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### Questions (10)

 4 Prove $\lim_{n\to\infty} \sum\limits_{k=1}^n \frac{\Lambda(k)}{k}-\ln(n)=-\gamma$ 3 Limit involving sums of the Von-Mangoldt function 2 What prime powers differ by one 2 Simple inequality help 1 Proving a simple inequality

### Reputation (103)

 +5 Proving a simple inequality +3 Prime counting inequality +5 Simple inequality help +5 What prime powers differ by one

 1 How to solve exponential function of form $a b^x + x = c$? 1 Is there a Math symbol that means “associated” 1 Explaining $\cos^\infty$ -1 How to minimize the difference of two factors when prime factorization is available -1 Question involving some roots of the equation $31z^{15} - z^{10} + 32 = 0$

### Tags (18)

 1 limits × 6 0 elementary-number-theory × 6 1 logarithms × 3 0 sequences-and-series × 5 1 notation 0 inequality × 4 1 soft-question 0 calculus × 2 1 trigonometry 0 functions

### Account (1)

 Mathematics 103 rep 3