A note on the solution of quartic equations
Herbert E. Salzer · Mathematics of Computation · 1960
2.l,9(n4 + 1) for n = 2747, 2771, 2885. 2. 97(n4 + 1) for n = 2669, 2683, 2749. New factorizations are as follows: 9384 + 1 = 809273X956569 10604 + 1 = 847577 1489513 13484 + 1 = 940169X3511993 15124 + 1 = 926617X5640361 18744 + 1 = 914561*13485457 21004 + 1 = 17X873553 X1309601 28384 + 1 = 868841X74663657 29084 + 1 = 41X940369X1854793 -(11554 + 1) = 830233*1071761 (11914 + 1) = 935353*1075577 2(15094 + 1) = 872369*2971849 '(26354 + 1) = 857569 *28107577 2(27654 + 1) = 908353*32173321 '(29774 + 1) = 17*809041*2855393 The following factorization was omitted from my original table [1]: 2(20554 + 1) = 17X572233*916633. The least integers still incompletely factored correspond to n = 1038 and 1229, for even and odd values of n, respectively.