Comments (1)
I am asked about supporting primes > 2^64 about once a year and I have thought about whether or not to implement this quite extensively.
Here are the reasons why I will not implement this:
- Most libprimesieve use cases require generating small primes.
- The segmented sieve of Eratosthenes uses O(sqrt(n)) memory which becomes an issue above 2^64. E.g. primesieve would require > 1 terabyte of RAM for sieving near 10^25.
- The initialization time of the segmented sieve of Eratosthenes becomes a bottleneck past 2^64. The initialization could takes hours for large numbers even if sieving a tiny interval.
- libprimesieve should be extremely portable without any external dependencies.
boost::multiprecision
is not an option because it is so slow it is not even funny.
My main design goals for primesieve are: it should be self contained (no external dependencies), it should use only standard C++ and it should be extremely portable.
Sorry, I know supporting arbitrarily large primes would be cool but it won't happen.
from primesieve.
Related Issues (20)
- Add vectorized fillNextPrimes() algorithm for other CPU archtectures (e.g. arm64) HOT 2
- Add runtime AVX512 detection HOT 1
- Troubles building on MinGW64 system HOT 3
- Range insertion speeds up generate_primes HOT 6
- Test failure: segfaults starting with 8.0 HOT 8
- printing large numbers of primes HOT 2
- Help confirm Windows bug with Intel big.LITTLE CPUs (>= 12th Gen.) HOT 3
- Sister project technology transfer
- primesieve-python: what happened to it? `python3 -c $'import primesieve'` fails HOT 7
- how can you search prime numbers with in a certain range like HOT 1
- sieve is not best match on 13gen cpu? HOT 1
- python version of primesieve since they have no issue section.
- Use file as "reference" HOT 1
- One off error in C/CPP API libprimesieve multi-threading demonstrations HOT 8
- primesieve_iterator: cannot generate primes > 2^64, but did not specify above 2^64 HOT 8
- Tried AVX512 pre-sieving: no speedup
- atomics detection is broken HOT 10
- unity build support HOT 6
- Riemann_R test fails on aarch64 and s390x architecture HOT 7
- MSVC AVX512 status
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