Quadratic form · 430 sequences
The sequences of the family “quadratic form”, by A-number, with the share of their decomposable terms in the level class (k > L).
- primes · 1717
- polynomial · 1232
- quadratic form · 430
- prime values · 423
- residue class · 357
- digit rule · 306
- multiplicative · 199
- Beatty · 86
- divisor functions · 58
- binary rule · 48
- self-referential · 35
- complement · 23
- powers · 22
- summatory · 21
- arithmetic progression · 10
- smooth · 10
- forced divisor · 9
- sieve · 8
- block · 5
- base case · 1
| A-number | Name | Level |
|---|---|---|
| A000378 | Sums of three squares: numbers of the form x^2 + y^2 + z^2 | 8.5 % |
| A000401 | Numbers of form x^2 + y^2 + 2*z^2 | 10.4 % |
| A000404 | Numbers that are the sum of 2 nonzero squares | 16.0 % |
| A000408 | Numbers that are the sum of three nonzero squares | 8.6 % |
| A000419 | Numbers that are the sum of 3 but no fewer nonzero squares | 12.6 % |
| A001974 | Numbers that are the sum of 3 distinct squares, i.e., numbers of the form x^2 + y^2 + z^2 with 0 <= x < y < z | 8.6 % |
| A001983 | Numbers that are the sum of 2 distinct squares: of form x^2 + y^2 with 0 <= x < y | 16.0 % |
| A002479 | Numbers of the form x^2 + 2*y^2 | 14.9 % |
| A002480 | Numbers of the form 2x^2 + 3y^2 | 22.3 % |
| A002481 | Numbers of form x^2 + 6y^2 | 22.8 % |
| A003072 | Numbers that are the sum of 3 positive cubes | 22.0 % |
| A003136 | Loeschian numbers: numbers of the form x^2 + xy + y^2; norms of vectors in A2 lattice | 24.2 % |
| A003325 | Numbers that are the sum of 2 positive cubes | 50.1 % |
| A003814 | Numbers k such that the continued fraction for sqrt(k) has odd period length | 19.1 % |
| A004214 | Positive numbers that are not the sum of three nonzero squares | 23.7 % |
| A004215 | Numbers that are the sum of 4 but no fewer nonzero squares | 23.7 % |
| A004431 | Numbers that are the sum of 2 distinct nonzero squares | 16.0 % |
| A004432 | Numbers that are the sum of 3 distinct nonzero squares | 8.6 % |
| A004433 | Numbers that are the sum of 4 distinct nonzero squares: of form w^2+x^2+y^2+z^2 with 0<w<x<y<z | 9.6 % |
| A004999 | Sums of two nonnegative cubes | 49.9 % |
| A007692 | Numbers that are the sum of 2 nonzero squares in 2 or more ways | 20.0 % |
| A008917 | Numbers that are the sum of 3 positive cubes in more than one way | 34.5 % |
| A009112 | Areas of Pythagorean triangles: numbers which can be the area of a right triangle with integer sides | 48.3 % |
| A009177 | Numbers that are the hypotenuses of more than one Pythagorean triangle | 16.5 % |
| A014752 | Primes of the form x^2 + 27y^2 | 42.3 % |
| A020668 | Numbers of the form x^2 + 4*y^2 | 20.2 % |
| A020669 | Numbers of form x^2 + 5 y^2 | 22.9 % |
| A020670 | Numbers of form x^2 + 7y^2 | 17.3 % |
| A020671 | Numbers of form x^2 + 8 y^2 | 20.4 % |
| A020672 | Numbers of form x^2 + 9 y^2 | 24.5 % |
| A020673 | Numbers of form x^2 + 10 y^2 | 21.5 % |
| A020674 | Numbers of the form 2*x^2 + 5*y^2 | 20.7 % |
| A020675 | Numbers of form 2 x^2 + 7 y^2 | 17.6 % |
| A020676 | Numbers of form 2 x^2 + 9 y^2 | 23.1 % |
| A020677 | Numbers of form 3*x^2 + 4*y^2 | 25.3 % |
| A020678 | Numbers of form 3 x^2 + 5 y^2 | 30.5 % |
| A020679 | Numbers of form 3*x^2 + 7*y^2 | 24.0 % |
| A020680 | Numbers of form 3 x^2 + 8 y^2 | 26.5 % |
| A020681 | Numbers of form 3 x^2 + 10 y^2 | 28.7 % |
