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Additions to Cunningham's factor table of $ n\sp{4}+1$


Author: A. Gloden
Journal: Math. Comp. 16 (1962), 239-241
MSC: Primary 10.02
MathSciNet review: 0144843
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  • [1] A. J. C. Cunningham, Binomial Factorisations, v. I and IV, Francis Hodgson, London, 1923 (especially v. I, p. 113-119).
  • [2] S. Hoppenot, Tables des Solutions de la Congruence $ {x^4} \equiv - 1(\bmod N)$ pour $ 100000 < N < 200000$, Librairie du Sphinx, Brussels, 1935.
  • [3] Albert Delfeld, Table des solutions de la congruence 𝑋⁴+1≡0\pmod𝑝 pour 300000<𝑝<350000, Inst. Grand-Ducal Luxembourg. Sect. Sci. Nat. Phys. Math. Arch. N.S. 16 (1946), 65–70 (French). MR 0020563
  • [4] A. Gloden, ``Table des solutions de la congruence $ {X^4} + 1 \equiv 0(\bmod p)$ pour $ 2 \cdot {10^5} < p < 3 \cdot {10^5}$,'' Mathematica (Rumania), v. 21, 1945; Table des solutions de la congruence $ {x^4} + 1 \equiv 0(\bmod p)$ pour $ 350000 < p < 500000$, Centre de Documentation Universitaire, Paris, 1946; Table des solutions de la congruence $ {x^4} + 1 \equiv 0(\bmod p)$ pour $ 500000 < p < 600000$, Luxembourg, author, rue Jean Jaurès 11, 1947; Table des solutions de la congruence $ {x^4} + 1 \equiv 0(\bmod p)$ pour $ 600000 < p < 800000$, Luxembourg, published by the author, 1952; Table des solutions de la congruence $ {x^4} + 1\, = \,0(\bmod p)$ pour $ 800000 < p < 1000000$, Luxembourg, published by the author, 1959.
  • [5] M. Kraitchik, Recherches sur la Théorie des Nombres, v. 2, Gauthier-Villars, Paris, 1929, p. 116-117.
  • [6] N. G. W. H. Beeger, Additions and corrections to ``Binomial Factorisations'' by Lt. Col. A. J. C. Cunningham, Amsterdam, 1933.
  • [7] A. Gloden, ``Compléments aux tables de factorisation de Cunningham,'' Mathesis, v. 55, 1945-46, p. 254-256; ibid., v. 61, 1952, p. 49-50, 101, 305-306; v. 68, 1959, p. 172. See also Intermédiaire des Recherches Mathématiques, v. 4, 1948, p. 39.

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DOI: https://doi.org/10.1090/S0025-5718-1962-0144843-5
Article copyright: © Copyright 1962 American Mathematical Society