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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
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Apr
11
revised Analytic Number Theory: Problem in Bertrand’s postulate
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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
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Apr
9
revised Analytic Number Theory: Problem in Bertrand’s postulate
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Apr
9
revised Analytic Number Theory: Problem in Bertrand’s postulate
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Apr
9
revised Analytic Number Theory: Problem in Bertrand’s postulate
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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 $\Omega_{\text{av}}(n)$
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Apr
6
revised Estimates of $\Omega_{\text{av}}(n)$
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Apr
4
revised Estimates of $\Omega_{\text{av}}(n)$
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Apr
4
revised Estimates of $\Omega_{\text{av}}(n)$
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Apr
4
revised Estimates of $\Omega_{\text{av}}(n)$
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Apr
4
revised Estimates of $\Omega_{\text{av}}(n)$
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