A145701 Lesser p of twin primes (p,q) such that there exists an integer between sqrt(2p) and sqrt(2q)

3, 11, 17, 59, 71, 179, 311, 419, 881, 1151, 2111, 2591, 3119, 3527, 4049, 5099, 15137, 20807, 21011, 21839, 24419, 30011, 34847, 37811, 41759, 44699, 46817, 60899, 68819, 69191, 83231, 83639, 86111, 100799, 103967, 112337, 135719, 143111

Offset

1,1

Comments

The n-th prime p_n is in the sequence iff A145236(n) = A145236(n+1).

Links

Harvey P. Dale, Table of n, a(n) for n = 1..500

Mathematica

okQ[n_]:=Last[n]-First[n]==2&&Floor[Sqrt[2Last[n]]]>Sqrt[2First[n]]; Transpose[Select[Partition[Prime[Range[13300]], 2, 1], okQ]][[1]] (* Harvey P. Dale, Oct 26 2011 *)

Crossrefs

Cf. A001359, A006512, A145236.

Sequence in context: A127996 A032008 A061368 * A072982 A124787 A080306

Adjacent sequences: A145698 A145699 A145700 * A145702 A145703 A145704

Keyword

nonn

Author

Vladimir Shevelev, Oct 16 2008

Extensions

Extended by R. J. Mathar, Aug 02 2010

Status

approved