Concerning the numbers 2^{2𝑝}+1, 𝑝 prime

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ISSN 1088-6842(online) ISSN 0025-5718(print)

Concerning the numbers $2\sp{2p}+1$ , prime

Author: John Brillhart
Journal: Math. Comp. 16 (1962), 424-430
MSC: Primary 10.02; Secondary 10.08
Corrigendum: Math. Comp. 17 (1963), 487-488.
Corrigendum: Math. Comp. 17 (1963), 215-215.
MathSciNet review: 0148593
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[1] John Brillhart and G. D. Johnson, On the factors of certain Mersenne numbers, Math. Comp. 14 (1960), 365–369. MR 0123507 (23 #A832), http://dx.doi.org/10.1090/S0025-5718-1960-0123507-6
[2] A. J. C. Cunningham & H. J. Woodall, Factorizations of $({y^n} \mp 1)$ , Hodgson, London, 1925, p. 6-9.
[3] M. Kraitchik, Recherches sur la Théorie des Nombres, Tome II, Paris, 1929.
[4] Derrick Henry Lehmer, Guide to Tables in the Theory of Numbers, Bulletin of the National Research Council, no. 105, National Research Council, Washington, D. C., 1941. MR 0003625 (2,247a)
[5] F. Proth, ``Théorèmes sur les nombres premiers,'' C. R. Acad. Sci. Paris, v. 87, 1878, p. 926.
[6] Raphael M. Robinson, Some factorizations of numbers of the form 2ⁿ±1, Math. Tables Aids Comput. 11 (1957), 265–268. MR 0094313 (20 #832), http://dx.doi.org/10.1090/S0025-5718-1957-0094313-6
[7] Robert Spira, The complex sum of divisors, Amer. Math. Monthly 68 (1961), 120–124. MR 0148594 (26 #6101)

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