cyprimes 0.7.6

Module for working with prime numbers.

CyPrimes

Module for working with prime numbers written in Cython.

This is just a toy project to try out Cython.

Installation

# pip install cyprimes

To install CyPrimes a C-compiler (e.g. GCC), which must support ISO C99, is required.

Usage

Function is_prime(number)

Returns True if the number is prime. Because it uses the C-type unsigned long long (C99) for number it raises a ValueError if number < 0 or number > cyprimes.max_ulong. It raises a TypeError if number is not an integer.

Function next_prime(number):

Returns the next prime number after number.

Function previous_prime(number)

Returns the previous prime number before number.

Function primes_between(start, end)

Returns a tuple with all prime numbers in the closed interval [start, end].

Class Primes(limit)

This class uses the Sieve of Eratosthenes to find all prime numbers up to limit.

An instance of this class supports the len and sys.getsizeof functions, the in and == operators, subscription (with integer indexes and slices), is iterable, and can be pickled. Two Primes objects are considered equal if they contain the same prime numbers. A TypeError will be raised if limit is not an integer.

Methods: All methods raise TypeErrors if their parameters are not integers and ValueErrors if they are out of range.

• index(number): Returns the index of number. Raises ValueError if number is not prime.

• next(number): Returns the next prime number after number or None if their is none in the given range.

• previous(number): Returns the previous prime number before number or None if their is none in the given range.

• between(start, end): Returns a tuple with all prime numbers in the closed interval [start, end].

Warning

Although this class uses a bitarray for the sieve, be carefull not to run out of memory:

limit	size
100	7 B
1 000	63 B
10 000	625 B
100 000	6 KiB
1 000 000	61 KiB
10 000 000	610 KiB
100 000 000	6 MiB
1 000 000 000	60 MiB
10 000 000 000	596 MiB
100 000 000 000	6 GiB
1 000 000 000 000	58 GiB

History

2022-04-13 (0.7.6)

• Now works with Python 3.10

2021-11-29 (0.7.5)

• Fix method Primes.__eq__()

2021-06-03 (0.7.4)

• Bugfix: should now work correctly on 32-bit systems

2020-12-31 (0.7.3)

• No changes

2020-07-28 (0.7.2)

• Correct version in generated C code

2020-07-28 (0.7.1)

• Add checks to avoid overflow

2020-07-27 (0.7.0)

• Add functions next_prime(), previous_prime(), and primes_between()

2020-06-25 (0.6.0)

• Add methods __eq__(), __hash__(), __sizeof__() ,and __repr__() to class Primes

2020-06-15 (0.5.0)

• Add methods next(), previous(), and between() to class Primes
• Add tests

2020-06-03 (0.4.3)

• Fix: README again :blush:

2020-06-03 (0.4.2)

• Fix: README

2020-06-03 (0.4.1)

• Fix: Primes() and is_prime() now raise TypeErrors if the parameter is not an integer
• Fix: Primes.__reversed__() now works correct

2020-06-02 (0.4.0)

• First public release