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A number with exactly five factors is a number that is a Prime number raised to the fourth power (p4). The factors are 1, p, p2, p3, and p4.

Example:
The 5 factors of 54 = 625 are 1, 5, 25, 125, and 625.
The 5 factors of 74 = 2401 are 1, 7, 49, 343, and 2401.
The 5 factors of 114 = 14641 are 1, 11, 121, 1331, and 14,641.
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Q: What numbers have exactly five factors that are over 100?
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