| A020682 | Numbers of form 4 x^2 + 5 y^2 | 27.7 % |
| A020683 | Numbers of form 4 x^2 + 7 y^2 | 17.9 % |
| A020684 | Numbers of form 4 x^2 + 9 y^2 | 29.9 % |
| A020685 | Numbers of form 5 x^2 + 6 y^2 | 28.8 % |
| A020686 | Numbers of form 5 x^2 + 7 y^2 | 25.8 % |
| A020687 | Numbers of form 5 x^2 + 8 y^2 | 26.9 % |
| A020688 | Numbers of form 5 x^2 + 9 y^2 | 31.7 % |
| A020689 | Numbers of form 6 x^2 + 7 y^2 | 23.2 % |
| A020690 | Numbers of form 7 x^2 + 8 y^2 | 22.7 % |
| A020691 | Numbers of form 7 x^2 + 9 y^2 | 27.3 % |
| A020692 | Numbers of form 7 x^2 + 10 y^2 | 22.6 % |
| A020693 | Numbers of the form 8*x^2 + 9*y^2 | 28.7 % |
| A020694 | Numbers of form 9 x^2 + 10 y^2 | 32.5 % |
| A020756 | Numbers that are the sum of two triangular numbers | 14.8 % |
| A020757 | Numbers that are not the sum of two triangular numbers | 12.3 % |
| A020893 | Squarefree sums of two squares; or squarefree numbers with no prime factors of the form 4k+3 | 17.3 % |
| A022544 | Numbers that are not the sum of 2 squares | 13.4 % |
| A025284 | Numbers that are the sum of 2 nonzero squares in exactly 1 way | 18.2 % |
| A025395 | Numbers that are the sum of 3 positive cubes in exactly 1 way | 22.9 % |
| A028982 | Squares and twice squares | 66.5 % |
| A033199 | Primes of form x^2+6*y^2 | 39.5 % |
| A033201 | Primes of the form x^2 + 10*y^2 | 37.0 % |
| A033202 | Primes of form x^2+93*y^2 | 44.0 % |
| A033204 | Primes of form x^2 + 94*y^2 | 42.5 % |
| A033206 | Primes of form x^2+95*y^2 | 47.5 % |
| A033208 | Primes of form x^2+97*y^2 | 38.0 % |
| A033209 | Primes of form x^2 + 11*y^2 | 37.9 % |
| A033210 | Primes of the form x^2+13*y^2 | 35.2 % |
| A033211 | Primes of form x^2 + 14*y^2 | 35.9 % |
| A033213 | Primes of form x^2+17*y^2 | 37.0 % |
| A033214 | Primes of form x^2+19*y^2 | 37.9 % |
| A033215 | Primes of form x^2+21*y^2 | 41.7 % |
| A033216 | Primes of form x^2+22*y^2 | 35.3 % |
| A033217 | Primes of form x^2 + 23*y^2 | 35.3 % |
| A033218 | Primes of form x^2+26*y^2 | 42.5 % |
| A033219 | Primes of form x^2+29*y^2 | 41.7 % |
| A033220 | Primes of form x^2+30*y^2 | 48.2 % |
| A033221 | Primes of form x^2+31*y^2 | 35.6 % |
| A033222 | Primes of form x^2+33*y^2 | 46.3 % |
| A033223 | Primes of form x^2+34*y^2 | 37.4 % |
| A033224 | Primes of form x^2+35*y^2 | 42.1 % |
| A033225 | Primes of form x^2+37*y^2 | 34.2 % |
| A033226 | Primes of form x^2+38*y^2 | 42.5 % |
| A033227 | Primes of form x^2+39*y^2 | 45.2 % |
| A033228 | Primes of form x^2+41*y^2 | 42.5 % |
| A033229 | Primes of form x^2+42*y^2 | 42.1 % |
| A033230 | Primes of form x^2+43*y^2 | 37.3 % |
| A033231 | Primes of form x^2+46*y^2 | 36.9 % |
| A033232 | Primes of form x^2+47*y^2 | 39.5 % |
| A033233 | Primes of form x^2+51*y^2 | 45.4 % |
| A033234 | Primes of form x^2+53*y^2 | 41.5 % |
| A033235 | Primes of the form x^2 + 55*y^2 | 43.1 % |
| A033236 | Primes of form x^2+57*y^2 | 45.5 % |
| A033237 | Primes of form x^2+58*y^2 | 34.5 % |
| A033238 | Primes of form x^2+59*y^2 | 44.5 % |
| A033239 | Primes of form x^2+61*y^2 | 41.6 % |
| A033240 | Primes of form x^2+62*y^2 | 42.4 % |
| A033241 | Primes of form x^2+65*y^2 | 47.9 % |
| A033242 | Primes of form x^2+66*y^2 | 50.2 % |
| A033243 | Primes of form x^2+67*y^2 | 37.0 % |
| A033244 | Primes of form x^2+69*y^2 | 47.3 % |
| A033245 | Primes of form x^2+70*y^2 | 39.1 % |
| A033246 | Primes of form x^2+71*y^2 | 41.7 % |
