daniel
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 Apr 24 comment What is the maximum value of $\int_{0}^{2}{h(t)}dt$? "is the bigger value between..."?$\to$ "is the larger of.." Apr 17 comment What percentage of prime number factorials plus 1 are themselves prime? It's not an arithmetic sequence and I'm pretty sure it's an open question whether there are infinitely many primes of this form. Apr 17 comment What percentage of prime number factorials plus 1 are themselves prime? Suppose that, for sufficiently large $p,$ $p!+1$ is never a prime? Apr 11 revised Analytic Number Theory: Problem in Bertrand’s postulate deleted 4 characters in body Apr 11 revised Analytic Number Theory: Problem in Bertrand’s postulate added 136 characters in body Apr 11 comment Can we replace the upper limit condition of the Sieve of Eratosthenes $\sqrt{n}$ with the value $\sqrt{p}$ where $p$ is the last sieved prime $\lt n$? Right. I was confused by the suggestion of a counter-example. Given $p(\pi(\sqrt{n}))$ if there were a composite of primes g.t. $p$ it would exceed $n.$ So it is just the sieve. Apr 11 comment Can we replace the upper limit condition of the Sieve of Eratosthenes $\sqrt{n}$ with the value $\sqrt{p}$ where $p$ is the last sieved prime $\lt n$? I am confused. The point of the sieve is that you need not look for composites of primes g.t. $\sqrt{n}$ because they will exceed $n$ If you stipulate that the greatest prime not exceeding $\sqrt{n}$ is p, that is as far as you need go. The advantage of the classical sieve is that you don't have to find that penultimate prime. Is this the idea? Apr 10 awarded Nice Question Apr 9 revised Analytic Number Theory: Problem in Bertrand’s postulate added 2 characters in body Apr 9 revised Analytic Number Theory: Problem in Bertrand’s postulate added 38 characters in body Apr 9 revised Analytic Number Theory: Problem in Bertrand’s postulate added 38 characters in body Apr 9 revised Analytic Number Theory: Problem in Bertrand’s postulate deleted 54 characters in body Apr 9 answered Analytic Number Theory: Problem in Bertrand’s postulate Apr 6 accepted Estimates of $\Omega_{\text{av}}(n)$ Apr 6 revised Estimates of $\Omega_{\text{av}}(n)$ edited tags Apr 6 revised Estimates of $\Omega_{\text{av}}(n)$ deleted 1626 characters in body Apr 4 revised Estimates of $\Omega_{\text{av}}(n)$ added 77 characters in body Apr 4 revised Estimates of $\Omega_{\text{av}}(n)$ added 77 characters in body Apr 4 revised Estimates of $\Omega_{\text{av}}(n)$ added 77 characters in body Apr 4 revised Estimates of $\Omega_{\text{av}}(n)$ added 77 characters in body