The Prime Number that looks like a giraffe in binary

https://www.reddit.com/r/math/comments/7qpfls/does_there_exist_a_prime_number_whose/

0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000001000000000000000000000000000000000000000000
0000000000000000000011000000000000000000000000000000000000000000
0000000000000000000111000000000000000000000000000000000000000000
0000000000000000001111100000000000000000000000000000000000000000
0000000000000000011111100000000000000000000000000000000000000000
0000000000000000011111110000000000000000000000000000000000000000
0000000000000000111111110000000000000000000000000000000000000000
0000000000000000100001111000000000000000000000000000000000000000
0000000000000000000000111000000000000000000000000000000000000000
0000000000000000000000111100000000000000000000000000000000000000
0000000000000000000000011110000000000000000000000000000000000000
0000000000000000000000011110000000000000000000000000000000000000
0000000000000000000000001111000000000000000000000000000000000000
0000000000000000000000001111100000000000000000000000000000000000
0000000000000000000000000111110000000000000000000000000000000000
0000000000000000000000000111111000000000000000000000000000000000
0000000000000000000000000011111110000000000000000000000000000000
0000000000000000000000000011111111100000000000000000000000000000
0000000000000000000000000001111111111000000000000000000000000000
0000000000000000000000000001111111111100000000000000000000000000
0000000000000000000000000000111111111111000000000000000000000000
0000000000000000000000000000011111111111111000000000000000000000
0000000000000000000000000000011111111111111110000000000000000000
0000000000000000000000000000011111111111111111000000000000000000
0000000000000000000000000000011111111111111111100000000000000000
0000000000000000000000000000011111111111111111100000000000000000
0000000000000000000000000000011111111111111111110000000000000000
0000000000000000000000000000011111111111111111110000000000000000
0000000000000000000000000000001111111111111111110000000000000000
0000000000000000000000000000001111111111111111110000000000000000
0000000000000000000000000000001111000011111111100000000000000000
0000000000000000000000000000001111000001111111100000000000000000
0000000000000000000000000000001111000000111111100000000000000000
0000000000000000000000000000011111000000111111100000000000000000
0000000000000000000000000000011011000000011011100000000000000000
0000000000000000000000000000011011000000011101110000000000000000
0000000000000000000000000000110011000000011101110000000000000000
0000000000000000000000000000110011000000011100111000000000000000
0000000000000000000000000000110011000000011100110000000000000000
0000000000000000000000000000110011000000011000110000000000000000
0000000000000000000000000000011001000000010000110000000000000000
0000000000000000000000000000001001000000110000110000000000000000
0000000000000000000000000000000111000000100000110000000000000000
0000000000000000000000000000000111000001100000110000000000000000
0000000000000000000000000000000011000011000000110000000000000000
0000000000000000000000000000000011000011000000110000000000000000
0000000000000000000000000000000011100110000000110000000000000000
0000000000000000000000000000000011100110000000110000000000000000
0000000000000000000000000000000010100110000000100000000000000000
0000000000000000000000000000000110000000000001100000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000000000000000000
0000000000000000000000000000000000000000000000000001000101101001