I see portable GPU programs, with cuda calculations, Make Miller-Rabin algorithm vectorized - to be able GPU parallelism there (CUDA, OpenCL, etc), Your project working with GPU calculations.
Python realization need to install python and Numba, p圜uda, and this not portable.īut there is " Sieve of Eratosthenes", and this need memory,Īnd cann't save prime numbers as result in the file - before full generate all. cu files from github need to be compiled, I cann't see vectorized implementation of this algoritm, as portable EXE for windows, to be able for using GPU calculations. I have JavaScript implementation of this algoritm, using BigIntegersīut 10 million primes in browser not convenient to generate. Miller-Rabin algorithm working fastly, and have so low errors percentage even with 10 rounds.Ĭan this be vectorized to using parralel GPU calculations? So I think this can be calculated, using molecular dinamycs and molecular computers, like the source of synergy for molecular nano-algorithmics. So I just see, you don't have projects to calculate consecutive primes, and don't have any database, like this: Just by using a skip sectors with consecutive primes,Īnd without invest there many MIPS, FLOPS and timeġ gram DNA can containing 700 Terabytes information, and maybe this space can be filled as consecutive primes. I think will be better to search Nth-prime, To sieve prime numbers and get first trillion consecutive primes, for example? How long will be working the fastest algorithm There is no consecutive primes lists with this range.Īnd. This is good, and I see fast searching N-th prime.īut.
I see here: using database with 30 trillions. Nevertheless, there are lists of those on the internet, such as this. If you want "the first N prime numbers" or "all prime numbers up to X", which is indeed something used for sieving (judging that the post is in the Sieving subforum), there's little to no reason to store them explicitly as they are much quicker generated on the fly (sieve of Eratosthenes, sieve of Sundaram, etc.) than read from disk/network. I got an error, because client-side JavaScript calculations there. If you are not using graphics enabled BOINC client, you may use.Select which subprojects to run via the.
If "a" and "b" are not coprime, then every common factor (divisor) of "a" and "b" is a also a factor (divisor) of the greatest common factor, GCF (greatest common divisor, GCD, highest common factor, HCF) of "a" and "b". If two numbers "a" and "b" have no other common factors (divisors) than 1, gfc, gcd, hcf (a b) = 1, then the numbers "a" and "b" are called coprime (or relatively prime).
After running both numbers' prime factorizations (factoring them down to prime factors): If "t" is a common factor (divisor) of "a" and "b", then the prime factorization of "t" contains only the common prime factors involved in both the prime factorizations of "a" and "b", by lower or at most by equal powers (exponents, or multiplicities).įor example, 12 is the common factor of 48 and 360. If "t" is a factor (divisor) of "a" then among the prime factors of "t" will appear only prime factors that also appear on the prime factorization of "a" and the maximum of their exponents (powers, or multiplicities) is at most equal to those involved in the prime factorization of "a".įor example, 12 is a factor (divisor) of 60: