Sophie Germain Prime Search found World Record twin primes [pdf]

#1

Post by TwoFx » Tue, Sep 20, 2016, 3:28 PM UTC

Sophie Germain Prime Search found World Record twin primes [pdf]
primegrid.com

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#2

Post by chx » Tue, Sep 20, 2016, 5:07 PM UTC

It's incredibly fascinating how very simple constructs like primes have such complexity to them. It's very easy for a 14 year old to formulate questions relating to primes that noone can answer.

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#3

Post by jason_slack » Tue, Sep 20, 2016, 5:29 PM UTC

what I find interesting is the amount of computing power that it takes to calculate.

Edit: As an after thought, there are recordings of million digit prime numbers: http://www.primegrid.com/download/SR5-180062.pdf

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#4

Post by di » Tue, Sep 20, 2016, 5:31 PM UTC

https://en.wikipedia.org/wiki/Sophie_Germain_prime

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#5

Post by gr3yh47 » Tue, Sep 20, 2016, 6:53 PM UTC

this is a great example of the title change rule making a title worse

i think taglines/subtitles/subject sentences should be eligible for titles too

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#6

Post by labster » Tue, Sep 20, 2016, 9:49 PM UTC

chx wrote: post #2

It's incredibly fascinating how very simple constructs like primes have such complexity to them. It's very easy for a 14 year old to formulate questions relating to primes that noone can answer.

Noone is a pretty smart guy. But there are questions that no one, not even he, can answer.

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#7

Post by niccl » Tue, Sep 20, 2016, 9:52 PM UTC

labster wrote: post #6

chx wrote: post #2

It's incredibly fascinating how very simple constructs like primes have such complexity to them. It's very easy for a 14 year old to formulate questions relating to primes that noone can answer.

Noone is a pretty smart guy. But there are questions that no one, not even he, can answer.

gnome Ann's best friend perhaps? https://xkcd.com/1704/

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#8

Post by mmanfrin » Tue, Sep 20, 2016, 10:15 PM UTC

labster wrote: post #6

chx wrote: post #2

It's incredibly fascinating how very simple constructs like primes have such complexity to them. It's very easy for a 14 year old to formulate questions relating to primes that noone can answer.

Noone is a pretty smart guy. But there are questions that no one, not even he, can answer.

Noone is smart, but Anon is pithy. Anon came up with a ton of choice quotes and sayings, I wonder if he was a contemporary of Aesop?

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#9

Post by pavel_lishin » Tue, Sep 20, 2016, 10:37 PM UTC

Are there chains of Sophie Germain primes?

e.g.,

    p is prime
    2p + 1 is prime
    2(2p + 1) + 1 is prime...

Re: Sophie Germain Prime Search found World Record twin primes [pdf]

#10

Post by teraflop » Tue, Sep 20, 2016, 11:26 PM UTC

pavel_lishin wrote: post #9

Are there chains of Sophie Germain primes? e.g., p is prime 2p + 1 is prime 2(2p + 1) + 1 is prime...

Wikipedia says these are called Cunningham chains: https://en.wikipedia.org/wiki/Cunningham_chain

There are no infinite chains, but there are conjectured to be inifinitely many finite chains of every possible length.