| A033247 | Primes of form x^2+73*y^2 | 37.8 % |
| A033248 | Primes of the form x^2+74*y^2 | 45.3 % |
| A033249 | Primes of form x^2+77*y^2 | 42.3 % |
| A033250 | Primes of form x^2+78*y^2 | 45.5 % |
| A033251 | Primes of form x^2+79*y^2 | 39.5 % |
| A033252 | Primes of form x^2+82*y^2 | 37.8 % |
| A033253 | Primes of form x^2+83*y^2 | 44.1 % |
| A033254 | Primes of form x^2+85*y^2 | 40.5 % |
| A033255 | Primes of form x^2+86*y^2 | 45.3 % |
| A033256 | Primes of form x^2+87*y^2 | 47.4 % |
| A033257 | Primes of form x^2+89*y^2 | 45.6 % |
| A033258 | Primes of form x^2+91*y^2 | 40.3 % |
| A034017 | Numbers that are primitively represented by x^2 + xy + y^2 | 29.7 % |
| A034020 | Not of the form x^2 + x*y + y^2 | 9.2 % |
| A035121 | Numbers of the form x^2+82*y^2 | 20.5 % |
| A045980 | Numbers of the form x^3 + y^3 or x^3 - y^3 | 40.2 % |
| A046711 | From the Bruck-Ryser theorem: numbers n == 1 or 2 (mod 4) which are also the sum of 2 squares | 17.9 % |
| A046712 | From the Bruck-Ryser theorem: n == 1 or 2 (mod 4) which are not the sum of 2 squares | 15.3 % |
| A050795 | Numbers n such that n^2 - 1 is expressible as the sum of two nonzero squares in at least one way | 36.4 % |
| A056874 | Primes of form x^2+xy+3y^2, discriminant -11 | 30.5 % |
| A084865 | Primes of the form 2x^2 + 3y^2 | 39.5 % |
| A097102 | Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 13 ways | 23.6 % |
| A097103 | Numbers m that are the hypotenuse of exactly 22 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 22 ways | 25.7 % |
| A102271 | Primes of the form 3*x^2 + 7*y^2 | 41.1 % |
| A106857 | Primes of the form x^2+xy+3y^2, with x and y nonnegative | 32.0 % |
| A106861 | Primes of the form x^2+xy+4y^2, with x and y nonnegative | 44.7 % |
| A106862 | Primes of the form x^2+xy+5y^2, with x and y nonnegative | 30.9 % |
| A106866 | Primes of the form 2x^2+xy+3y^2, with x and y nonnegative | 36.1 % |
| A106867 | Primes of the form 2*x^2 + x*y + 3*y^2 | 29.9 % |
| A106869 | Primes of the form x^2+xy+6y^2, with x and y nonnegative | 36.2 % |
| A106870 | Primes of the form x^2+xy+7y^2, with x and y nonnegative | 36.0 % |
| A106871 | Primes of the form 2x^2+xy+4y^2, with x and y nonnegative | 36.6 % |
| A106874 | Primes of the form x^2+xy+8y^2, with x and y nonnegative | 36.3 % |
| A106875 | Primes of the form 3x^2+2xy+3y^2, with x and y nonnegative | 40.2 % |
| A106877 | Primes of the form 3x^2+xy+3y^2, with x and y nonnegative | 39.4 % |
| A106880 | Primes of the form x^2+xy+9y^2, with x and y nonnegative | 35.5 % |
| A106881 | Primes of the form x^2+xy+9y^2 | 34.8 % |
| A106882 | Primes of the form 2x^2+2xy+5y^2, with x and y nonnegative | 41.7 % |
| A106883 | Primes of the form 3x^2+3xy+4y^2, with x and y nonnegative | 47.9 % |
| A106885 | Primes of the form 2x^2+xy+5y^2, with x and y nonnegative | 46.5 % |
| A106889 | Primes of the form 2x^2 + 5y^2 | 37.2 % |
| A106890 | Primes of the form x^2 + xy + 11y^2, with x and y nonnegative | 29.7 % |
| A106892 | Primes of the form 3x^2+2xy+4y^2, with x and y nonnegative | 39.3 % |
| A106894 | Primes of the form 3x^2+xy+4y^2, with x and y nonnegative | 39.9 % |
| A106897 | Primes of the form 2x^2+xy+6y^2, with x and y nonnegative | 40.0 % |
| A106900 | Primes of the form x^2+xy+12y^2, with x and y nonnegative | 40.2 % |
| A106901 | Primes of the form 3x^2+3xy+5y^2, with x and y nonnegative | 40.1 % |
