Largest Prime Number Found: 17,425,170 Digits Long

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In summary, a new prime number with 17,425,170 digits has been discovered by mathematician Curtis Cooper. It is 2 raised to the 57,885,161 power minus 1 and was found through a network of volunteer computers. This number surpasses the previous largest prime discovered in 2008. However, according to Euclid's proof, the number of primes is infinite, so there is no true "largest" prime number.
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The largest prime number yet has been discovered — and it's 17,425,170 digits long. The new prime number crushes the last one discovered in 2008, which was a paltry 12,978,189 digits long.

The number — 2 raised to the 57,885,161 power minus 1 (257885161 -1) — was discovered by University of Central Missouri mathematician Curtis Cooper as part of a giant network of volunteer computers devoted to finding primes, . . . .
http://news.yahoo.com/largest-prime-number-discovered-165757465.html
 
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  • #2
Oh right - the largest one found so far...
 
  • #3
I vote for infinity -1 as the largest prime.
 
  • #4
I vote for infinity -1 as the largest prime.
What would Cantor say?
 
  • #5
As someone said before (Appel & Haken?): now the burden lies on proving that the algorithm is correct. :)
 
  • #6
largest KNOWN prime number.
 
  • #7
Indeed already the Greek mathematician Euclid of Alexandria (fl. 300 BC) proved in his Elements, Book IX, Proposition 20 that the number of primes is infinite wherefore there cannot be the largest one.
 

1. What makes a number a prime number?

A prime number is a positive integer that is only divisible by 1 and itself. In other words, it has no other factors besides 1 and itself.

2. How do scientists find large prime numbers?

Scientists use advanced algorithms and computer programs to search for large prime numbers. These programs use mathematical techniques to identify patterns and properties of numbers that can help identify which ones are prime.

3. Why is the discovery of a large prime number significant?

The discovery of large prime numbers is significant because they have practical applications in cryptography, coding theory, and other areas of mathematics and computer science. They also help us better understand the properties of numbers and their behavior.

4. How does the size of a prime number affect its significance?

The size of a prime number does not necessarily affect its significance. However, larger prime numbers can have more practical applications and can also provide insight into the complexity and behavior of numbers.

5. Is there a limit to how large a prime number can be?

Currently, there is no known limit to how large a prime number can be. As technology and mathematical techniques continue to advance, larger and larger prime numbers are being discovered. However, it is believed that there is an infinite number of prime numbers, so there is no theoretical limit to their size.

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