Difference between revisions 482177 and 482178 on testwiki

[[File:Bicycle_evolution-numbers.svg|link=https://en.wikipedia.org/wiki/File:Bicycle_evolution-numbers.svg|thumb|The bicycle which is numbered [[1]], [[2]], [[3]], [[4]], [[5]], [[6]], [[7]] to display the old and the new of the bicycles.]]
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== Note when using references section ==
(contracted; show full)
** It should be the first number in the sector!
* a# is the primorial of a. So it should be the number of primes smaller than a, according to the multiply policies. This is counted to be n/ln n, with ln n is the natural logarithm of n, which is the number a in which e^a = n, in which e is an irrational round to 2.718.
** It should be the first number in the sector!

=== Large prime numbers ===
This section list large primes and some type of primes.<ref
> name="The_largest_known_primes">Chris Caldwell, [https://primes.utm.edu/ Top 5000 largest primes]primes/lists/short.txt The Largest Known Primes] at The Prime Pages.</ref>

==== Mersenne primes ====
The largest primes are Mersenne primes because they are easy to find. "Easy" because primes are large and no primes can be found within this notice (every time added). Using the [[enwiki:Lucas-Lehmer test|test]], we can easily known what is a prime and what is not.

The largest prime currently is 2<sup>82589933</sup>-1, found in 2018 by GIMPS.<ref>{{Cite web|url=https://www.mersenne.org/primes/press/M82589933.html|title=Official press release of 51st Mersenne prime number|website=Great Internet Mersenne Prime Search|access-date=7 December 2018}}</ref>

==== Proth primes ====
Using the Exponentiation and Multiplication process, once can confirm that a*2^b has a lot of factors. When add or subtract one, we can get a prime using a great use of networking and luck!

The largest prime currently is 10223 * 2<sup>31172165</sup>+1, found in 2016 by PrimeGrid. For subtraction, the largest prime is 3* 2<sup>17748034</sup>-1, found in 2021 by PrimeGrid (also)!!!

==References==
<references />