| A106903 | Primes of the form x^2+xy+13y^2, with x and y nonnegative | 39.0 % |
| A106905 | Primes of the form 2x^2+2xy+7y^2, with x and y nonnegative | 36.7 % |
| A106907 | Primes of the form 4x^2+3xy+4y^2, with x and y nonnegative | 49.7 % |
| A106910 | Primes of the form 2x^2+xy+7y^2, with x and y nonnegative | 44.3 % |
| A106914 | Primes of the form 3x^2+2xy+5y^2, with x and y nonnegative | 36.8 % |
| A106917 | Primes of the form 2x^2 + 7y^2 | 35.8 % |
| A106918 | Primes of the form 3x^2+xy+5y^2, with x and y nonnegative | 37.6 % |
| A106921 | Primes of the form x^2+xy+15y^2, with x and y nonnegative | 37.5 % |
| A106923 | Primes of the form 4x^2+xy+4y^2, with x and y nonnegative | 47.1 % |
| A106926 | Primes of the form 2x^2+xy+8y^2, with x and y nonnegative | 42.5 % |
| A106929 | Primes of the form x^2+xy+16y^2, with x and y nonnegative | 42.2 % |
| A106931 | Primes of the form 4x^2+4xy+5y^2, with x and y nonnegative | 35.9 % |
| A106932 | Primes of the form x^2 + xy + 17y^2, with x and y nonnegative | 29.5 % |
| A106934 | Primes of the form 3x^2+2xy+6y^2, with x and y nonnegative | 38.1 % |
| A106937 | Primes of the form 2x^2+2xy+9y^2, with x and y nonnegative | 38.2 % |
| A106939 | Primes of the form 4x^2+3xy+5y^2, with x and y nonnegative | 43.4 % |
| A106942 | Primes of the form 3x^2+xy+6y^2, with x and y nonnegative | 42.2 % |
| A106945 | Primes of the form 2x^2+xy+9y^2, with x and y nonnegative | 42.3 % |
| A106949 | Primes of the form 2x^2 + 9y^2 | 39.7 % |
| A106950 | Primes of the form x^2 + 18y^2 | 39.6 % |
| A106951 | Primes of the form 3x^2+3xy+7y^2, with x and y nonnegative | 44.5 % |
| A106953 | Primes of the form 4x^2+2xy+5y^2, with x and y nonnegative | 38.6 % |
| A106956 | Primes of the form 4x^2+xy+5y^2, with x and y nonnegative | 40.0 % |
| A106959 | Primes of the form 2x^2+xy+10y^2, with x and y nonnegative | 39.8 % |
| A106963 | Primes of the form 4x^2 + 5y^2 | 41.6 % |
| A106964 | Primes of the form 3x^2+2xy+7y^2, with x and y nonnegative | 43.0 % |
| A106966 | Primes of the form 3x^2+xy+7y^2, with x and y nonnegative | 37.3 % |
| A106969 | Primes of the form x^2+xy+21y^2, with x and y nonnegative | 37.2 % |
| A106971 | Primes of the form 5x^2+4xy+5y^2, with x and y nonnegative | 48.3 % |
| A106974 | Primes of the form 2x^2+2xy+11y^2, with x and y nonnegative | 43.0 % |
| A106975 | Primes of the form 4x^2+3xy+6y^2, with x and y nonnegative | 48.9 % |
| A106978 | Primes of the form 3x^2+3xy+8y^2, with x and y nonnegative | 48.9 % |
| A106980 | Primes of the form 2x^2+xy+11y^2, with x and y nonnegative | 47.9 % |
| A106984 | Primes of the form 2x^2 + 11y^2 | 35.2 % |
| A106985 | Primes of the form 5x^2+3xy+5y^2, with x and y nonnegative | 38.7 % |
| A106988 | Primes of the form x^2+xy+23y^2, with x and y nonnegative | 33.3 % |
| A106990 | Primes of the form 5x^2+5xy+6y^2, with x and y nonnegative | 50.2 % |
| A106992 | Primes of the form 4x^2+xy+6y^2, with x and y nonnegative | 47.9 % |
| A106995 | Primes of the form 3x^2+xy+8y^2, with x and y nonnegative | 48.0 % |
| A106998 | Primes of the form 2x^2+xy+12y^2, with x and y nonnegative | 47.8 % |
| A107002 | Primes of the form 5x^2+2xy+5y^2, with x and y nonnegative | 49.7 % |
| A107005 | Primes of the form 4x^2+4xy+7y^2, with x and y nonnegative | 46.3 % |
| A107006 | Primes of the form 4x^2-4xy+7y^2, with x and y nonnegative | 44.4 % |
| A107007 | Primes of the form 3*x^2+8*y^2 | 44.3 % |
| A107008 | Primes of the form x^2 + 24*y^2 | 44.4 % |
| A107009 | Primes of the form 5x^2+xy+5y^2, with x and y nonnegative | 46.4 % |
| A107012 | Primes of the form x^2+xy+25y^2, with x and y nonnegative | 42.1 % |
| A107132 | Primes of the form 2x^2 + 13y^2 | 43.0 % |
| A107133 | Primes of the form 4x^2 + 7y^2 | 30.4 % |
| A107134 | Primes of the form x^2+28y^2 | 30.4 % |
| A107135 | Primes of the form 5x^2 + 6y^2 | 48.1 % |
| A107136 | Primes of the form 3x^2 + 10y^2 | 47.5 % |
| A107137 | Primes of the form 2x^2 + 15y^2 | 47.3 % |
| A107138 | Primes of the form 3x^2 + 11y^2 | 46.4 % |
| A107139 | Primes of the form 2x^2 + 17y^2 | 37.3 % |
| A107140 | Primes of the form 5x^2 + 7y^2 | 41.5 % |
| A107141 | Primes of the form 4x^2 + 9y^2 | 43.9 % |
| A107142 | Primes of the form x^2 + 36y^2 | 44.2 % |
| A107143 | Primes of the form 2x^2 + 19y^2 | 42.3 % |
| A107144 | Primes of the form 5x^2 + 8y^2 | 42.3 % |
| A107145 | Primes of the form x^2 + 40y^2 | 41.9 % |
| A107146 | Primes of the form 6x^2 + 7y^2 | 40.5 % |
| A107147 | Primes of the form 3x^2 + 14y^2 | 40.7 % |
| A107148 | Primes of the form 2x^2 + 21y^2 | 42.0 % |
| A107149 | Primes of the form 4x^2 + 11y^2 | 42.8 % |
| A107150 | Primes of the form x^2 + 44y^2 | 42.8 % |
| A107151 | Primes of the form 5x^2 + 9y^2 | 47.8 % |
| A107152 | Primes of the form x^2 + 45y^2 | 47.5 % |
| A107153 | Primes of the form 2x^2 + 23y^2 | 36.9 % |
| A107155 | Primes of the form x^2 + 49y^2 | 35.6 % |
| A107156 | Primes of the form 2x^2 + 25y^2 | 44.7 % |
| A107157 | Primes of the form x^2 + 50y^2 | 44.7 % |
| A107158 | Primes of the form 3x^2 + 17y^2 | 45.2 % |
| A107159 | Primes of the form 4x^2 + 13y^2 | 40.0 % |
| A107160 | Primes of the form x^2 + 52y^2 | 40.0 % |
| A107161 | Primes of the form 2x^2 + 27y^2 | 46.7 % |
| A107162 | Primes of the form x^2 + 54y^2 | 46.3 % |
| A107163 | Primes of the form 7x^2 + 8y^2 | 40.5 % |
| A107164 | Primes of the form x^2 + 56y^2 | 40.7 % |
| A107165 | Primes of the form 3x^2 + 19y^2 | 45.6 % |
| A107166 | Primes of the form 2x^2 + 29y^2 | 34.4 % |
| A107167 | Primes of the form 5x^2 + 12y^2 | 48.3 % |
| A107168 | Primes of the form 4x^2 + 15y^2 | 47.5 % |
| A107169 | Primes of the form 3x^2 + 20y^2 | 48.4 % |
| A107170 | Primes of the form 2x^2 + 31y^2 | 42.4 % |
| A107171 | Primes of the form 5x^2 + 13y^2 | 48.0 % |
| A107172 | Primes of the form 6x^2 + 11y^2 | 50.2 % |
| A107173 | Primes of the form 3x^2 + 22y^2 | 50.4 % |
| A107174 | Primes of the form 2x^2 + 33y^2 | 50.5 % |
| A107175 | Primes of the form 4x^2 + 17y^2 | 41.5 % |
| A107176 | Primes of the form x^2 + 68y^2 | 41.8 % |
| A107177 | Primes of the form 3x^2+23y^2 | 47.4 % |
| A107178 | Primes of the form 7x^2 + 10y^2 | 37.7 % |
| A107179 | Primes of the form 5x^2 + 14y^2 | 39.8 % |
| A107180 | Primes of the form 2x^2 + 35y^2 | 39.8 % |
| A107181 | Primes of the form 8x^2 + 9y^2 | 44.5 % |
| A107182 | Primes of the form 2x^2 + 37y^2 | 44.9 % |
| A107183 | Primes of the form 3x^2 + 25y^2 | 50.0 % |
| A107184 | Primes of the form x^2 + 75y^2 | 50.0 % |
| A107185 | Primes of the form 4x^2 + 19y^2 | 42.4 % |
| A107186 | Primes of the form x^2 + 76y^2 | 42.5 % |
| A107187 | Primes of the form 7x^2 + 11y^2 | 42.4 % |
| A107188 | Primes of the form 6x^2 + 13y^2 | 46.0 % |
