This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A078754 #12 Jul 14 2025 20:43:10 %S A078754 1,8,14,20,21,26,33,35,48,50,51,63,74,75,81,86,90,111,114,116,119,120, %T A078754 128,134,140,153,155,168,174,183,186,200,204,209,215,216,219,230,243, %U A078754 245,249,284,285,288,296,299,300,303,320,321,323,326,329,338,354,363 %N A078754 Numbers k such that for all m>k there are more than n primes between m and 2m (inclusive). %C A078754 The terms shown are only conjectured values. %e A078754 a(3)=14 because for m>14, more than 3 primes always exist between m and 2m (inclusive). %o A078754 (PARI) pn2n(n) = sum(k=n,2*n,if(isprime(k),1,0)); %o A078754 mpn2n(a,m, w)=local(k,M); for(n=a,m, M=0; k=0; while(k<w, if(pn2n(k)==n,M=k; k++,k++); ); print1(M" "); ) %o A078754 mpn2n(1,200,1000) %Y A078754 Cf. A035250. %K A078754 nonn %O A078754 1,2 %A A078754 _Jason Earls_, Jan 08 2003