On the prime factors of

Authors:
P. Erdős, R. L. Graham, I. Z. Ruzsa and E. G. Straus

Journal:
Math. Comp. **29** (1975), 83-92

MSC:
Primary 10H15; Secondary 10L10

DOI:
https://doi.org/10.1090/S0025-5718-1975-0369288-3

MathSciNet review:
0369288

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Abstract: Several quantitative results are given expressing the fact that is usually divisible by a high power of the small primes. On the other hand, it is shown that for any two primes *p* and *q*, there exist infinitely many *n* for which .

**[1]**H. BALAKRAN, "On the values of*n*which make an integer,"*J. Indian Math. Soc.*, v. 18, 1929, pp. 97-100.**[2]**P. ERDÖS, "On some divisibility properties of ,"*Canad. Math. Bull.*, v. 7, 1964, pp. 513-518. MR**30**#52. MR**0169809 (30:52)****[3]**P. ERDÖS, "Aufgabe 557,"*Elemente Math.*, v. 23, 1968, pp. 111-113.

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DOI:
https://doi.org/10.1090/S0025-5718-1975-0369288-3

Article copyright:
© Copyright 1975
American Mathematical Society