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 A180944 #8 Jul 16 2022 11:54:20 %S A180944 3,5,13,17,19,29,41,47,61,67,73,97,103,107,157,191,229,277,281,283, %T A180944 293,307,379,401,409,491,547,557,569,607,619,659,691,701,751,773,787, %U A180944 823,827,853,883,887,911,971,983,997,1031,1039,1049,1109,1129,1153,1171 %N A180944 Primes such that their product with the successive prime plus the next successive prime plus 1 is a prime. %C A180944 prime(i)*prime(i+1) + prime(i+2) + 1 is prime. %C A180944 In the sequence there are some twins: e.g. (281, 283) and (1949, 1951). %C A180944 There are also successive primes such as (13,17,19); (277,281,283,293,307); (883,887). %e A180944 a(5)=19 since 19*23+29+1=467 is a prime. %t A180944 #[[1]]&/@Select[Partition[Prime[Range[200]],3,1],PrimeQ[ #[[1]] #[[2]]+#[[3]]+1]&] (* _Harvey P. Dale_, Nov 07 2010 *) %Y A180944 Cf. A000040. %K A180944 nonn %O A180944 1,1 %A A180944 _Carmine Suriano_, Sep 27 2010 %E A180944 Missing values starting at 1031 inserted by _R. J. Mathar_, Oct 18 2010