A136186 Primes whose decimal and binary reversal are both prime.

3, 5, 7, 11, 13, 17, 31, 37, 71, 73, 97, 101, 107, 113, 131, 151, 167, 181, 199, 313, 337, 353, 359, 373, 383, 701, 709, 727, 739, 757, 797, 907, 937, 941, 953, 967, 1033, 1091, 1109, 1153, 1181, 1193, 1201, 1217, 1229, 1259, 1439, 1453, 1471, 1487, 1619, 1669

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

337 = 101010001 base 2, reverse the sequence of ones and zeros: 100010101 base 2 = 277. 337, 733 and 277 are all prime.

Mathematica

Select[Prime[Range[300]], AllTrue[{IntegerReverse[#], FromDigits[ Reverse[ IntegerDigits[ #, 2]], 2]}, PrimeQ]&] (* Harvey P. Dale, Nov 11 2021 *)

Crossrefs

Cf. A007500, A074832.

Sequence in context: A206864 A155801 A228118 * A023210 A335120 A153601

Adjacent sequences: A136183 A136184 A136185 * A136187 A136188 A136189

Keyword

base,nonn

Author

Harry J. Smith, Dec 19 2007

Status

approved