Historical context
The great swiss mathematician Leonhard Euler found the formula 
to give some prime numbers.
to give some prime numbers.Problem statement
For a given integer m, m >= 41, list the Euler prime numbers less or equal to m in a vector ep. Also compute their frequency / ratio f compare to all the primes in the same range. If m is not a positive integer greater or equal to 41, your function should return ep = [] and f = 0.
Examples (check the tests for more)
- If m = 41 then ep = 41 and f = 1 since 41 = P(0) and it is the only prime number m greater or equal and less or equal to 41;
- If m = 100 then ep = [41, 43, 47, 53, 61, 71, 83, 97] and f = 8/13 since 41 = P(0), 43 = P(1), 47 = P(2), 53 = P(3), 61 = P(4), 71 = P(5), 83 = P(6), and 97 = P(7), and in total there are 13 prime numbers in the range [41; 100] ;
- If m = 19 then ep = [] and f = 0;
Tip
n is less or equal to 107 here.
Fobidden functions
- regexp
- str2num
- assignin
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Thanks for the cool problems. Keep 'em coming!
Thank you Christian for your nice solutions :-) I used a variation of one of them here for my first solution ;-)