| A107189 | Primes of the form 3x^2 + 26y^2 | 45.4 % |
| A107190 | Primes of the form 2x^2 + 39y^2 | 46.0 % |
| A107191 | Primes of the form 5x^2 + 16y^2 | 46.6 % |
| A107192 | Primes of the form x^2 + 80*y^2 | 46.8 % |
| A107193 | Primes of the form x^2 + 81y^2 | 46.9 % |
| A107194 | Primes of the form 2x^2 + 41y^2 | 37.9 % |
| A107195 | Primes of the form 7x^2 + 12y^2 | 45.8 % |
| A107196 | Primes of the form 4x^2 + 21y^2 | 46.2 % |
| A107197 | Primes of the form 3x^2 + 28y^2 | 46.0 % |
| A107198 | Primes of the form x^2 + 84y^2 | 46.2 % |
| A107199 | Primes of the form 5x^2 + 17y^2 | 40.6 % |
| A107200 | Primes of the form 2x^2 + 43y^2 | 45.1 % |
| A107201 | Primes of the form 8x^2 + 11y^2 | 40.2 % |
| A107202 | Primes of the form x^2 + 88y^2 | 40.1 % |
| A107203 | Primes of the form 9x^2 + 10y^2 | 52.3 % |
| A107204 | Primes of the form 5x^2 + 18y^2 | 52.0 % |
| A107205 | Primes of the form 2x^2 + 45y^2 | 51.8 % |
| A107206 | Primes of the form x^2 + 90y^2 | 52.0 % |
| A107207 | Primes of the form 7x^2 + 13y^2 | 40.0 % |
| A107208 | Primes of the form 4x^2 + 23y^2 | 40.1 % |
| A107209 | Primes of the form x^2 + 92y^2 | 40.0 % |
| A107210 | Primes of the form 3x^2 + 31y^2 | 42.8 % |
| A107211 | Primes of the form 2x^2 + 47y^2 | 42.4 % |
| A107212 | Primes of the form 3x^2 + 32y^2 | 48.7 % |
| A107213 | Primes of the form x^2 + 96y^2 | 48.5 % |
| A107214 | Primes of the form 2x^2 + 49y^2 | 40.4 % |
| A107215 | Primes of the form x^2 + 98y^2 | 40.7 % |
| A107216 | Primes of the form 9x^2 + 11y^2 | 48.3 % |
| A107217 | Primes of the form x^2 + 99y^2 | 48.2 % |
| A107218 | Primes of the form 4x^2 + 25y^2 | 41.7 % |
| A107219 | Primes of the form x^2 + 100y^2 | 41.6 % |
| A118882 | Numbers which are the sum of two squares in two or more different ways | 19.9 % |
| A118886 | Numbers expressible as x^2 + x*y + y^2, 0 <= x <= y, in 2 or more ways | 29.3 % |
| A125022 | Numbers with a unique partition as the sum of 2 squares x^2 + y^2 | 18.1 % |
| A139489 | Primes of the form x^2+101y^2 | 46.9 % |
| A139644 | Primes of the form x^2 + 105*y^2 | 49.4 % |
| A139645 | Primes of the form x^2 + 112*y^2 | 35.2 % |
| A139646 | Primes of the form x^2 + 130*y^2 | 43.5 % |
| A139647 | Primes of the form x^2 + 133*y^2 | 36.9 % |
| A139648 | Primes of the form x^2 + 165*y^2 | 53.6 % |
| A139649 | Primes of the form x^2 + 177*y^2 | 44.6 % |
| A139650 | Primes of the form x^2 + 190*y^2 | 42.9 % |
| A139651 | Primes of the form x^2 + 210*y^2 | 48.7 % |
| A139652 | Primes of the form x^2 + 232*y^2 | 39.1 % |
| A139653 | Primes of the form x^2 + 253*y^2 | 39.2 % |
| A139654 | Primes of the form x^2+273y^2 | 47.7 % |
| A139655 | Primes of the form x^2 + 280*y^2 | 43.7 % |
| A139656 | Primes of the form x^2 + 312*y^2 | 50.3 % |
| A139657 | Primes of the form x^2 + 330*y^2 | 53.9 % |
| A139658 | Primes of the form x^2 + 345*y^2 | 51.2 % |
| A139659 | Primes of the form x^2 + 357*y^2 | 44.8 % |
| A139660 | Primes of the form x^2 + 385*y^2 | 46.2 % |
| A139661 | Primes of the form x^2 + 408*y^2 | 47.4 % |
| A139662 | Primes of the form x^2 + 462*y^2 | 48.4 % |
| A139663 | Primes of the form x^2 + 520*y^2 | 47.9 % |
| A139664 | Primes of the form x^2 + 760*y^2 | 47.8 % |
| A139665 | Primes of the form x^2 + 840*y^2 | 53.5 % |
| A139666 | Primes of the form x^2 + 1320*y^2 | 58.6 % |
| A139667 | Primes of the form x^2 + 1365*y^2 | 55.6 % |
