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Mathematics
General Mathematics
A note on primes dividing alternating sums
Antonio M. Oller Marcen
Abstract
We define A_n=\sum_{i=1}^n (-1)^i\frac{1}{i} and we show that, for every prime p, there exists a number n such that A_n\equiv 0 (mod p).
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Submitted on 20 Jul 2006
Updated
arXiv.org
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