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There is no formula that will generate all the prime numbers less than or equal to 500.

Perhaps the "next best thing" is that there are some formulas that will generate prime numbers for certain values that are plugged in to the formula, but not necessarily all the prime numbers.

For example, the formula n2 - n + 41 will generate prime numbers for all values of n from 0 to 40, but not for all values greater than or equal to 41. But even for values of n that are less than or equal to 40, while the formula will result in a Prime number, it doesn't generate all the prime numbers. The first few prime numbers generated by this formula (for n = 0, 1, 2, 3, 4, and 5) are 41, 41, 43, 47, 53, and 61. But many prime numbers get "skipped over" by using this, or any other, formula.

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Q: What is the formula of finding prime numbers from 500-0?
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