f = 2004 = 2^2 * 3 * 167 : \chi = \chi_{4} * \chi_{3} * \chi_{167}^{83} f(\chi) = 2004 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 2005 = 5 * 401 : \chi = \chi_{5} * \chi_{401}^{200} f(\chi) = 2005 ord(\chi) = 4 N(-B_{1,\chi}/2) = 40 = 2^3 * 5 ----- ----- f = 2007 = 3^2 * 223 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{223}^{111} f(\chi) = 2007 ord(\chi) = 6 N(-B_{1,\chi}/2) = 49 = 7^2 ----- ----- f = 2008 = 2^3 * 251 : \chi = \psi_{8} * \chi_{251}^{125} f(\chi) = 2008 ord(\chi) = 2 N(-B_{1,\chi}/2) = 7 = p(1) ----- ----- f = 2013 = 3 * 11 * 61 : \chi = \chi_{3} * \chi_{11}^2 * \chi_{61}^{30} f(\chi) = 2013 ord(\chi) = 10 N(-B_{1,\chi}/2) = 1705 = 5 * 11 * 31 ----- ----- f = 2015 = 5 * 13 * 31 : \chi = \chi_{5}^{2} * \chi_{13}^{6} * \chi_{31}^{15} f(\chi) = 2015 ord(\chi) = 2 N(-B_{1,\chi}/2) = 26 = 2 * 13 ----- ----- f = 2019 = 3 * 673 : \chi = \chi_{3} * \chi_{673}^{336} f(\chi) = 2019 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 2020 = 2^2 * 5 * 101 : \chi = \chi_{4} * \chi_{5}^{2} * \chi_{101}^{50} f(\chi) = 2020 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 2024 = 2^3 * 11 * 23 : \chi = \chi_{4} * \psi_{8} * \chi_{11}^{5} * \chi_{23}^{11} f(\chi) = 2024 ord(\chi) = 2 N(-B_{1,\chi}/2) = 14 = 2 * 7 ----- \chi = \psi_{8} * \chi_{11}^2 * \chi_{23}^{11} f(\chi) = 2024 ord(\chi) = 10 N(-B_{1,\chi}/2) = 3280 = 2^4 * 5 * 41 ----- ----- f = 2031 = 3 * 677 : \chi = \chi_{3} * \chi_{677}^{338} f(\chi) = 2031 ord(\chi) = 2 N(-B_{1,\chi}/2) = 19 = p(2) ----- ----- f = 2032 = 2^4 * 127 : \chi = \psi_{16} * \chi_{127}^{63} f(\chi) = 2032 ord(\chi) = 4 N(-B_{1,\chi}/2) = 80 = 2^4 * 5 ----- ----- f = 2035 = 5 * 11 * 37 : \chi = \chi_{5}^{2} * \chi_{11}^{5} * \chi_{37}^{18} f(\chi) = 2035 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 2036 = 2^2 * 509 : \chi = \chi_{4} * \chi_{509}^{254} f(\chi) = 2036 ord(\chi) = 2 N(-B_{1,\chi}/2) = 15 = 3 * 5 ----- ----- f = 2037 = 3 * 7 * 97 : \chi = \chi_{3} * \chi_{7}^2 * \chi_{97}^{48} f(\chi) = 2037 ord(\chi) = 6 N(-B_{1,\chi}/2) = 52 = 2^2 * 13 ----- ----- f = 2040 = 2^3 * 3 * 5 * 17 : \chi = \psi_{8} * \chi_{3} * \chi_{5}^{2} * \chi_{17}^{8} f(\chi) = 2040 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- \chi = \chi_{4} * \psi_{8} * \chi_{3} * \chi_{5} * \chi_{17}^{8} f(\chi) = 2040 ord(\chi) = 4 N(-B_{1,\chi}/2) = 68 = 2^2 * 17 ----- ----- f = 2041 = 13 * 157 : \chi = \chi_{13}^3 * \chi_{157}^{78} f(\chi) = 2041 ord(\chi) = 4 N(-B_{1,\chi}/2) = 68 = 2^2 * 17 ----- \chi = \chi_{13} * \chi_{157}^{78} f(\chi) = 2041 ord(\chi) = 12 N(-B_{1,\chi}/2) = 1552 = 2^4 * 97 ----- ----- f = 2043 = 3^2 * 227 : \chi = \chi_{3}^2 * \psi_{9} * \chi_{227}^{113} f(\chi) = 2043 ord(\chi) = 6 N(-B_{1,\chi}/2) = 63 = 3^2 * 7 ----- ----- f = 2044 = 2^2 * 7 * 73 : \chi = \chi_{4} * \chi_{7}^2 * \chi_{73}^{36} f(\chi) = 2044 ord(\chi) = 6 N(-B_{1,\chi}/2) = 63 = 3^2 * 7 ----- ----- f = 2045 = 5 * 409 : \chi = \chi_{5} * \chi_{409}^{204} f(\chi) = 2045 ord(\chi) = 4 N(-B_{1,\chi}/2) = 34 = 2 * 17 ----- ----- f = 2047 = 23 * 89 : \chi = \chi_{23}^{11} * \chi_{89}^{44} f(\chi) = 2047 ord(\chi) = 2 N(-B_{1,\chi}/2) = 9 = 3^2 ----- ----- f = 2051 = 7 * 293 : \chi = \chi_{7}^{3} * \chi_{293}^{146} f(\chi) = 2051 ord(\chi) = 2 N(-B_{1,\chi}/2) = 9 = 3^2 ----- \chi = \chi_{7} * \chi_{293}^{146} f(\chi) = 2051 ord(\chi) = 6 N(-B_{1,\chi}/2) = 48 = 2^4 * 3 ----- ----- f = 2055 = 3 * 5 * 137 : \chi = \chi_{3} * \chi_{5}^{2} * \chi_{137}^{68} f(\chi) = 2055 ord(\chi) = 2 N(-B_{1,\chi}/2) = 14 = 2 * 7 ----- ----- f = 2056 = 2^3 * 257 : \chi = \chi_{4} * \psi_{8} * \chi_{257}^{128} f(\chi) = 2056 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 2059 = 29 * 71 : \chi = \chi_{29}^{14} * \chi_{71}^{35} f(\chi) = 2059 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 2060 = 2^2 * 5 * 103 : \chi = \chi_{4} * \chi_{5} * \chi_{103}^{51} f(\chi) = 2060 ord(\chi) = 4 N(-B_{1,\chi}/2) = 74 = 2 * 37 ----- ----- f = 2061 = 3^2 * 229 : \chi = \chi_{3} * \psi_{9} * \chi_{229}^{114} f(\chi) = 2061 ord(\chi) = 6 N(-B_{1,\chi}/2) = 39 = 3 * 13 ----- ----- f = 2064 = 2^4 * 3 * 43 : \chi = \chi_{4} * \psi_{16} * \chi_{3} * \chi_{43}^{21} f(\chi) = 2064 ord(\chi) = 4 N(-B_{1,\chi}/2) = 34 = 2 * 17 ----- ----- f = 2065 = 5 * 7 * 59 : \chi = \chi_{5} * \chi_{7}^{3} * \chi_{59}^{29} f(\chi) = 2065 ord(\chi) = 4 N(-B_{1,\chi}/2) = 32 = 2^5 ----- \chi = \chi_{5}^{2} * \chi_{7}^2 * \chi_{59}^{29} f(\chi) = 2065 ord(\chi) = 6 N(-B_{1,\chi}/2) = 61 = p(2) ----- ----- f = 2067 = 3 * 13 * 53 : \chi = \chi_{3} * \chi_{13}^{6} * \chi_{53}^{26} f(\chi) = 2067 ord(\chi) = 2 N(-B_{1,\chi}/2) = 4 = 2^2 ----- ----- f = 2068 = 2^2 * 11 * 47 : \chi = \chi_{4} * \chi_{11}^{5} * \chi_{47}^{23} f(\chi) = 2068 ord(\chi) = 2 N(-B_{1,\chi}/2) = 6 = 2 * 3 ----- ----- f = 2071 = 19 * 109 : \chi = \chi_{19}^{9} * \chi_{109}^{54} f(\chi) = 2071 ord(\chi) = 2 N(-B_{1,\chi}/2) = 15 = 3 * 5 ----- ----- f = 2072 = 2^3 * 7 * 37 : \chi = \psi_{8} * \chi_{7}^{3} * \chi_{37}^{18} f(\chi) = 2072 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- \chi = \chi_{4} * \psi_{8} * \chi_{7}^2 * \chi_{37}^{18} f(\chi) = 2072 ord(\chi) = 6 N(-B_{1,\chi}/2) = 37 = p(2) ----- \chi = \psi_{8} * \chi_{7} * \chi_{37}^{18} f(\chi) = 2072 ord(\chi) = 6 N(-B_{1,\chi}/2) = 49 = 7^2 ----- ----- f = 2084 = 2^2 * 521 : \chi = \chi_{4} * \chi_{521}^{260} f(\chi) = 2084 ord(\chi) = 2 N(-B_{1,\chi}/2) = 16 = 2^4 ----- ----- f = 2085 = 3 * 5 * 139 : \chi = \chi_{3} * \chi_{5} * \chi_{139}^{69} f(\chi) = 2085 ord(\chi) = 4 N(-B_{1,\chi}/2) = 36 = 2^2 * 3^2 ----- ----- f = 2088 = 2^3 * 3^2 * 29 : \chi = \chi_{4} * \psi_{8} * \chi_{3}^2 * \psi_{9} * \chi_{29}^{14} f(\chi) = 2088 ord(\chi) = 6 N(-B_{1,\chi}/2) = 61 = p(2) ----- \chi = \psi_{8} * \chi_{3} * \psi_{9} * \chi_{29}^{14} f(\chi) = 2088 ord(\chi) = 6 N(-B_{1,\chi}/2) = 57 = 3 * 19 ----- ----- f = 2091 = 3 * 17 * 41 : \chi = \chi_{3} * \chi_{17}^{8} * \chi_{41}^{20} f(\chi) = 2091 ord(\chi) = 2 N(-B_{1,\chi}/2) = 6 = 2 * 3 ----- ----- f = 2093 = 7 * 13 * 23 : \chi = \chi_{7}^{3} * \chi_{13}^3 * \chi_{23}^{11} f(\chi) = 2093 ord(\chi) = 4 N(-B_{1,\chi}/2) = 20 = 2^2 * 5 ----- f = 2093 = 7 * 13 * 23 : \chi = \chi_{7}^2 * \chi_{13}^{6} * \chi_{23}^{11} f(\chi) = 2093 ord(\chi) = 6 N(-B_{1,\chi}/2) = 36 = 2^2 * 3^2 ----- \chi = \chi_{7}^{3} * \chi_{13} * \chi_{23}^{11} f(\chi) = 2093 ord(\chi) = 12 N(-B_{1,\chi}/2) = 4789 = p(2) ----- ----- f = 2095 = 5 * 419 : \chi = \chi_{5}^{2} * \chi_{419}^{209} f(\chi) = 2095 ord(\chi) = 2 N(-B_{1,\chi}/2) = 8 = 2^3 ----- ----- f = 2096 = 2^4 * 131 : \chi = \psi_{16} * \chi_{131}^{65} f(\chi) = 2096 ord(\chi) = 4 N(-B_{1,\chi}/2) = 29 = p(2) ----- ----- f = 2097 = 3^2 * 233 : \chi = \chi_{3} * \psi_{9} * \chi_{233}^{116} f(\chi) = 2097 ord(\chi) = 6 N(-B_{1,\chi}/2) = 52 = 2^2 * 13 ----- -----