| A139668 | Primes of the form x^2 + 1848*y^2 | 53.0 % |
| A139841 | Primes of the form 2x^2 + 51y^2 | 42.7 % |
| A139842 | Primes of the form 3x^2 + 34y^2 | 42.7 % |
| A139843 | Primes of the form 6x^2 + 17y^2 | 42.7 % |
| A139845 | Primes of the form 3x^2 + 35y^2 | 50.6 % |
| A139846 | Primes of the form 5x^2 + 21y^2 | 49.8 % |
| A139848 | Primes of the form 7x^2 + 15y^2 | 48.5 % |
| A139852 | Primes of the form 7x^2 + 16y^2 | 35.3 % |
| A139854 | Primes of the form 3x^2 + 40y^2 | 52.4 % |
| A139856 | Primes of the form 5x^2 + 24y^2 | 52.9 % |
| A139857 | Primes of the form 8x^2 + 15y^2 | 52.4 % |
| A139861 | Primes of the form 2x^2 + 65y^2 | 43.5 % |
| A139862 | Primes of the form 5x^2 + 26y^2 | 43.9 % |
| A139863 | Primes of the form 10x^2 + 13y^2 | 43.3 % |
| A139865 | Primes of the form 7x^2 + 19y^2 | 36.6 % |
| A139868 | Primes of the form 3x^2 + 55y^2 | 54.3 % |
| A139869 | Primes of the form 5x^2 + 33y^2 | 54.3 % |
| A139872 | Primes of the form 11x^2 + 15y^2 | 53.7 % |
| A139874 | Primes of the form 3x^2 + 56y^2 | 45.8 % |
| A139876 | Primes of the form 7x^2+24y^2 | 45.8 % |
| A139877 | Primes of the form 8x^2+21y^2 | 46.7 % |
| A139882 | Primes of the form 3x^2+59y^2 | 44.7 % |
| A139884 | Primes of the form 2x^2+95y^2 | 43.1 % |
| A139885 | Primes of the form 5x^2+38y^2 | 43.4 % |
| A139886 | Primes of the form 10x^2 + 19y^2 | 43.0 % |
| A139887 | Primes of the form 2x^2+105y^2 | 49.9 % |
| A139888 | Primes of the form 3x^2+70y^2 | 48.7 % |
| A139889 | Primes of the form 5x^2+42y^2 | 48.8 % |
| A139890 | Primes of the form 6x^2+35y^2 | 50.7 % |
| A139891 | Primes of the form 7x^2+30y^2 | 50.0 % |
| A139892 | Primes of the form 10x^2+21y^2 | 50.6 % |
| A139893 | Primes of the form 14x^2+15y^2 | 49.0 % |
| A139895 | Primes of the form 8x^2+29y^2 | 39.7 % |
| A139897 | Primes of the form 3*x^2+80*y^2 | 52.2 % |
| A139899 | Primes of the form 5x^2+48y^2 | 52.4 % |
| A139904 | Primes of the form 2x^2+2xy+127y^2 | 39.5 % |
| A139905 | Primes of the form 11x^2+23y^2 | 39.1 % |
| A139908 | Primes of the form 3x^2+91y^2 | 47.6 % |
| A139910 | Primes of the form 7x^2+39y^2 | 47.5 % |
| A139911 | Primes of the form 13x^2+21y^2 | 47.6 % |
| A139915 | Primes of the form 5x^2+56y^2 | 44.4 % |
| A139916 | Primes of the form 7x^2+40y^2 | 43.2 % |
| A139917 | Primes of the form 8x^2+35y^2 | 43.8 % |
| A139921 | Primes of the form 3x^2+104y^2 | 50.1 % |
| A139923 | Primes of the form 8x^2+39y^2 | 50.9 % |
| A139926 | Primes of the form 13x^2+24y^2 | 50.6 % |
| A139928 | Primes of the form 2x^2+165y^2 | 53.5 % |
| A139929 | Primes of the form 3x^2+110y^2 | 53.3 % |
| A139930 | Primes of the form 5x^2+66y^2 | 54.2 % |
| A139931 | Primes of the form 6x^2+55y^2 | 54.2 % |
| A139932 | Primes of the form 10x^2+33y^2 | 53.3 % |
| A139933 | Primes of the form 11x^2+30y^2 | 54.0 % |
| A139934 | Primes of the form 15x^2+22y^2 | 53.5 % |
| A139936 | Primes of the form 3x^2+115y^2 | 51.6 % |
| A139937 | Primes of the form 5x^2+69y^2 | 50.9 % |
| A139940 | Primes of the form 15*x^2+23*y^2 | 51.1 % |
| A139943 | Primes of the form 3x^2+119y^2 | 45.6 % |
| A139945 | Primes of the form 7x^2+51y^2 | 44.9 % |
| A139947 | Primes of the form 17x^2+21y^2 | 44.4 % |
| A139950 | Primes of the form 5x^2+77y^2 | 45.7 % |
| A139951 | Primes of the form 7x^2+55y^2 | 45.9 % |
| A139953 | Primes of the form 11x^2+35y^2 | 46.2 % |
