Some new inequalities for primes
classification
🧮 math.NT
keywords
inequalitiesmainlyn-thprimeprimessome
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For n=1,2,3,... let p_n be the n-th prime. We mainly show that p_n>n+sum_{k=1}^n p_k/k for all n>124, and sum_{k=1}^n kp_k<n^2p_n/3 for all n>30.
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