类 Prime::TrialDivision

内部使用。通过试除法实现素数表。

公共实例方法

[](index) 点击切换源代码

返回第 +index+ 个素数。

index 是一个从 0 开始的索引。

# File prime-0.1.3/lib/prime.rb, line 495
def [](index)
  while index >= @primes.length
    # Only check for prime factors up to the square root of the potential primes,
    #   but without the performance hit of an actual square root calculation.
    if @next_to_check + 4 > @ulticheck_next_squared
      @ulticheck_index += 1
      @ulticheck_next_squared = @primes.at(@ulticheck_index + 1) ** 2
    end
    # Only check numbers congruent to one and five, modulo six. All others

    #   are divisible by two or three.  This also allows us to skip checking against
    #   two and three.
    @primes.push @next_to_check if @primes[2..@ulticheck_index].find {|prime| @next_to_check % prime == 0 }.nil?
    @next_to_check += 4
    @primes.push @next_to_check if @primes[2..@ulticheck_index].find {|prime| @next_to_check % prime == 0 }.nil?
    @next_to_check += 2
  end
  @primes[index]
end