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

2, 3, 5, 13, 17, 19, 43, 53, 59, 73, 367, 6143

Offset

1,1

Comments

Prime(A035346(n)) = a(n). - Mohammed Bouayoun (bouyao(AT)wanadoo.fr), Mar 19 2004

Links

Table of n, a(n) for n=1..12.

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 * A360418 A249016 A241123

Adjacent sequences: A093074 A093075 A093076 * A093078 A093079 A093080

Keyword

nonn

Author

Robert G. Wilson v, Oct 25 2003

Status

approved