What are the pattern between the prime numbers starting from 2 onward? Is there a pattern at all?

2, 3, 5, 7, 9, 11, 13, 17, 19, 23, 29, 31,.

It seems to me that it's just random... with no pattern wotsoever.

And: Can somebody explain to me the method of how computers create 100+ digits prime in microseconds? Something aboooooout N= P + Q or something.

:D Thank yooouuuu!

You guys should really read this public lecture, I'm starting and it's very interesting, it's about primes!

http://www.claymath.org/library/public_lectures/mazur_riemann_hypothesis.pdf

I perused the paper. One update. The largest prime he has listed has been since outdone. In September of last year, a Mersenne prime

2^{43,112,609}-1 was discovered.

It has 12,978,189 digits.

I believe that is the largest this far discovered.

It qualified for the $100,000 prize for the first prime discovered with over 10,000,000 digits.

There is a $150,000 prize for the first one over 100,000,000 digits.

Google the Great Mersenne Prime Search and you can help find the next largest prime.

What good are these enormous prime numbers? So far, no real application. It's just for fun and trying to get those awards.

What are the pattern between the prime numbers starting from 2 onward? Is there a pattern at all?


Nope - no dicsernable patttern. If there WAS a pattern, then it would be pretty easy to come up with new primes of whatever length you want.

Galactus, maybe someday in the future, bank transaction would be 10,000,000 prime numbers long=)

Lol, but I wonder why in prime numbers... isn't it easier with 'round' sums, will one or two numbers, and many zeros following up? :rolleyes: