Prime numbers containing only digits 0 and 1 whose reverse in base 10 is also prime.
11, 101, 10011101, 10111001, 100100111, 100111001, 110111011, 111001001, 111010111, 1000110101, 1001001011, 1010001101, 1010011111, 1010110001, 1011000101, 1101001001, 1111100101, 10010100101, 10100000011, 10100000111, 10100101001, 10111001011
1
These are the terms in S001031 having only digits 0 and 1.
T. D. Noe, Plot of 1150 terms (terms < 10^18)
T. D. Noe, Table of 1150 terms (terms < 10^18)
Eric W. Weisstein, MathWorld: Prime Number
(Mma) t1 = Select[Table[FromDigits[IntegerDigits[n, 2]], {n, 3, 2^12, 2}], PrimeQ]; Select[t1, PrimeQ[FromDigits[Reverse[IntegerDigits[#]]]] &]
nonn,base
T. D. Noe, May 22 2017