| A139956 | Primes of the form 3x^2+136y^2 | 47.7 % |
| A139958 | Primes of the form 8x^2+51y^2 | 47.1 % |
| A139961 | Primes of the form 17x^2+24y^2 | 47.9 % |
| A139963 | Primes of the form 2x^2+231y^2 | 48.5 % |
| A139964 | Primes of the form 3x^2+154y^2 | 47.3 % |
| A139965 | Primes of the form 6x^2+77y^2 | 47.4 % |
| A139966 | Primes of the form 7x^2+66y^2 | 47.3 % |
| A139967 | Primes of the form 11x^2+42y^2 | 48.4 % |
| A139968 | Primes of the form 14x^2+33y^2 | 47.4 % |
| A139969 | Primes of the form 21x^2+22y^2 | 48.4 % |
| A139971 | Primes of the form 5x^2+104y^2 | 48.6 % |
| A139972 | Primes of the form 8x^2+65y^2 | 47.9 % |
| A139974 | Primes of the form 13x^2+40y^2 | 48.1 % |
| A139978 | Primes of the form 5x^2+152y^2 | 47.7 % |
| A139979 | Primes of the form 8x^2+95y^2 | 47.8 % |
| A139981 | Primes of the form 19x^2+40y^2 | 47.6 % |
| A139984 | Primes of the form 3x^2+280y^2 | 54.3 % |
| A139985 | Primes of the form 4x^2+4xy+211y^2 | 53.6 % |
| A139986 | Primes of the form 5x^2+168y^2 | 54.4 % |
| A139987 | Primes of the form 7x^2+120y^2 | 54.5 % |
| A139988 | Primes of the form 8x^2+105y^2 | 54.5 % |
| A139991 | Primes of the form 15x^2+56y^2 | 53.7 % |
| A139993 | Primes of the form 21x^2+40y^2 | 54.9 % |
| A139994 | Primes of the form 24x^2+35y^2 | 55.0 % |
| A139999 | Primes of the form 3x^2+440y^2 | 58.3 % |
| A140001 | Primes of the form 5x^2+264y^2 | 58.7 % |
| A140002 | Primes of the form 8*x^2 + 165*y^2 | 58.4 % |
| A140004 | Primes of the form 11x^2+120y^2 | 58.9 % |
| A140006 | Primes of the form 15x^2+88y^2 | 58.2 % |
| A140008 | Primes of the form 24x^2+55y^2 | 58.8 % |
| A140010 | Primes of the form 33x^2+40y^2 | 58.3 % |
| A140015 | Primes of the form 3x^2+455y^2 | 56.1 % |
| A140016 | Primes of the form 5x^2+273y^2 | 56.1 % |
| A140018 | Primes of the form 7x^2+195y^2 | 56.3 % |
| A140020 | Primes of the form 13x^2+105y^2 | 56.0 % |
| A140022 | Primes of the form 15x^2+91y^2 | 55.9 % |
| A140023 | Primes of the form 21x^2+65y^2 | 56.2 % |
| A140026 | Primes of the form 35x^2+39y^2 | 55.5 % |
| A140029 | Primes of the form 3x^2+616y^2 | 52.3 % |
| A140031 | Primes of the form 7x^2+264y^2 | 52.4 % |
| A140032 | Primes of the form 8x^2+231y^2 | 53.3 % |
| A140034 | Primes of the form 11x^2+168y^2 | 52.7 % |
| A140036 | Primes of the form 21x^2+88y^2 | 53.0 % |
| A140037 | Primes of the form 24x^2+77y^2 | 52.2 % |
| A140040 | Primes of the form 33x^2+56y^2 | 52.1 % |
| A154777 | Numbers of the form x^2 + 2*y^2 with positive integers x and y | 14.9 % |
| A156683 | Integers that can occur as either leg in more than one primitive Pythagorean triple | 13.7 % |
| A173274 | Primes of the form x^2 + 18480*y^2 | 68.5 % |
| A198772 | Numbers having exactly one representation by the quadratic form x^2 + xy + y^2 with 0 <= x <= y | 27.1 % |
| A198773 | Numbers having exactly two representations by the quadratic form x^2+xy+y^2 with 0<=x<=y | 30.4 % |
| A202822 | Numbers of the form 3*(x^2 + xy + y^2 + x + y) + 1 where x and y are integers | 28.4 % |
| A243173 | Numbers of the form x^2+15y^2 | 30.3 % |
| A244037 | Numbers of the form x^2+14y^2 | 17.7 % |
| A247881 | Numbers of the form x^2 + 13*y^2 | 20.9 % |
| A260682 | Löschian numbers (A003136) of the form 6*k+1 | 32.2 % |
| A272933 | Numbers of the form x^2 + 12*y^2 | 26.6 % |
| A360652 | Primes of the form x^2 + 432*y^2 | 51.2 % |