Saradha, N. ; Shorey, T. N. (2003) Almost squares and factorisations in consecutive integers Compositio Mathematica, 138 (1). pp. 113-124. ISSN 0010-437X
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Official URL: http://www.springerlink.com/content/k0343128781756...
Related URL: http://dx.doi.org/10.1023/A:1025480729778
Abstract
We show that there is no square other than 122 and 7202 such that it can be written as a product of k−1 integers out of k(≥3) consecutive positive integers. We give an extension of a theorem of Sylvester that a product of k consecutive integers each greater than k is divisible by a prime exceeding k.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Springer. |
| Keywords: | Consecutive; Diophantine Equations; Elliptic Equations; Factorisation; Primes |
| ID Code: | 67708 |
| Deposited On: | 31 Oct 2011 13:27 |
| Last Modified: | 31 Oct 2011 13:27 |
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