A176831 List of all primes p such that 2*A099609(2n-1)<p<2*A099609(2n).

5, 7, 11, 13, 23, 37, 59, 61, 83, 277, 359, 383, 397, 457, 479, 541, 563, 839, 863, 1201, 1237, 1283, 1319, 1321, 1619, 1621, 1657, 2039, 2063, 2099, 2459, 2557, 2579, 2857, 2903, 2963, 3217, 3863, 4057, 4177, 4259, 4261, 4283, 4621, 4679, 5099, 5101, 5581

Offset

1,1

Comments

Where A099609 is a naive list of twin primes (A077800 prefixed by 2,3).

Links

Michael De Vlieger, Table of n, a(n) for n = 1..10000

Example

a(1)=5 because 2*A099609(2*1-1)=4<5(prime)<2*A099609(2*1)=6;
a(2)=7 because 2*A099609(2*2-1)=6<7(prime)<2*A099609(2*2)=10;
a(3)=11 and a(4)=13 because 2*A099609(2*3-1)<11(prime)<13(prime)<2*A099609(2*3).

Mathematica

Flatten@ Map[Select[Range @@ #, PrimeQ] &, 2 Select[Partition[#, 2, 1] &@ Prime@ Range@ 410, First@ Differences@ # <= 2 &]] (* Michael De Vlieger, Mar 18 2017 *)

Crossrefs

Cf. A077800, A099609, A171821.

Sequence in context: A050541 A098865 A022885 * A263467 A200143 A265780

Adjacent sequences: A176828 A176829 A176830 * A176832 A176833 A176834

Keyword

nonn

Author

Juri-Stepan Gerasimov, Apr 27 2010

Extensions

Entries checked by R. J. Mathar, May 10 2010

Status

approved