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 A379427 #4 Dec 23 2024 01:53:16 %S A379427 5600384,12269234,12700154,37311314,53311754,89357594,102873404, %T A379427 149030894,195567434,198261194,329024954,415090604,446799044, %U A379427 518371124,548711084,718560344,832935284,974972324,980770004,1006398854,1053870704,1081009334,1084372994,1119125894 %N A379427 Numbers n such that prime(k)*n+prime(k+1), for k=1,...,8 all are primes. %C A379427 There are no values of n such that prime(k)*n+prime(k+1), k=1,...,9 are all prime. See A108117 for a proof. %e A379427 5600384 is OK because 2*5600384+3, 3*5600384+5, 5*5600384+7, 7*5600384+11, 11*5600384+13, 13*5600384+17, 17*5600384+19 and 19*5600384+23 all are primes. %o A379427 (PARI) \\ See isok from A108117 %o A379427 for(n=1,2*10^9,if(isok(n,8),print1(n", "))) %Y A379427 Cf. A108110 (k=1..6), A108117 (k=1..7). %K A379427 nonn %O A379427 1,1 %A A379427 _Jason Yuen_, Dec 22 2024