Largest Known Prime Number Discovered. (Article)



06022013, 03:23 PM
(This post was last modified: 06022013 06:19 PM by Dark Light.)




Largest Known Prime Number Discovered. (Article)
Article here. A math professor has discovered a prime number whose digits number 17,425,170. That is seventeenmillionfour hundredtwenty fivethousandone hundredseventy digits long. This dethrones the previous record of a prime number that is ~12 million. The number in question is 2^57,885,1611.
From the article " the number is the 48th example of a rare class of primes called Mersenne Primes. Mersenne primes take the form of 2 raised to the power of a prime number minus 1. Since they were first described by French monk Marin Mersenne 350 years ago, only 48 of these elusive numbers have been found, including the most recent discovery." 

06022013, 03:33 PM




RE: Largest Known Prime Number Discovered. (Article)
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06022013, 03:42 PM




RE: Largest Known Prime Number Discovered. (Article)
Wait, if the equation is 2^a prime number minus 1 then 2^57885167 1 is bigger then his number.
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06022013, 03:47 PM




RE: Largest Known Prime Number Discovered. (Article)
Forgive what may be an ignorant question, but other than the pursuit of knowledge, what does knowing if that number is prime or not do for us? I am not saying that people shouldn't look for them. Just an innocent question.


06022013, 04:08 PM




RE: Largest Known Prime Number Discovered. (Article)
(06022013 03:47 PM)devilsadvoc8 Wrote: Forgive what may be an ignorant question, but other than the pursuit of knowledge, what does knowing if that number is prime or not do for us? I am not saying that people shouldn't look for them. Just an innocent question.Prime numbers are used a lot in cybersecurity, the bigger the number the harder to crack the codes, because there's no formula that provides prime numbers every single one of them must be calculated individually (there're a few candidates for the formula but they're not proven yet). That's why this stuff can be a big deal. 

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06022013, 11:09 PM




RE: Largest Known Prime Number Discovered. (Article)
(06022013 03:42 PM)earmuffs Wrote: Wait, if the equation is 2^a prime number minus 1 then 2^57885167 1 is bigger then his number.Prove that 2^57885167 1 is prime. 2^4 1 is not prime, so the generic formula 2^a 1 for some value of a does not necessarily make a prime number. 

07022013, 01:59 AM




RE: Largest Known Prime Number Discovered. (Article)
(06022013 11:09 PM)BryanS Wrote:(06022013 03:42 PM)earmuffs Wrote: Wait, if the equation is 2^a prime number minus 1 then 2^57885167 1 is bigger then his number.Prove that 2^57885167 1 is prime. 2^4 1 is not prime, so the generic formula 2^a 1 for some value of a does not necessarily make a prime number. 4 is not prime. The exponent needs to be a prime number. Skepticism is not a position; it is an approach to claims. Science is not a subject, but a method. 

07022013, 02:33 AM




RE: Largest Known Prime Number Discovered. (Article)
Well...
Peaking in this thread was a mistake. I am thoroughly confused. The people closely associated with the namesake of female canines are suffering from a nondescript form of lunacy. "Antienvironmentalism is like standing in front of a forest and going 'quick kill them they're coming right for us!'"  Jake FarrWharton, The Imaginary Friend Show. 

07022013, 03:51 AM




RE: Largest Known Prime Number Discovered. (Article)
I tried to calculate 2^57,885,161 1 on my computer. At around 2^6,500,000 I ran out of memory.
I had to do it iteratively, since using Python's builtin exponentiation function just results in the interpreter locking up and crashing. E ^{2} = (mc ^{2})^{2} + (pc )^{2} _{6}^{14}C → _{7}^{14}N + e^{–} + ̅ν_{e} 2 K_{(s)} + 2 H_{2}O_{(l)} → 2 KOH_{(aq)} + H_{2 (g)} + 196 kJ/mol It works, bitches. 

07022013, 10:23 AM




RE: Largest Known Prime Number Discovered. (Article)
(07022013 03:51 AM)Phaedrus Wrote: I tried to calculate 2^57,885,161 1 on my computer. At around 2^6,500,000 I ran out of memory.Dude, you expected different results? 

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