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

Author

Vladimir Shevelev, Oct 16 2008

Keywords

• nonn

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

Crossrefs

Cf. A001359, A006512, A145236.

Programs

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 *)

Extensions

Extended by R. J. Mathar, Aug 02 2010