One note about the "random" in generation of old wallets (until the middle of 2012).
The entire cluster below belonged to one owner. The entire cluster was generated at about the same time (two months). Just look at the wallets and answer me - is this random or not? 

12Rf4ep2H2eLBbzsqex4G4ajAvpy1HARPn
13KKUHYT2MPTdDkA6XAhFFxDQGDb1GgiFm
16hqbeAuVSmQxaEPA14q9qV3RhhdUYSAQX
16qxewbNQwHYdjQHx9HjEtxXaac9gvituH
16yevHBZG3LSEgMBnEJLhzhSVCd2j7nUXS
179s1AHXYrmzzchdLPaMYVX3qh8SvnhD3n
19Ghp4E3AMgbN62qN8osioaxCENGZWQeoU
19M9bCvvq7ndRs9qV4yuZMycwUYytNB2Xq
1Ad9fAZjGAH1vfL88LhJBSB7h9Dq68BWCu
1BS4NfZ3LtirYp9bJrihQn7QgAyixU3nJL
1BhRJqyS62Yzx4AXwGuN9UZnvp9JorVdfn
1DziNMP2JXwWcxNdqJ2BLy6QjmdmFYbxjx
1E6UhG329LfJ3SxEW7oetPnpq5NyW4pP2m
1HMZUnetUmjavpCUVaLUhyMqfJRciAw3jt
1HUthdvt7ipCrxaFn4KBbAdhAN26CQt3dm
1HW8E6q52wBiMgKWxJpqCa2yGhuydyU1UF
1HcDMPfBVJynh8am1hkyWKfk9bXnS5T3Nz
1LTL4AeuxUFoT5Q2USG6j4KR5ZQTWu5KdJ
1MJFFMaZriohY3udf1buUqAHcdP1totNo5
1MPMsap53sW1c3GLycySHGNC8unWHpQKNL