I am researching vulnerable RSA moduli which are composed of primes generated with poor entropy. Having a list of these primes I searched for variable sized repeated patterns among them and I noticed the following:
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A
0AAE2FC971C3D9963587ABCEAF2BAB479A68DDC9EFF0E98F0F5FD488A9DD08CC51C01E9A3CFE46CA10BF6AB5
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A
2CF5B9957C2E6FD04E817F03D2E174BB79364A0FC0BF365807A1F9E3286A04EB90FBE9DD52B0A2F12222AB51
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A
BB02D6D274A02869AF059E586EED6DC634FCC33C455504DD40FC43D23544AC4E8F2C5E5C64E3E7530C7EDB07
DD93536E58A60B0F56BF95FAEDC7CA42A9C9809A
CEF6287DF02847947530B8CA9A125ACCB53EC922D6E9775A3B0169894ED5A46B281C17AF4583874B715B07BB
Four distinct primes have in common their first 160 bits. Apart from being obvious that these primes have been generated by a weak random number generator how can they be used to derive some other primes generated from the same RNG that are potential factors of other moduli?