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write a program considering the below conditions

Construct a program such that the inputs are a prime integer p > 72 and a non-zero number a mod p. There is a set B = {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47} called a factor base. The program returns 15 distinct x such that a x mod p is a multiple of numbers in the set B.

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