Jan29 answered Concentration bounds for sums of random variables of permutations Dec12 comment how to find/define eigenvectors as a continuous function of matrix?So consider the map $det(M-\lambdaI)$. This is a continuous map from $\mathbb{C}\times D$ to $\mathbb{C}$, with nice properties of the derivative. Apply the Inverse Function Theorem. Dec12 awarded ● Supporter Dec12 answered how to find/define eigenvectors as a continuous function of matrix? Dec9 comment Sieve of Erathostenes: removing consecutive itemsThat is true. I should think harder about what $L(n)$ means, and hopefully come up with something useful. Dec9 revised Sieve of Erathostenes: removing consecutive itemsadded 2 characters in body; edited body; added 26 characters in body Dec9 comment Sieve of Erathostenes: removing consecutive itemsWell, if that is the case then $(a-b)p>q$ because there is a prime between $2p$ and $p$. And so one number in the range $ap$ to $bp$ must be divisible by $q$. Dec8 answered Sieve of Erathostenes: removing consecutive items Dec2 awarded ● Editor Dec2 comment How does “modern” number theory contribute to further understanding of $\mathbb{N}$?Thank you! That was a rather stupid typo on my part. Dec2 revised How does “modern” number theory contribute to further understanding of $\mathbb{N}$?deleted 2 characters in body Dec1 answered How does “modern” number theory contribute to further understanding of $\mathbb{N}$?