Laishram, Shanta ; Shorey, T. N. (2006) Grimm's conjecture on consecutive integers International Journal of Number Theory, 2 (2). pp. 207-211. ISSN 1793-0421
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Official URL: http://www.worldscinet.com/ijnt/02/0202/S179304210...
Related URL: http://dx.doi.org/10.1142/S1793042106000498
Abstract
For positive integers n and k, it is possible to choose primes P1, P2,..., Pk such that Pi | (n + i) for 1 ≤ i ≤ k whenever n + 1, n + 2,..., n + k are all composites and n ≤ 1.9 x 1010. This provides a numerical verification of Grimm's Conjecture.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to World Scientific Publishing Co. |
| Keywords: | Consecutive Integers; Primes; Divisors; Distinct Representatives |
| ID Code: | 67716 |
| Deposited On: | 31 Oct 2011 13:28 |
| Last Modified: | 31 Oct 2011 13:28 |
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