cp's OEIS Frontend

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.

A093077 Primes p = prime(i) such that p(i)# + p(i+1) is prime.

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%I A093077 #5 Oct 07 2018 15:46:11
%S A093077 2,3,5,13,17,19,43,53,59,73,367,6143
%N A093077 Primes p = prime(i) such that p(i)# + p(i+1) is prime.
%C A093077 Prime(A035346(n)) = a(n). - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 19 2004
%H A093077 Hisanori Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/matha1/matha106.htm">PI Pn + NextPrime (n = 1 to 100)</a>.
%e A093077 3 = p(2) is in the sequence because p(2)# + p(3) = 11 is prime.
%t A093077 Do[p = Product[ Prime[i], {i, 1, n}]; q = Prime[n + 1]; If[ PrimeQ[p + q], Print[ Prime[n]]], {n, 1, 1435}]
%t A093077 With[{nn=1000},NextPrime[#,-1]&/@(Select[Thread[{FoldList[ Times,Prime[ Range[nn]]],Prime[Range[ 2,nn+1]]}], PrimeQ[ Total[#]]&][[All,2]])] (* _Harvey P. Dale_, Oct 07 2018 *)
%Y A093077 Cf. A087714, A088415, A093078.
%K A093077 nonn
%O A093077 1,1
%A A093077 _Robert G. Wilson v_, Oct 25 2003