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

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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. Erdős,*On some divisibility properties of 2𝑛\choose𝑛*, Canad. Math. Bull.**7**(1964), 513–518. MR**0169809**, https://doi.org/10.4153/CMB-1964-047-5**[3]**P. ERDÖS, "Aufgabe 557,"*Elemente Math.*, v. 23, 1968, pp. 111-113.

Retrieve articles in *Mathematics of Computation*
with MSC:
10H15,
10L10

Retrieve articles in all journals with MSC: 10H15, 10L10

Additional Information

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

Article copyright:
© Copyright 1975
American Mathematical Society