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8.29 Prime Numbers
include std/primes.e namespace primes public function calc_primes(integer approx_limit, atom time_limit_p = 10)
Returns all the prime numbers below a threshold, with a cap on computation time.
- approx_limit : an integer, This is not the upper limit but the last prime returned is the next prime after or on this value.
- time_out_p : an atom, the maximum number of seconds that this function can run for. The default is 10 (ten) seconds.
A sequence, made of prime numbers in increasing order. The last value is the next prime number that falls on or after the value of approx_limit.
- The approx_limit argument does not represent the largest value to return. The largest value returned will be the next prime number on or after
- The returned sequence contains all the prime numbers less than its last element.
- If the function times out, it may not hold all primes below approx_limit, but only the largest ones will be absent. If the last element returned is less than approx_limit then the function timed out.
- To disable the timeout, simply give it a negative value.
? calc_primes(1000, 5) -- On a very slow computer, you may only get all primes up to say 719. -- On a faster computer, the last element printed out will be 1009. -- This call will never take longer than 5 seconds.
include std/primes.e namespace primes public function next_prime(integer n, object fail_signal_p = - 1, atom time_out_p = 1)
Return the next prime number on or after the supplied number
- n : an integer, the starting point for the search
- fail_signal_p : an integer, used to signal error. Defaults to -1.
An integer, which is prime only if it took less than 1 second to determine the next prime greater or equal to n.
The default value of -1 will alert you about an invalid returned value, since a prime not less than n is expected. However, you can pass another value for this parameter.
? next_prime(997) -- On a very slow computer, you might get -997, but 1009 is expected.
include std/primes.e namespace primes public function prime_list(integer top_prime_p = 0)
Returns a list of prime numbers.
- top_prime_p : The list will end with the prime less than or equal to this value. If top_prime_p is zero, the current list of calculated primes is returned.
An sequence, a list of prime numbers from 2 to <= top_prime_p
sequence pList = prime_list(1000) -- pList will now contain all the primes from 2 up to the largest less than or -- equal to 1000, which is 997.