Is there any way to check whether a number is prime from it's binary representation? And I do not mean the classical method of dividing the number n by numbers from 2 to n-1, but actually determining if it is a prime from it's patterns of 0's and 1's.
Well, the difference between binary and decimal is just base number and they aren't fundamentally much different. If you can't do it with decimal, you cannot do it with binary either.