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https://mathoverflow.net/posts/510648/revisions Revisions to Asymptotic behaviour of difference set of smooth numbers - MathOverflow difference set smooth asymptotic behaviour numbers mathoverflow revisions https://mathoverflow.net/questions/111196/name-of-a-conjecture-on-difference-of-prime-numbers nt.number theory - Name of a conjecture on difference of prime numbers? - MathOverflow Hello Dear there is a conjecture for which I do not know how it is called. The conjecture is: Every even number can be always written as the difference between... nt number theory prime numbers name conjecture difference https://mathoverflow.net/questions/202316/small-quotients-of-smooth-numbers nt.number theory - Small quotients of smooth numbers - MathOverflow Assume that $N=2^k$, and let $\{n_1, \dots, n_N\}$ denote the set of square-free positive integers which are generated by the first $k$ primes, sorted in... nt number theory smooth numbers mathoverflow small https://mathoverflow.net/questions/510629/asymptotic-behaviour-of-difference-set-of-smooth-numbers nt.number theory - Asymptotic behaviour of difference set of smooth numbers - MathOverflow As usual, a $k$ smooth number is an integer that has no prime factor exceeding $k$. For each fixed constant $k$, let $A$ be the set of $k$ smooth numbers. The... nt number theory difference set smooth asymptotic behaviour numbers mathoverflow https://mathoverflow.net/questions/tagged/prime-numbers Newest 'prime-numbers' Questions - MathOverflow newest prime numbers questions mathoverflow https://mathoverflow.net/questions/tagged/ordinal-numbers Newest 'ordinal-numbers' Questions - MathOverflow numbers questions newest ordinal mathoverflow https://mathoverflow.net/tags/prime-numbers/topusers 'prime-numbers' Top Users - MathOverflow top users mathoverflow prime numbers https://mathoverflow.net/questions/tagged/stirling-numbers Newest 'stirling-numbers' Questions - MathOverflow stirling numbers questions mathoverflow newest https://mathoverflow.net/questions/510394/identity-with-stirling-numbers-of-the-first-kind nt.number theory - Identity with Stirling numbers of the first kind - MathOverflow Let ${n \brack k}$ be the unsigned Stirling numbers of the first kind. With the luck of intuition and after a lot of numerical experiments I conjecture that $$... nt number theory stirling numbers identity first kind https://mathoverflow.net/questions/509867/identities-with-stirling-numbers-of-both-kinds nt.number theory - Identities with Stirling numbers of both kinds - MathOverflow With the luck of intuition, I conjecture that $$ {n+m+1 \brack m+1} = (-1)^n \sum\limits_{k=0}^{n} \left[ \left[ \sum\limits_{i=0}^{k} (-1)^{k+i} 2^{k-i}... nt number theory stirling numbers identities kinds mathoverflow https://mathoverflow.net/questions/tagged/bernoulli-numbers?tab=Active Recently Active 'bernoulli-numbers' Questions - MathOverflow recently active numbers questions bernoulli mathoverflow https://mathoverflow.net/questions/474520/recursion-for-the-sum-with-stirling-numbers-of-both-kinds nt.number theory - Recursion for the sum with Stirling numbers of both kinds - MathOverflow Let $s(n,k)$ be a (signed) Stirling number of the first kind. Let $n \brace k$ be a Stirling number of the second kind. Let $$ f(n,m,i) =... nt number theory stirling numbers recursion sum kinds