how is possible calculate every prim numbers from 2 till ... the end - how,what is this formula ... so if may be this exist today,anywhere in present ? - or this is very very difficile to create it ?
prime number fascination has been around a long long time :) a cant recall any of the formulas they tried but its a fun research topic
there are infinite number of prime numbers. no formula can calculate all of them. but computer programs can help
if we multiple for example : 1x2=2+1=3 2x2+1=5 --- 2x3+1=7 --- 2x5+1=11 ---
or 2x3x5+1=31
2*7+1 =15 (not prime) I cannot say how reliable this method is. It does not seem to follow a fixed pattern
yes always exist exceptions
kid in algebra class had the idea that if it ends in a 3 its prime; I was like really? so when they got to 33 I just smiled :)
if you could do such a thing a) you would be very famous b) no one's atm cards would be worth the plastic they are made out of
what is known is how the prime numbers are distributed, not how to find them. turns out that for an integer n the number of primes less than n is around\[ \frac{n}{\ln(n)}\] it has been known since Euclid (300bc) that there are an infinite number of primes
- if we multiple the primes what we know and to this sum we add one we will get prim ? - like 2x3x5+1=31 - or like 2x3x5x7+1=211 - this is true ?
That is the basis for Euclid's proof ie from a supposedly complete list of primes, you could construct another one (they weren't really into infinity, the Greeks).
- the reality for what i have asked this question is because i have one formula with what i can calculate every primes from 5 till 101 - what i have probed - - how much is it interesting ?
What would be interesting is discovery of any statements that can be made about primes in general (or even identifiable groups of them). eg For n>1, there is a prime between n and 2n. It is generally thought that no formula exists that will produce all the primes.
- ok so from your last words i need understanding that if my formula ,,work" how i have wrote till what i have probed it - is it very very usefuly - important - ?
Unfortunately not, maybe you should take a look at http://en.wikipedia.org/wiki/Prime_formula
thank you
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