20171218, 20:03  #12  
If I May
"Chris Halsall"
Sep 2002
Barbados
21442_{8} Posts 
Quote:
They aren't good for anything, in and of themselves. They are too large for anything, except to admire. But... The amount of effort devoted to writing the optimized code to find them, building the communities who donate their efforts, building the distributed systems which coordinate all this work. Yes Virginia. There is value in trying to find large prime numbers. It's a "driving problem". 

20180104, 03:58  #13  
Aug 2010
2×277 Posts 
Quote:
https://arstechnica.com/gadgets/2016...lexworkloads/ 

20180104, 08:44  #14  
Dec 2017
2×5^{2} Posts 
Quote:


20180104, 16:20  #15  
Feb 2017
Nowhere
3,251 Posts 
Quote:
It is perfectly legitimate to lambaste "word problems" or "story problems" as unrealistic. One aspect of them I find most unrealistic is, how they are presented. I have told people who have asked me about how to solve them, "Read the sentences in reverse order." The reason I say this is, in real life, the problem usually presents itself first, and then you are left to figure out what you have available to deal with it. Word problems usually have this bassackwards. They give a litany of seemingly random information, followed  finally  by the actual question to be answered. In using logic and algebra to answer questions, you are using some aspects of critical thinking. Alas, this art seems to have fallen out of favor. 

20180104, 17:01  #16 
Einyen
Dec 2003
Denmark
101100010011_{2} Posts 
You can use them to find Primitive Trinomials (if p=1 (mod 8) or p=7 (mod 8)):
https://mathspeople.anu.edu.au/~brent/trinomold.html https://mathspeople.anu.edu.au/~brent/trinom.html https://arxiv.org/abs/1005.1967 Trinomials can be used for random number generators and error correcting code: https://www.maplesoft.com/applicatio...3464&view=html Last fiddled with by ATH on 20180104 at 17:02 
20180109, 22:07  #17 
"Daniel Jackson"
May 2011
14285714285714285714
2^{2}·149 Posts 
They can also be used to find perfect numbers:
2*3 2^{2}*7 2^{4}*31 2^{6}*127 2^{12}*8191 2^{16}*131071 2^{18}*524287 2^{30}*2147483647 2^{43112608}*M43112609 2^{57885160}*M57885161 2^{74207280}*M74207281 2^{77232916}*M77232917 
20180109, 22:40  #18 
Mar 2016
11×23 Posts 
1. As the order of a prime is p1 in N and p²1 in the complex field
you can use them perhaps as sorting or merging indecies if you know the factorisation of p1 and p+1 You can calculate the f. root of 1 with f  p1 and the g. root of 1 with g  p+1 2. if you know the factorisation of the discriminant b²4ac of a quadratic polynomial you could easy determine an algorithm to generate primes concerning that discriminant 3. if you have the factorisation of f  p1 and g  p+1 it might be possible to calculate pi a little bit more exact. 4. As money losts its value sooner or later, it might be senseful to have some nice primes for paying. 5. if the earth explodes, the universe goes down, the stars switch off what will be the mathematical basics in order to describe the physical background for a new universe, if not the distribution of primes. 6. Personally i like patterns and logical structures which can be explained and programed, maybe the religions answers do not satisfy me, and the search for better algorithms for finding primes and factorisation algorithm is both beautiful and joyful together. Greetings from the primes Bernhard 
20180109, 23:13  #19 
Dec 2014
2^{2}·3^{2}·7 Posts 
Why climb Mt. Everest?
Because it is there! 
20180115, 15:37  #20 
"Luke Richards"
Jan 2018
Birmingham, UK
283_{10} Posts 
There are very large chunks of maths that were completely useless when they were discovered but since found to be very important. I think fractals were one such example.
Investigating for the sake of investigation is not an otherwise fruitless task. 
20180115, 19:00  #21 
Bamboozled!
May 2003
Down not across
5·1,999 Posts 

20180115, 21:59  #22  
"Marv"
May 2009
near the Tannhäuser Gate
487 Posts 
After the announcement has come the predictable slew of articles trying to explain the answer to this question. After explaining the usual security/encription answer, I also mention something similar to what chalsall posted that the tools and processes used to discover it are significant.
Quote:


Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Mersenne Primes p which are in a set of twin primes is finite?  carpetpool  Miscellaneous Math  3  20170810 13:47 
Distribution of Mersenne primes before and after couples of primes found  emily  Math  34  20170716 18:44 
GaussianMersenne & EisensteinMersenne primes  siegert81  Math  2  20110919 17:36 
A conjecture about Mersenne primes and nonprimes  Unregistered  Information & Answers  0  20110131 15:41 
Mersenne Wiki: Improving the mersenne primes web site by FOSS methods  optim  PrimeNet  13  20040709 13:51 