauß sums |
| 187. Brown | 1981 | Gauß 1 |
| 188. Goldschmidt | 1981 | cyclotomy |
| 189. Kac | 1981 | Eisenstein, sine |
| 190. Barcanescu | 1981 | Zolotarev |
| 191. Zantema | 1983 | Brauer groups |
| 192. Ely | 1984 | Lebesgue 1 |
| 193. Eichler | 1985 | Theta function |
| 194. Barrucand & Laubie | 1987 | Stickelberger-Voronoi |
| 195. Peklar | 1989 | Gauß's Lemma |
| 196. Barnes | 1990 | Zolotarev |
| 197. Swan 2 | 1990 | Cyclotomy |
| 198. Rousseau 1 | 1990 | Exterior algebras |
| 199. Rousseau 2 | 1991 | Permutations |
| 200. Keune | 1991 | Finite fields |
| 201. Kubota 3 | 1992 | geometry |
| 202. Russinoff | 1992 | Gauß's Lemma |
| 203. Garrett | 1992 | Weil 1964 |
| 204. Motose | 1993 | group algebras |
| 205. Rousseau 3 | 1994 | Zolotarev |
| 206. Young | 1995 | Gauß sums |
| 207. Brylinski | 1997 | group actions |
| 208. Merindol | 1997 | Eisenstein, sine |
| 209. Watanabe | 1997 | Zolotarev |
| 210. Ishii | 1998 | Gauß 4 |
| 211. Motose | 1999 | group algebras |
| 212. Zahidi | 2000 | Stickelberger-Voronoi |
| 213. Lemmermeyer | 2000 | Lebesgue 1, Ely |
| 214. Meyer | 2000 | Dedekind sums |
| 215. Tangedal | 2000 | Eisenstein, geometric |
| 216. Chapman | 2001 | recurring sequences |
| 217. Hammick | 2001 | Rousseau 2 |
| 218. Girstmair | 2001 | Eichler |
| 219. Murty | 2001 | Schur |
| 220. Luo | 2003 | Rousseau |
| 221. Motose 2 | 2003 | Schur |
| 222. Motose 3 | 2003 | Schur |
| 223. Sey Yoon Kim | 2004 | Rousseau 2 |
| 224. Sun | 2004 | Gauß' Lemma |
| 225. Duke & Spears | 2005 | groups |
| 226. Murty & Pacelli | 2005 | theta functions |
| 227. Szyjewski | 2005 | Zolotarev |
| 228. Arkhipova | 2006 | Gauss 4 |
| 229. Castryck | 2007 | Zolotarev |
| 230. Verdure | 2008 | elliptic curves |
| 231. Gurevich, Hadani, Howe | 2008 | Schur, Weil |
| 232. Jakimczuk | 2009 | Lebesgue 1 |
| 233. Steiner | 2009 | Rousseau 2 |
| 234. Steiner | 2009 | Rousseau 2 |
| 235. Hambleton & Scharaschkin | 2010 | resultants (Swan 2) |
| 236. Jerabek | 2010 | Gauss 3 |
| 237. Brunyate & Clark | 2010 | Zolotarev |
| 238. Szyjewski 2 | 2012 | Zolotarev |
| 239. Dicker | 2012 | determinants |
| 240. Hambleton & Scharaschkin | 2012 | Pell conics |
| 241. Karlsson | 2012 | Gauss sums |
| 242. Zver | 2012 | Dedekind sums |
| 243. Baker & Shurman | 2012 | Zolotarev |
| 244. Demchenko & Gurevich | 2013 | formal groups |
| 245. Caldero & Germoni | 2010 | Lebesgue 1 |
| 246. Burda & Kadets | 2013 | quadratic periods |
| 247. Czogala & Koprowski | 2017 | group theory |