This is the sieve's key distinction from using trial division to sequentially test each candidate number for divisibility by each prime.
42.
An example is given by the above divisibility order |, where 1 is the least element since it divides all other numbers.
43.
Therefore, divisibility by 2, 5, and 10 only depend on whether the last 1 digit is divisible by those divisors.
44.
Unfortunately, economic theory based on the assumption of convexity and perfect divisibility does not offer any clue to this challenging economic problem.
45.
A similar rule can be used to test for divisibility by 9 . Gandalf61 17 : 23, 21 January 2007 ( UTC)
46.
Infinite divisibility parallel universes and multiverse are interesting hypothesis's . talk ) 01 : 06, 26 August 2008 ( UTC)
47.
What one should do to get what I have is consider divisibility by each prime as independent from divisibility by each other prime.
48.
What one should do to get what I have is consider divisibility by each prime as independent from divisibility by each other prime.
49.
For this method, it is also necessary to check for divisibility by all primes that are less than " c ".
50.
Commentators like John Philoponus and Thomas Aquinas reconciled these aspects of Aristotle's thought by distinguishing between mathematical and " natural " divisibility.
