On a problem of A. Rotkiewicz

Authors:
Péter Kiss and Bui Minh Phong

Journal:
Math. Comp. **48** (1987), 751-755

MSC:
Primary 11A51; Secondary 11A05

DOI:
https://doi.org/10.1090/S0025-5718-1987-0878704-8

MathSciNet review:
878704

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Abstract | References | Similar Articles | Additional Information

Abstract: For any fixed positive integers *a*, there are infinitely many composite integers *n* such that .

**[1]**G. D. Birkhoff & H. S. Vandiver, "On the integral divisors of ,"*Ann. of Math.*(2), v. 5, 1904, pp. 173-180. MR**1503541****[2]**A. Makowski, "Generalization of Morrow's*D*numbers,"*Simon Stevin*, v. 36, 1962, p. 71. MR**0146136 (26:3662)****[3]**D. C. Morrow, "Some properties of*D*numbers,"*Amer. Math. Monthly*, v. 58, 1951, pp. 329-330. MR**1527863****[4]**D. S. Mitrinović & M. S. Popadić,*Inequalities in Number Theory*, Naucni Podmladak, Univ. of Niš, 1978, 183 pp. MR**525579 (80c:10002)****[5]**A. Rotkiewicz,*Pseudoprime Numbers and Their Generalizations*, Student Assoc. of the Faculty of Sci., Univ. of Novi Sad, 1972, 169 pp. MR**0330034 (48:8373)****[6]**A. Rotkiewicz, "On the congruence ,"*Math. Comp.*, v. 43, 1984, pp. 271-272. MR**744937 (85e:11005)****[7]**K. Zsigmondy, "Zur Theorie der Potenzreste,"*Monatsh. Math.*, v. 3, 1892, pp. 265-284. MR**1546236**

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Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-1987-0878704-8

Keywords:
Congruence,
primitive prime divisor

Article copyright:
© Copyright 1987
American Mathematical Society