A205533 Intersection of A205302 and A205511.

19, 43, 101, 197, 457, 461, 643, 743, 859, 883, 937, 1301, 1483, 1579, 1877, 1949, 1997, 2083, 2129, 2141, 2221, 2237, 2251, 2381, 2539, 2609, 2617, 2659, 2663, 3019, 3221, 3389, 3461, 3701, 4003, 4157, 4517, 4637, 5573, 5741, 5783, 6763, 6899, 6907, 7349, 7757, 7877

Offset: 1

Author

Vladimir Shevelev and Peter J. C. Moses, Jan 28 2012

Keywords

• nonn
• base

Comments

Both Hamming's distances between a(n) and the previous prime and between a(n) and the next prime equal 1.

Links

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

Crossrefs

Cf. A205302, A205511, A205510, A205509, A001097, A001359, A006512.

Programs

Mathematica

Select[Partition[Prime[Range[1000]], 3, 1], DigitCount[BitXor[#[[1]], #[[2]]], 2, 1] == DigitCount[BitXor[#[[2]], #[[3]]], 2, 1] == 1 &] [[;; , 2]] (* Amiram Eldar, Aug 06 2023 *)

Extensions

More terms from Amiram Eldar, Aug 06 2023