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user 46140
4
votes
Accepted
Succinct polynomial sized representation of balanced bipartite graphs whose perfect matching...
Consider the graph $G_k$ with vertex set $$\{u_1, \ldots, u_k, v_1, \ldots, v_k\}$$ and edges $$\{(u_1, v_1), \ldots, (u_1, v_k)\} \cup \{(u_2, v_1), \ldots, (u_k, v_{k-1})\} \cup \{(u_2, v_k), \ldots …
- 7,226
3
votes
How can I convert Meissel's/Lehmer's formula for prime counting to get sum of primes
If you consult Lehmer's paper, the terms in question arise from $$P_2(x, a) = \sum_{p_a < p_i \le \frac x{p_i}} \sum_{p_i \le p_j \le \frac x{p_i}} 1 = \sum_{p_a < p_i \le b} \left\{ \pi\left(\frac x{ …
- 7,226