Prime Counting on Intervals - is this deduction valid?
Solution 1:
No. All $k$ primes of $[a_0,b_0]$ and all $m$ primes of $[a_1,b_1]$ may lie in $]a_1,b_0[$.
For instance, take $[a_0,b_0]=[0,8]$ and $[a_1,b_1]=[1,9]$. Further, choose $k=3, m=4$.
Prime Counting on Intervals - is this deduction valid?
Solution 1:
No. All $k$ primes of $[a_0,b_0]$ and all $m$ primes of $[a_1,b_1]$ may lie in $]a_1,b_0[$.
For instance, take $[a_0,b_0]=[0,8]$ and $[a_1,b_1]=[1,9]$. Further, choose $k=3, m=4$.