There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
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There is no general formula and, in some respects, that is what makes prime numbers so important and interesting to mathematicians.
There is no formula for prime numbers. They form a random sequence.
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.
So far there has been no formulas found. The randomness of prime numbers make them unpredictable to calculate. There is a bit of a hit and miss formula, which is (2 to the power of p) - 1, with p being a prime number. Prime numbers that fit this are callled "Mersenne primes". Mathematicians are still searching for a formula that works 100% of the time though. =)
11# - 1 = 2309 and 11# + 1 = 2311, both of which are prime.
There is no formula that will specifically give you a prime number and no non-prime number. Therefore, several large numbers are tested to see if they are primes, until a prime number is found.