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 A093077 Primes p = prime(i) such that p(i)# + p(i+1) is prime. 1
 2, 3, 5, 13, 17, 19, 43, 53, 59, 73, 367, 6143 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Prime(A035346(n)) = a(n). - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 19 2004 LINKS Hisanori Mishima, PI Pn + NextPrime (n = 1 to 100). EXAMPLE 3 = p(2) is in the sequence because p(2)# + p(3) = 11 is prime. MATHEMATICA Do[p = Product[ Prime[i], {i, 1, n}]; q = Prime[n + 1]; If[ PrimeQ[p + q], Print[ Prime[n]]], {n, 1, 1435}] 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 *) CROSSREFS Cf. A087714, A088415, A093078. Sequence in context: A173971 A095083 A236183 * A249016 A241123 A038983 Adjacent sequences:  A093074 A093075 A093076 * A093078 A093079 A093080 KEYWORD nonn AUTHOR Robert G. Wilson v, Oct 25 2003 STATUS approved

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Last modified July 27 02:39 EDT 2021. Contains 346302 sequences. (Running on oeis4.)