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Please use this identifier to cite or link to this item:
http://hdl.handle.net/11154/938
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| Title: | ON THE SUM OF THE FIRST n PRIMES |
| Authors: | Cilleruelo, J
Luca, F |
| Issue Date: | 2008 |
| Abstract: | In this note, we show that the set of n such that the arithmetic mean of the first n primes is an integer is of asymptotic density zero. We use the same method to show that the set of n such that the sum of die first n primes is a square is also of asymptotic density zero. We also prove that both the arithmetic mean of the first n primes as well as the square root of the sum of the first n primes are well distributed modulo 1. |
| URI: | http://hdl.handle.net/11154/938 |
| ISSN: | 0033-5606 |
| Appears in Collections: | Ciencias
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