A167597 -id:A167597 - cp's OEIS frontend

A176984 Numbers k such that the k-th average of twin prime pairs is a sum of two successive primes.

3, 4, 5, 6, 7, 11, 15, 17, 24, 27, 28, 31, 33, 35, 42, 44, 46, 47, 49, 52, 53, 55, 58, 64, 65, 76, 81, 88, 91, 99, 104, 107, 112, 113, 117, 118, 129, 131, 132, 135, 136, 138, 144, 146, 148, 150, 152, 153, 154, 156, 157, 162, 167, 170, 172, 173, 176, 180, 190, 192, 194

Offset: 1

Juri-Stepan Gerasimov, Apr 30 2010

nonn

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A001043, A014574, A167597.

From R. J. Mathar, Apr 30 2010: (Start)
isA001043 := proc(n) for k from 1 do ps := ithprime(k)+ithprime(k+1) ; if ps >n then return false; elif ps= n then return true; end if ; end do; end proc:
for n from 1 to 800 do if isA001043(A014574(n) ) then printf("%d,",n) ; end if; end do: (End)

{k: A014574(k) in A001043}. - R. J. Mathar, Apr 30 2010

A014574(a(n)) = A167597(n). - Amiram Eldar, Jan 21 2020

a(42) corrected and sequence extended by R. J. Mathar, Apr 30 2010

A179485 Sums of two successive primes s such that s+-3 are primes.

Original entry on oeis.org

8, 100, 1120, 1220, 1300, 2240, 2380, 2414, 3536, 3634, 4906, 4940, 5566, 5740, 6706, 7240, 8864, 9224, 9394, 10136, 10850, 12040, 12476, 12586, 12920, 13180, 13334, 13754, 14630, 14720, 15134, 16270, 17710, 18430, 18800, 19916, 21014, 21320

Offset: 1

Vladimir Joseph Stephan Orlovsky, Jul 16 2010

nonn

Intersection of A001043 and A087695. - Robert Israel, Oct 25 2017

			3+5=8,8-3=5(prime),8+3=11(prime),..

Robert Israel, Table of n, a(n) for n = 1..10000

Cf. A074924, A074925, A167597, A176984, A176986, A075593, A075594, A116360, A076565

Cf. A001043, A087695.

q:= 2; p:= 3;
count:= 0:
while count < 100 do
  q:= p; p:= nextprime(p);
  s:= q+p;
  if isprime(s-3) and isprime(s+3) then
    count:= count+1; A[count]:= s;
  fi
od:
seq(A[i],i=1..count); # Robert Israel, Oct 25 2017

q=3;Select[Table[Prime[n]+Prime[n+1],{n,7!}],PrimeQ[ #-q]&&PrimeQ[ #+q]&]
Select[Total/@Partition[Prime[Range[1400]],2,1],AllTrue[#+{3,-3},PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Sep 04 2018 *)

cp's OEIS Frontend

A176984 Numbers k such that the k-th average of twin prime pairs is a sum of two successive primes.

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