While researching more on random primes I came across another data sample (I ported to FPC and made into the original byte file). Also see 36,007bit Prime from the same author of this 50,005bit Prime table.

     In mathematics, a prime number (or a prime) is a natural number which has exactly two distinct natural number divisors: 1 and itself. The first twenty-five prime numbers are:

     2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

     Primes are applied in several routines in information technology, such as public-key cryptography, which makes use of the difficulty of factoring large numbers into their prime factors.

Original Hex from Preda Mihailescu

                            16210BD81E34A137E00E656CAD05E102A8243F6250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    Download Binary Output

     Primary Numbers are also useful for compression and hashing routines. Hashing routines are also used in many compression theories, discussed in some upcoming research documents about "SqZ" (a compresion engine I wrote in 1984 based upon LZW and pattern dictionaries).

G.E. Ozz Nixon Jr.

Doug Edwards
eXtreme Accounting