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

  • Level: Undergrad 
  • Thread starter Thread starter Astronuc
  • Start date Start date
  • Tags Tags
    Prime
Join the discussion
Registration is free. Start your own thread to ask a follow-up.
6 replies · 3K views
Staff Emeritus
Science Advisor
Gold Member
2025 Award
Messages
22,715
Reaction score
7,810
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
 
Physics news on Phys.org
I vote for infinity -1 as the largest prime.
What would Cantor say?
 
As someone said before (Appel & Haken?): now the burden lies on proving that the algorithm is correct. :)
 
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.