How many possible 256 #Bit semiprimes exist?

How many possible 256 bit semiprimes exist?

Say we’re generating a public RSA key of 256 bits, that is the modulus n. We know that n must be 256 bits long, and must be a semiprime. Are there really that many 256 bit semiprimes?

I’m just a bit confused on what a 256-bit number really means — I know that it’s a number that takes 256 bits to represent. This implies that a 256 bit number is between 0 and (2256 )-1 correct?

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