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

Author

Harry J. Smith, Dec 19 2007

Keywords

• base
• nonn

Examples

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

Links

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

Crossrefs

Cf. A007500, A074832.

Programs

Mathematica

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