{"id":57473,"date":"2024-10-22T15:31:48","date_gmt":"2024-10-22T15:31:48","guid":{"rendered":"https:\/\/packetstormsecurity.com\/news\/view\/36505\/NVIDIA-Computer-Finds-Largest-Known-Prime-Blows-Past-Record-By-16-Million-Digits.html"},"modified":"2024-10-22T15:31:48","modified_gmt":"2024-10-22T15:31:48","slug":"nvidia-computer-finds-largest-known-prime-blows-past-record-by-16-million-digits","status":"publish","type":"post","link":"https:\/\/www.threatshub.org\/blog\/nvidia-computer-finds-largest-known-prime-blows-past-record-by-16-million-digits\/","title":{"rendered":"NVIDIA Computer Finds Largest Known Prime, Blows Past Record By 16 Million Digits"},"content":{"rendered":"
<\/div>\n

Move aside 282,589,933<\/sup>-1, there\u2019s a new prime juggernaut in town. That\u2019s right: A researcher and former NVIDIA employee has found 2136,279,841<\/sup>-1, the largest known prime number, which clears the former record-holder by over 16 million digits.<\/p>\n

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Prime numbers are positive integers that have no positive integer divisors besides 1 and itself, according to Wolfram MathWorld<\/a>. Or more simply, they\u2019re numbers that can\u2019t be evenly divided by anything other than 1 and the number itself. Some examples: 2, 3, 5, 7, 11, and towards the other end of the positive integer scale, 2136,279,841<\/sup>-1.<\/p>\n

The newly discovered number is shorthanded as M136279841, making it slightly easier for us to mention in conversation. It\u2019s calculated by multiplying two together 136,279,841 times, then subtracting one. The figure is only the 52nd known Mersenne prime, a special class of prime numbers studied by the monk Marin Mersenne in the early 1600s.<\/p>\n

Luke Durant is a researcher and former NVIDIA employee who contributes to the Great Internet Mersenne Prime Search, or GIMPS. In fact, he\u2019s \u201cGIMPS\u2019 most prolific contributor,\u201d according to a press release<\/a>. GIMPS discovered its first Mersenne prime (the 35th in total) in 1996. The survey has discovered the last 18 Mersenne primes, and volunteers can search for the primes themselves using a free program<\/a>.<\/p>\n

Durant used a supercomputer comprised of thousands of GPUs in 17 different countries to find the number, first with an NVIDIA A100 in Ireland, and later confirmed by an NVIDIA H100 in Texas. For his efforts, Durant will receive $3,000 from GIMPS.<\/p>\n

The prime numbers found by GIMPS are identified using a Fermat probable prime test, and then rigorously checked by a Lucas-Lehmer primality test. \u201cThis is the first GIMPS prime discovered using a probable prime test which sparked some debate as to whether the official discovery date should be the date the probable prime test was run or the date the Lucas-Lehmer primality test was run,\u201d the GIMPS team wrote in its release. \u201cWe have chosen the Lucas-Lehmer date.\u201d<\/p>\n

What\u2019s the point of this, you ask? It\u2019s hard to say for now. \u201cAt present there are few practical uses for these large Mersenne primes,\u201d the team wrote, adding that \u201csame doubts existed a few decades ago until important cryptography algorithms were developed based on prime numbers.\u201d Besides the thrill of the hunt\u2014and of course, a cash reward\u2014finding prime numbers is akin to fundamental research<\/a> in mathematics and computer science. Besides actually identifying the figures, it proves out the abilities of cloud supercomputers\u2014networks of GPUs like those that recently found M136279841.<\/p>\n

I should add, the recent prime number warranted a $3,000 award. But the first hundred-million digit prime will warrant a $150,000 prize, and $250,000 for the first billion-digit prime! So what are you waiting for?<\/p>\n

READ MORE HERE<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

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