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 A180932 #15 Sep 08 2022 08:45:54 %S A180932 19,41,457,691,929,2539,3181,3659,6637,19181,29059,32579,55921,57839, %T A180932 60733,71011,83203,123547,127081,132113,149371,154823,176819,181873, %U A180932 194917,245501,320911,382541,430981,497711,510481,523433,549817,595207 %N A180932 Primes of the form pq + p + 1 where p < q are adjacent primes. %C A180932 In the sequence of first differences D(9) = 12544 is the square of 112. %C A180932 In the sequence of second differences DD(3) = 4 and DD(7) = 2500 are squares. %H A180932 Harvey P. Dale, <a href="/A180932/b180932.txt">Table of n, a(n) for n = 1..10000</a> %e A180932 a(7) = 3181 since 3181 = 53*(59+1) + 1 where 53 and 59 are successive primes. %t A180932 Select[Times@@#+#[[1]]+1&/@Partition[Prime[Range[200]],2,1],PrimeQ] (* _Harvey P. Dale_, Apr 26 2014 *) %o A180932 (PARI) p=2;forprime(q=3,1e3,k=p*(q+1)+1;if(isprime(k),print1(k","));p=q) \\ _Charles R Greathouse IV_, Sep 27 2010 %o A180932 (Magma) [a: n in [0..200] | IsPrime(a) where a is NthPrime(n)*NthPrime(n+1)+NthPrime(n)+1]; // _Vincenzo Librandi_, Jul 07 2017 %Y A180932 Cf. A180931. %Y A180932 Primes in A286624. %K A180932 nonn %O A180932 1,1 %A A180932 _Carmine Suriano_, Sep 26 2010 %E A180932 New description and editing from _Charles R Greathouse IV_, Sep 27 2010