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- sum_n=1^infty (-1)^(n+1) n/p_n
- n/p_n vs (n+1)/(p_(n+1))
- n/p_n vs (n+1)/(p_n+2)
- n/p_n vs n/(p_n+2) + 1/(p_n+2)
- n/p_n vs n/p_n + n/(p_n+2) - n/p_n + 1/(p_n+2)
- n/p_n vs n/p_n - 2n/(p_n(p_n+2)) + 1/(p_n+2)
- n/p_n vs n/p_n + (p_n - 2n)/(p_n(p_n+2))
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