This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A140633 #25 Jul 14 2019 14:03:42 %S A140633 7,103,127,223,367,463,487,607,727,823,967,1063,1087,1303,1327,1423, %T A140633 1447,1543,1567,1663,1783,2143,2287,2383,2503,2647,2767,2887,3343, %U A140633 3463,3583,3607,3727,3823,3847,3943,3967,4327,4423,4447,4567,4663 %N A140633 Primes of the form 7x^2+4xy+52y^2. %C A140633 Discriminant=-1440. Also primes of the forms 7x^2+6xy+87y^2 and 7x^2+2xy+103y^2. %C A140633 Voight proves that there are exactly 69 equivalence classes of positive definite binary quadratic forms that represent almost the same primes. 48 of those quadratic forms are of the idoneal type discussed in A139827. The remaining 21 begin at A140613 and end here. The cross-references section lists the quadratic forms in the same order as tables 1-6 in Voight's paper. Note that A107169 and A139831 are in the same equivalence class. %C A140633 In base 12, the sequence is 7, 87, X7, 167, 267, 327, 347, 427, 507, 587, 687, 747, 767, 907, 927, 9X7, X07, X87, XX7, E67, 1047, 12X7, 13X7, 1467, 1547, 1647, 1727, 1807, 1E27, 2007, 20X7, 2107, 21X7, 2267, 2287, 2347, 2367, 2607, 2687, 26X7, 2787, 2847, where X is for 10 and E is for 11. Moreover, the discriminant is X00 and that all elements are {7, 87, X7, 167, 187, 247} mod 260. - _Walter Kehowski_, May 31 2008 %H A140633 Vincenzo Librandi and Ray Chandler, <a href="/A140633/b140633.txt">Table of n, a(n) for n = 1..10000</a> [First 1000 terms from Vincenzo Librandi] %H A140633 N. J. A. Sloane et al., <a href="https://oeis.org/wiki/Binary_Quadratic_Forms_and_OEIS">Binary Quadratic Forms and OEIS</a> (Index to related sequences, programs, references) %H A140633 John Voight, <a href="http://arXiv.org/abs/math.NT/0410266">Quadratic forms that represent almost the same primes</a>, Math. Comp., Vol. 76 (2007), pp. 1589-1617. %t A140633 Union[QuadPrimes2[7, 4, 52, 10000], QuadPrimes2[7, -4, 52, 10000]] (* see A106856 *) %Y A140633 Cf. A033205, A007519, A068228, A107135, A107144, A107152, A107151. %Y A140633 Cf. A107181, A139502, A139856, A139854, A139874, A139877, A139897. %Y A140633 Cf. A140613, A140614. A140615, A139923, A140616-A140619, A139988. %Y A140633 Cf. A139993, A140008, A140010, A140620-A140632, A033212, A102273. %Y A140633 Cf. A107007, A107003, A139830, A107169, A139831, A141373, A139847. %Y A140633 Cf. A139850, A139855, A139860, A139879, A139880, A139924, A139990. %Y A140633 Cf. A139998, A139992, A139996, A140003, A140013, A107006, A139858. %Y A140633 Cf. A107008, A140633, A139991, A139857, A139859, A139878, A007645, A002313. %K A140633 nonn,easy %O A140633 1,1 %A A140633 _T. D. Noe_, May 19 2008