A205302 Greater of Hamming's twin primes.

3, 7, 19, 23, 31, 43, 47, 71, 101, 103, 139, 151, 167, 197, 199, 271, 283, 311, 317, 367, 383, 397, 409, 457, 461, 463, 503, 523, 571, 619, 643, 647, 677, 743, 751, 773, 811, 823, 859, 863, 883, 887, 911, 937, 941, 991, 1013, 1051, 1063, 1117, 1231, 1279, 1291, 1301, 1303, 1483, 1487

Offset: 1

Author

Vladimir Shevelev, Jan 28 2012

Keywords

• nonn
• base

Comments

The Hamming distance between a(n) and the previous prime is 1 (cf. A205510).

Links

• M. F. Hasler, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A205510, A205511, A205533.

Cf. A001097, A001359, A006512.

Programs

Mathematica

Select[Partition[Prime[Range[250]], 2, 1], DigitCount[BitXor[First[#], Last[#]], 2, 1] == 1 &] [[;; , 2]] (* Amiram Eldar, Aug 06 2023 *)

PARI

n=0;for(i=1,80,until(A205510(n++)==1,);print1(prime(n+1)","))  \\ M. F. Hasler, Jan 29 2012

Extensions

a(10)-a(57) from Peter J. C. Moses, Jan 28 2012

Values verified by M. F. Hasler, Jan 29 2012