The Great Internet Mersenne Prime Search (GIMPS) home page is reporting that the 44th Mersenne prime has "probably" been found — i.e., the number has been registered with the GIMPS server and is undergoing checking — as of September 4. Verification should be done in a week. The 43rd one (found in December 2005) was over 9 million digits long; no indication of how big this one is, if it’s indeed a prime.
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